Scope: This dossier assesses the distinct trajectories of quantum computing, quantum communications and cryptography, and quantum sensing through 2031, separating civilian and military applications and examining their technical evidence, institutional ownership, industrial dependencies and consequences for government decisions.

Executive Summary / BLUF

[D/P] The controlling judgment is that quantum policy requires separate investment and assurance decisions for computational experiments, cryptographic migration and sensing systems, because the verified record establishes different kinds of progress across these activities rather than a common transition to operational capability. Quantum error correction below the surface code threshold — Nature — Dec 2024; Announcing Approval of Three Federal Information Processing Standards (FIPS) for Post-Quantum Cryptography — NIST — Aug 2024. Nature

[P] The immediate executive obligation is to govern cryptographic migration against data lifetimes and replacement cycles, with European transition milestones extending from initiation by the end of 2026 to critical-infrastructure protection by the end of 2030, while the United Kingdom distinguishes discovery by 2028, priority migration by 2031 and completion by 2035. EU reinforces its cybersecurity with post-quantum cryptography — European Commission — Jun 2025; Timelines for migration to post-quantum cryptography — NCSC — Mar 2025. Shaping Europe’s digital future

[D/R] Error-correction experiments support continued investment in computing, but a demonstrated memory or logical-operation protocol must remain distinct from a vendor commitment to deliver a machine, including IBM’s target of 200 logical qubits and 100 million gates in 2029. A fault-tolerant neutral-atom architecture for universal quantum computation — Nature/NIST — Nov 2025; Quantum 2030 — IBM Technology Atlas — updated Mar 2026. NIST

[C/P] Government-reported navigation flight trials justify further evaluation rather than fleet-readiness claims, while the NSA’s position published on 1 October 2026 continues to reject QKD for national-security transmission unless specified limitations are overcome. Un-jammable quantum tech takes flight to boost UK’s resilience against hostile actors — DSIT/UKRI — May 2024; Cryptograph Solutions are Limited Compared to Quantum-Resistant Algorithms — NSA — Oct 2026. GOV.UK

Quantum Policy Must Buy Protection and Evidence

Governments should finance quantum policy according to what it can protect or deliver, because the technology’s security timetable has already diverged from its computing timetable. NIST’s adoption of FIPS 203, FIPS 204 and FIPS 205 on 13 August 2024 gave institutions standards for preparing ordinary digital systems against future quantum attacks; it did not demonstrate a quantum computer capable of executing those attacks. That distinction should determine expenditure: ministries must replace vulnerable security dependencies while buying computing progress against verifiable milestones and measurement equipment against defined tasks. Confusing these responsibilities would expose long-lived information, misstate industrial achievement and reward suppliers for a label rather than a delivered function. The governing test is whether each commitment purchases protection, knowledge or an accepted service, with evidence appropriate to that purpose.

A security upgrade cannot certify a quantum computer

Post-quantum cryptography describes mathematical protection performed on conventional systems, rather than quantum processing inside the institution adopting it. ML-KEM establishes shared secret material; ML-DSA and SLH-DSA provide digital signatures. A successful implementation therefore demonstrates a cryptographic operation within its tested scope, while establishing nothing about the reliability of a quantum processor. The distinction matters politically because the phrase “quantum-safe” can make a cybersecurity purchase sound like the acquisition of quantum computing capacity, allowing an accurately described security improvement to become an unsupported industrial claim.

The Willow protected-memory experiment provides evidence of a different kind: physical quantum information preserved through error correction under specified conditions. Its significance lies in the engineering result, whose limits must remain visible, rather than in the adoption of a security algorithm elsewhere. Governments should assess these achievements through separate acceptance tests, because the information-protection programme has to reach the actual services holding sensitive data, while the computing programme has to establish the calculations its equipment can complete.

The figures measure different promises and obligations

Britain’s £2.5 billion quantum research and innovation commitment covers ten years from 2024; France’s May 2026 announcement adds €1 billion for 2026–2030; Australia’s A$940 million commitment concerns a particular computing project. These amounts cannot be ranked as comparable annual expenditure or completed capacity. Their different periods and scopes determine what each government has undertaken, while contract performance and operational acceptance determine what it ultimately receives. India’s March 2026 disclosure makes the distinction concrete: for IIT Bombay, the reported release was ₹114.89 crore and utilisation ₹22.31 crore, within a selected institutional row rather than the whole National Quantum Mission. Authorisation, payment and use remain different financial facts.

The technical calendars are equally incompatible. IBM’s Starling roadmap targets 200 logical qubits and 100 million processing operations in 2029; France’s PROQCIMA programme now targets 1,024 logical qubits in 2032, increased from its earlier target of 128. DARPA’s Quantum Benchmarking Initiative asks whether computational value can exceed cost by 2033. None establishes a completed service within the report’s 2026–2031 horizon. Britain’s National Cyber Security Centre, meanwhile, sets discovery and planning milestones for 2028, highest-priority migration work for 2031 and completion for 2035. Those dates govern organisational preparation rather than predict an attacker’s arrival, so a security deadline can precede computing maturity without contradiction.

The application evidence further narrows what these commitments can promise. The GIRAFE airborne gravimetry study, published in April 2025 from a June–July 2023 campaign, reported approximately 1–2 milligals accuracy for both quantum and conventional instruments; a milligal measures small gravity differences. The comparison supports evaluation of a defined instrument rather than automatic technological superiority. A July 2026 reinforcement-learning study reported approximately 20% additional logical-error suppression in specified Willow experiments, supporting a measured AI contribution to control rather than a claim that AI has completed the engineering of a reliable computing service.

Procurement must follow the result into operation

The Royal Navy’s August 2026 announcement concerning AQlock clocks and Saab radar equipment supports examination of a named timing trial. It does not establish complete navigation independence or fleet-wide readiness, because maintaining time and determining position are different functions. The procurement question is consequently whether the tested instrument can maintain the required service throughout the intended disruption, with supporting equipment, trained users and a workable recovery procedure. Buying a device without specifying that responsibility would leave acceptance dependent on the supplier’s preferred description.

The GIRAFE airborne gravimetry study offers a stronger comparison framework because it examined a quantum instrument alongside conventional equipment in an actual survey campaign. Its lesson for procurement is that the alternative must be competitive and the task explicit: measurement quality, processing requirements and maintenance determine usefulness more directly than the technology label. Quantum computing contracts need the same discipline, with a named calculation, complete execution cost and independent assessment. DARPA’s Quantum Benchmarking Initiative institutionalises that question by testing utility against cost, rather than treating access to equipment as sufficient evidence of value.

Standards open a transition without certifying the estate

FIPS 203, FIPS 204 and FIPS 205 specify mechanisms; they do not certify every product, replace every certificate hierarchy or verify every software-update path. NIST’s migration work distinguishes discovery of cryptographic dependencies from interoperability testing, exposing the management burden that lies between an approved algorithm and a protected service. A ministry has to establish where the older methods operate, which suppliers control replacement and whether both ends of a connection can support the change, while maintaining continuity during deployment. A procurement announcement cannot substitute for those acceptance results.

NSA’s published position on quantum key distribution also limits the claim that special quantum equipment provides a complete security answer. Its objections include authentication, trusted relays, implementation assurance and availability, with conditional rejection for the national-security transmission use discussed. That position should not be turned into a universal prohibition, but it requires a buyer to explain the threat model and the trust arrangement before crediting an additional benefit. Mathematical migration and specialised communications infrastructure need separate business cases, preventing a hardware proposal from inheriting the justification for a different security mechanism.

European coordination cannot replace control of components

The European Commission’s Quantum Europe Strategy, adopted in July 2025, identifies fragmentation and the difficulty of converting scientific strengths into market opportunities. Italy’s strategy adoption that month establishes a coordinating framework, while France’s PROQCIMA programme sets a computing ambition that still requires verified delivery. Germany’s quantum action concept links development to industrial implementation, and Britain’s National Cyber Security Centre gives system owners a staged security transition. These instruments serve different responsibilities; treating them as interchangeable national victories would obscure whether public money is building production, supporting research or changing operational systems.

Japan’s May 2025 ecosystem policy identifies concerns involving specialist lasers, detectors, diamond materials and refrigeration-related equipment, illustrating where industrial dependence can survive the purchase of a finished machine. The EU’s sovereignty objective therefore has to reach design, production, maintenance and replacement options, with contracts identifying indispensable suppliers. Cooperation can improve access, but the buyer still needs to know who repairs the equipment and who controls the components that keep it operating. National installation counts cannot answer those questions, and a domestic research achievement cannot by itself establish continuity of supply.

The next two years will charge delay to system owners

Between October 2026 and October 2028, the practical test should be whether institutions have converted NIST standards and the National Cyber Security Centre’s discovery milestone into funded inventories, tested changes and accountable service plans. Delay would leave the work with security teams, infrastructure operators and future procurement budgets, while long-lived information would continue to depend on the protection already in place. The cost is conditional exposure and a deferred replacement burden, rather than an invented estimate of losses from a quantum attack whose operational arrival remains unestablished.

IBM’s roadmap, PROQCIMA and the Quantum Benchmarking Initiative should face the corresponding industrial test: each next funding decision should identify which uncertainty has been reduced and which capability has been demonstrated. If governments report post-quantum cryptography as proof of quantum computing maturity, taxpayers would finance an overstated achievement and operational users would inherit an unverified promise. The decision over the next 24 months is to complete measurable security preparation and make further industrial commitments conditional on evidence; announcements alone would leave both responsibilities with the institutions expected to operate the result.


Navigational Index

The dossier retains the eleven substantive sections requested in the topic document within the governing protocol’s architecture of exactly three thematic pillars; chapter identifiers are retained in the index, while substantive headings remain unnumbered.

Pillar 0 — Quantum Technologies Explained for Political Leaders and Nontechnical Readers

What Works Today, What Still Prevents Wider Use, and What Governments Should Prepare for by 2031

Pillar I — Mechanisms, Hardware and Computational Evidence

Dossier sectionRequired coverage
Chapter 1 — Executive AdjudicationFive findings that change ministerial decisions; the evidence supporting each finding; the consequences of confusing a demonstration, programme, roadmap or unsupported claim.
Chapter 2 — The TaxonomyThe three technology stacks; mechanism-level interpretation of public terminology; a comparison of technical and institutional readiness; forbidden synonyms and misleading equivalences.
Chapter 3 — Quantum Computing: Hardware TruthSuperconducting, trapped-ion, neutral-atom, photonic, silicon-spin and topological platforms; physical and logical resources; fidelity definitions; demonstrated error correction; manufacturing and sovereign supply-chain constraints.
Chapter 4 — What Quantum Computers Can and Cannot Do in 2026Chemistry, materials, optimisation, sampling, factoring and discrete logarithms, assessed against problem size, classical comparators, verification cost and the resources required for fault tolerance.

Pillar II — Security Migration and Operational Applications

Dossier sectionRequired coverage
Chapter 5 — CryptographyQKD, quantum-secure direct communication, quantum networks, PQC, symmetric cryptography, harvest-now-decrypt-later exposure, named cryptanalytic resource estimates and jurisdiction-specific migration requirements.
Chapter 6 — Civilian Uses That Are RealFinance, telecommunications, pharmaceuticals, energy, metrology and civil positioning, navigation and timing, retaining only applications supported by a named deployment, pilot, experiment or standard.
Chapter 7 — Military and Intelligence Uses That Are RealSensing and timing, communications and computing assessed separately; contested-spectrum PNT, magnetic-anomaly missions, subsurface detection, distributed timing, national-security cryptographic migration and experimental networks.

Pillar III — Industrial Power, Conditional Outlook and Decisions

Dossier sectionRequired coverage
Chapter 8 — The Industrial and Geopolitical LayerUnited States, China, European Union, United Kingdom, Japan, India, Israel, Australia and Canada, with separate Italian, French and German lenses; transparent expenditure, hardware sovereignty, standards, talent and operative export controls.
Chapter 9 — Five-Year Outlook Under AI AccelerationConstrained, base and accelerated pathways across 2026–27, 2028–29 and 2030–31, conditional on error correction, logical resources, decoder latency, manufacturing yield and cryptanalytic developments.
Chapter 10 — Implications for Decision-MakersApplication-level action matrix for civil government, defence, critical infrastructure and enterprise, distinguishing immediate action, monitored investment, unsuitable procurement and claims requiring retirement.
Chapter 11 — AnnexesGlossary and forbidden synonyms; source register with retrieval dates; ten claim corrections; uncertainty register and records capable of changing the assessment.

Front Matter

Method and Evidentiary Boundary

This assessment treats the supplied text file as the governing report protocol and the supplied Markdown file as the subject-specific specification, admitting peer-reviewed technical papers and explicitly identified preprints where the latter document theoretical estimates rather than experimentally established capability.

The governing question is: which decisions should institutions take between 2026 and 2031 when hardware demonstrations, security requirements, funded programmes and commercial forecasts advance on different schedules?

All sources cited in this opening delivery were retrieved on 4 October 2026; their publication dates identify the age of the evidence rather than implying that the underlying experiment, policy position or roadmap was newly established on the assessment date.

Tag Legend

TagMeaning and application
[D] DemonstratedA peer-reviewed hardware result, bounded by its platform, experimental conditions, measured quantity and limitations; publication does not by itself establish independent reproduction or operational accreditation.
[P] ProgrammeAn adopted standard, funded activity, contractual requirement or institutional migration framework, whose existence does not establish that implementation has been completed.
[R] RoadmapA dated future target that remains conditional on milestones and delivery evidence.
[C] ClaimAn attributed institutional or company assertion, including a theoretical resource projection that has not been demonstrated on the complete proposed hardware.
[H] HypeA proposition that confuses mechanisms, removes a decisive limitation or assigns capability without a corresponding technical basis.

Where a sentence draws an analytical conclusion from evidence, its tag identifies the underlying evidence category, while wording such as “the assessment therefore” makes clear that the conclusion is a judgment rather than an additional experimental result.

What This Report Will Not Do

The dossier will not assign a universal maturity score to “quantum,” infer cryptanalytic capability from a physical-qubit headline, turn an experimental sensor into a military detection range, count announced investment as expenditure, or present a procurement recommendation without identifying the mechanism, mission, acceptance criteria and responsible institution.

Executive Adjudication

Cryptographic Migration Requires an Owner Before It Requires a Quantum Computer

[P] Finding — Decision changed: establish a funded migration authority, an asset inventory and replacement obligations rather than making preparation conditional on an agreed date for a cryptographically relevant quantum computer. The January 2026 G7 Cyber Expert Group statement addresses the financial sector’s transition as a coordinated governance problem, explicitly incorporating the exposure created when information intercepted before a future quantum capability remains sensitive when that capability becomes available; its timetable is described as non-authoritative and responsive to changing risk, which prevents its use as either a prediction of machine arrival or a universal regulatory deadline. G7 Cyber Expert Group Statement on Advancing a Coordinated Roadmap for the Transition to Post-Quantum Cryptography in the Financial Sector: January 2026 — G7 Cyber Expert Group/HM Treasury — Jan 2026. GOV.UK

The recommended governance response is to assign responsibility for confidentiality, authentication and software-signing dependencies separately, because the replacement plan must account for the lifetime of information, the lifetime of deployed equipment and the authority to change the relevant cryptographic implementation.

Computing Procurement Must Purchase a Workload Result

[D] Finding — Decision changed: condition computing expenditure on reproducible logical performance and a specified workload, with physical-qubit count treated as a hardware descriptor rather than an acceptance test. Google’s Willow paper establishes below-threshold surface-code memory experiments on processors containing 72 and 105 physical qubits, with a distance-5 experiment using an integrated real-time decoder and a distance-7 memory experiment; the authors explicitly identify additional challenges in logical computation, so this result supports an error-correction milestone without establishing a cryptanalytic machine or a general industrial advantage. Quantum error correction below the surface code threshold — Nature — Dec 2024. Nature

The proposed purchasing rule is to require the supplier to identify the computational task, logical operations, complete execution time, verification method and classical comparator before a machine-level performance claim enters an institutional business case.

QKD Requires a Specific Threat Model and Assurance Route

[P] Finding — Decision changed: separate QKD research or specialist-link evaluation from national-security cryptographic migration, rather than allowing a physical-layer security argument to determine system accreditation. In its October 2026 publication, the NSA retains a conditional position against QKD for national-security transmission and identifies absent source authentication, dedicated equipment, trusted-relay exposure, implementation vulnerabilities and denial-of-service sensitivity as material limitations; its wording includes “does not recommend using quantum key distribution,” while its broader position remains conditional on overcoming the listed problems. Cryptograph Solutions are Limited Compared to Quantum-Resistant Algorithms — NSA — Oct 2026. nsa.gov

The recommended approval test is to require a named authentication mechanism, relay-trust model, physical-security boundary, implementation evaluation and availability requirement, with the approving authority determining whether those properties satisfy the actual mission.

Sensing Investment Should Advance Through Mission Trials

[C/R] Finding — Decision changed: finance instrument integration and mission-relevant evaluation while withholding fleet-capability claims until published performance or accreditation evidence supports them. The British government reported flight trials involving Infleqtion, BAE Systems and QinetiQ at Boscombe Down in May 2024, supported by nearly £8 million in government backing, while describing aircraft deployment by 2030 as a national mission objective; the public announcement therefore establishes an officially reported trial and future target, rather than a disclosed navigation-error envelope or a completed operational deployment. Un-jammable quantum tech takes flight to boost UK’s resilience against hostile actors — DSIT/UKRI — May 2024. GOV.UK

The proposed acceptance programme should specify navigation drift, duration without external correction, environmental tolerance, maintenance burden and integration with existing navigation systems before the instrument is credited with a mission effect.

AI Funding Requires a Named Bottleneck and a Measured Gain

[D] Finding — Decision changed: fund AI as an experimentally evaluated control or decoding tool, with expenditure tied to the bottleneck it addresses rather than to a general claim of accelerated quantum maturity. A July 2026 Nature paper reports approximately 20% additional logical-error suppression from reinforcement-learning fine-tuning after conventional calibration, together with a distance-7 surface-code logical-error rate of 7.72(9) × 10⁻⁴ using the AlphaQubit2 decoder; this supports a specific improvement in the tested control-and-decoding setting, while providing no basis for substituting AI for the physical operations required by the architecture. Reinforcement learning control of quantum error correction — Nature — Jul 2026. Nature

Master Abstract

Three Stacks Require Separate Evidence and Separate Decisions

[D/P] The central distinction is between computing systems that manipulate and protect quantum information, communication systems that distribute quantum states or keying material, and classical cryptographic mechanisms standardised to resist specified classes of quantum attack; NIST’s FIPS 203 establishes a key-encapsulation mechanism, while FIPS 204 and FIPS 205 establish digital-signature mechanisms, so their adoption must be assessed as cryptographic implementation rather than evidence that a quantum communication or computing platform has become operational. Module-Lattice-Based Key-Encapsulation Mechanism Standard — NIST, FIPS 203 — Aug 2024; Module-Lattice-Based Digital Signature Standard — NIST, FIPS 204 — Aug 2024; Stateless Hash-Based Digital Signature Standard — NIST, FIPS 205 — Aug 2024. CSRC

The dossier’s recommended institutional architecture therefore assigns computing evaluation to workload and hardware specialists, cryptographic migration to accountable security and infrastructure owners, and sensing acquisition to the organisation that can define and test the intended mission; common scientific foundations do not remove the need for separate acceptance criteria.

Error-Corrected Operations Are Real, While Scale Remains an Engineering Question

[D] Neutral-atom evidence extends beyond a simple memory milestone: the paper published online in November 2025 and appearing in Nature’s January 2026 volume describes reconfigurable arrays of up to 448 atoms, below-threshold behaviour in a four-round characterisation circuit, logical entanglement operations and protocols involving dozens of logical qubits and hundreds of logical teleportations; the demonstrated elements support the feasibility of an architecture, while the experimental scope must remain explicit whenever the result is used to discuss scalable universal processing. A fault-tolerant neutral-atom architecture for universal quantum computation — Nature/NIST — Nov 2025. NIST

[C] The theoretical attraction of quantum low-density parity-check codes is their potential to reduce encoding overhead, but the peer-reviewed bivariate-bicycle work is a code-and-protocol analysis whose benefits depend on the assumed hardware and connectivity, so a favourable encoding rate must not be reported as a fielded processor possessing the complete required gate set, decoding performance and operating reliability. High-threshold and low-overhead fault-tolerant quantum memory — Nature — Mar 2024. Nature

The assessment recommends evaluating fault tolerance through the full execution chain, including state preparation, logical operations, measurement, decoding and the resources consumed by the chosen error-correction architecture, because a result established for one element cannot serve as evidence that all remaining elements have met the same performance standard.

Cryptanalytic Estimates Must Retain Their Complete Assumptions

[C] Gidney’s May 2025 preprint supplies a concrete, architecture-dependent RSA-2048 resource model rather than a demonstrated attack, with the following quantities reported in its logical-cost table and physical-cost analysis. How to factor 2048 bit RSA integers with less than a million noisy qubits — Craig Gidney, arXiv preprint — May 2025. arxiv.org

Resource or assumptionValue in the cited RSA-2048 model
Status[C] Theoretical resource estimate; no complete attack demonstrated on the proposed hardware.
Logical resourcesPhysical-layout analysis allocates 1,537 logical patches including workspace, while the logical-cost table lists 1,399 algorithmic qubits and the layout text discusses 1,409 active logical qubits; these quantities describe different accounting boundaries.
Non-Clifford workloadApproximately 6.5 × 10⁹ expected Toffoli gates per factoring, as reported in Table 5.
Error-correction distanceDistance 25 for ordinary hot-storage surface-code patches; cold storage uses a yoked construction.
Encoding overhead1,352 physical qubits per hot logical patch, approximately 430 per cold logical qubit, with separate computation and factory resources.
Complete physical layout897,864 physical qubits, with additional slack motivating the headline near one million.
Physical noise assumptionUniform depolarising noise strength of 10⁻³.
Timing and connectivity1 μs surface-code cycle, 10 μs control reaction time, and a nearest-neighbour square-grid architecture.
RuntimeApproximately 4.96 days after the stated logical-error adjustment, rounded upward to less than one week.

[C] The assessment must also retain newer architectural alternatives: the March 2026 Cain and co-authors preprint examines high-rate codes, logical instruction sets and reconfigurable atomic hardware in an architecture distinct from the surface-code model above, which makes it relevant to the uncertainty register without permitting a lower headline qubit count to be treated as measured attack capability or as a directly comparable revision of the same machine. Shor’s algorithm is possible with as few as 10,000 reconfigurable atomic qubits — Cain et al., arXiv preprint — Mar 2026. arxiv.org

The decision consequence is to keep cryptanalytic resource estimates under technical review while progressing migration against the institution’s exposure, rather than deriving a single arrival year from estimates that assume different codes, connectivity, clock rates and implementation conditions.

Standards Provide a Migration Basis Without Providing Absolute Assurance

[P/R] NIST selected HQC for standardisation in March 2025 as an alternative mathematical basis to ML-KEM, while its announcement described finalisation in 2027 as an expected future milestone; the selection therefore supplies evidence of diversification in the standards programme, while that announcement alone cannot establish the subsequent completion or deployment status of an HQC standard. NIST Selects HQC as Fifth Algorithm for Post-Quantum Encryption — NIST — Mar 2025. NIST

[P] Symmetric cryptography requires a separate risk assessment: NIST’s FAQ distinguishes the dramatic algorithmic threat to susceptible public-key schemes from Grover-type search, emphasising the sequential operations and parallelisation constraints that limit the practical interpretation of a quadratic speed-up; consequently, this assessment rejects the use of an RSA resource model as evidence of a comparable attack on AES-256. Post-Quantum Cryptography: FAQs — NIST — undated, retrieved Oct 2026. CSRC

The recommended security case should therefore identify the actual primitive, parameter set, protocol and implementation, with confidentiality migration, signature migration and symmetric-key policy receiving separate acceptance tests.

European Coordination Must Preserve National Assurance Differences

[P] Italy’s institutional baseline includes the adoption of its national quantum strategy by the Interministerial Committee for the Digital Transition, recorded in July 2025, which establishes a coordinating framework without itself demonstrating that every strategic objective has an appropriated budget, awarded contract or delivered capability. Tecnologie quantistiche: una Strategia per l’Italia — Dipartimento per la trasformazione digitale — Jul 2025. innovazione.gov.it

[P/R] France’s ANSSI addendum, dated December 2023 and published through its service portal in January 2024, addresses hybridisation and an accelerated assurance agenda, while the stated expectation of initial security visas around 2024–25 remains a historical target unless a product-specific certificate establishes issuance. Avis de l’ANSSI sur la migration vers la cryptographie post-quantique (suivi 2023) — ANSSI — Dec 2023, p. 1. messervices.cyber.gouv.fr

[P/C] Germany’s government response of July 2025 records support for migration and the development of a national roadmap on the basis of the European framework, so the document supports institutional intent and stated policy without establishing completion of the later roadmap or migration outcomes. Aktuelle und zukünftige Sicherheitsrisiken für Bestände an Kryptowährungen durch Quantencomputer und Hackergruppen — Bundesregierung/Deutscher Bundestag, Drucksache 21/928 — Jul 2025, responses on migration. dserver.bundestag.de

The recommended coordination principle is to compare these jurisdictions through equivalent records—operative guidance, certification, expenditure, procurement and implementation evidence—while preserving differences between a national strategy, an assurance position and a sectoral migration timetable.

Key Evidence Table

IndicatorValue/statusReference dateDefinition/scopeIssuerExact source
[P] Standardised key establishmentFIPS 203; ML-KEMAugust 2024Key-encapsulation mechanism; the standard does not establish accreditation of every implementationNISTModule-Lattice-Based Key-Encapsulation Mechanism Standard — NIST — Aug 2024
[P] Standardised digital signaturesFIPS 204; ML-DSAAugust 2024Module-lattice signature mechanismNISTModule-Lattice-Based Digital Signature Standard — NIST — Aug 2024
[P] Alternative standardised signaturesFIPS 205; SLH-DSAAugust 2024Stateless hash-based signature mechanismNISTStateless Hash-Based Digital Signature Standard — NIST — Aug 2024
[R] IBM computing target200 logical qubits; 100 million gates; target availability in 2029June 2025 announcementVendor delivery objective, requiring subsequent hardware and performance evidenceIBMIBM Sets the Course to Build World’s First Large-Scale, Fault-Tolerant Quantum Computer at New IBM Quantum Data Center — IBM — Jun 2025
[P] European transition milestoneInitiation by end-2026; critical infrastructure by end-2030June 2025Coordinated roadmap expectations; national legal implementation must be examined separatelyEuropean Commission/NIS Cooperation GroupEU reinforces its cybersecurity with post-quantum cryptography — European Commission — Jun 2025
[P] UK migration milestonesDiscovery and planning by 2028; priority migration by 2031; completion by 2035March 2025Indicative institutional migration targets, with qualifications in the guidanceNCSCTimelines for migration to post-quantum cryptography — NCSC — Mar 2025

Technical and Institutional Readiness

The following classifications are dossier judgments tied to the cited evidence, rather than numerical scores or a claim that every application within a technology family has reached the same stage.

Application examinedTechnical-readiness judgmentInstitutional-readiness judgmentEvidence boundary
[D] Willow surface-code memoryComponent demonstratedResearch programmeThe experiment establishes protected-memory behaviour; the paper identifies further logical-computation requirements. Quantum error correction below the surface code threshold — Nature — Dec 2024
[D] Neutral-atom logical-processing architectureIntegrated experimental prototypeResearch programmeThe cited work demonstrates architectural elements and bounded protocols rather than an accredited industrial service. A fault-tolerant neutral-atom architecture for universal quantum computation — Nature/NIST — Nov 2025
[P] PQC standards and migrationStandardised mechanisms; deployment readiness requires implementation-specific evidenceGuidance and requirements established in named jurisdictionsAlgorithm approval must remain distinct from product assurance and completed estate migration. Announcing Approval of Three Federal Information Processing Standards (FIPS) for Post-Quantum Cryptography — NIST — Aug 2024
[C/R] UK airborne quantum-navigation activityOfficially reported limited flight trialFunded programme with future deployment objectivePublicly disclosed trial information does not establish a complete operational performance envelope. Un-jammable quantum tech takes flight to boost UK’s resilience against hostile actors — DSIT/UKRI — May 2024

Principal Gaps and Watch Indicators

Assessment-changing gapRequired record or observationDecision threshold
[D] Sustained logical-computation performanceReproducible workload results showing logical operations, complete runtime, error budget and all material overheadsExpand application procurement only when the tested system meets a predeclared workload requirement.
[C] Cryptanalytic resource-model feasibilityArchitecture-specific validation of the assumed codes, connectivity, timing, logical operations and factory or equivalent resource provisionReassess exposure when validated engineering evidence materially changes an end-to-end attack estimate.
[P] Migration completionAsset-level evidence covering protocol, algorithm, parameter set, implementation, assurance and retirement of vulnerable dependenciesReport completion against protected assets and functions rather than the number of plans or products purchased.
[C/R] Navigation mission performanceTrial reports disclosing drift, duration, environmental conditions, external updates, integration and maintenanceMove from experimental evaluation to acquisition only against mission-specific acceptance criteria.
[R] Roadmap deliveryDated hardware delivery and performance evidence corresponding to the stated milestoneRelease later-stage funding against verified achievement rather than elapsed calendar time.

These collection priorities follow the gaps between demonstrated experiments, theoretical estimates and delivery targets identified above; they are proposed evidence requirements, not assertions that the relevant capabilities are absent outside the public record.

Conditional Pathways to 2031

The opening assessment uses alternatives and indicators rather than assigning probabilities, because a common numerical model for hardware progress, industrial scaling and institutional migration has not been established.

PathwayBranch conditionsDecision consequence
Constrained pathwayLarger systems fail to preserve their demonstrated logical performance, or decoding, interconnection and manufacturing prevent sustained workload execution.Continue cryptographic migration and mission-specific sensing evaluation while limiting computing expenditure to measurable research and enabling infrastructure.
Base pathwayProtected logical operations become more reproducible and systems support selected workloads, while remaining short of a validated cryptanalytic architecture.Expand computing pilots through independent comparison with classical methods, retaining separate budgets and acceptance criteria for security migration.
Accelerated pathwayError correction, logical operations, control latency, manufacturing and architecture-specific resource reductions succeed together rather than through isolated milestones.Reassess long-lived information exposure and deployment priorities while demanding complete attack-model evidence before attributing cryptanalytic capability.

[R] IBM’s current roadmap illustrates the need for this conditional treatment, since it explicitly describes its information as intent subject to change and places Starling availability in 2029, while positioning a larger Blue Jay system at 2033 and beyond; the roadmap is a relevant industrial commitment, but it does not establish which branch will occur or demonstrate a cryptographically relevant computer within the dossier’s window. Quantum 2030 — IBM Technology Atlas — updated Mar 2026.

Cryptographic migration follows an institutional timetable

[P] Calendar-year milestones drawn from published guidance. These dates are migration targets rather than forecasts of cryptographically relevant quantum computing.

2028

UK discovery and planning

Define goals, discover cryptographic dependencies and build an initial migration plan.

2030

EU critical infrastructure

Transition critical-infrastructure protection as soon as possible, no later than the end of this year.

2031

UK highest priorities

Complete early, highest-priority migration activities and refine the route to completion.

2035

UK completion target

Complete migration across systems, services and products, subject to the qualifications in the guidance.

Published milestones; unit and scale: calendar year
Jurisdiction Year Scope
United Kingdom2028 Discovery, goals and initial planning
European Union2030 Critical-infrastructure protection
United Kingdom2031 Highest-priority migration activities
United Kingdom2035 Completion target with stated qualifications

Sources: Timelines for migration to post-quantum cryptography — NCSC — March 2025 ; EU reinforces its cybersecurity with post-quantum cryptography — European Commission — June 2025 . Retrieved 4 October 2026.

Interpretation: the jurisdictions and protected-system scopes differ; no probability, hardware capability or binding national obligation is inferred from this comparison.

Open-source analytical assessment · 4 October 2026

Quantum Technologies, 2026–2031

A Separation of Demonstrated Capability, Funded Programme, and Narrative

Decision scheme derived from the opening assessment · Evidence retrieved 4 October 2026 · Civilian and military applications require separate mission evidence.

Controlling judgment: institutions should govern computing experiments, cryptographic migration and sensing acquisition through distinct evidence and acceptance criteria, because progress in one stack does not establish readiness in another.

Read the evidence before the headline

[D] Demonstrated [P] Programme / standard [R] Roadmap [C] Attributed / theoretical claim [H] Category error / unsupported label

Tags describe evidentiary status rather than confidence scores. Recommendations and readiness classifications below are analytical judgments; they are not additional hardware demonstrations.

Three stacks, three acceptance tests

Stack A

Quantum computing

[D] Protected-memory experiments and neutral-atom logical-processing elements establish bounded error-correction results rather than a general industrial or cryptanalytic capability.

Acceptance test: require logical operations, complete runtime, error budget, verification and a named classical comparator.

Quantum error correction below the surface code threshold — Nature — Dec 2024; A fault-tolerant neutral-atom architecture for universal quantum computation — Nature/NIST — Nov 2025.

Stack B

Communications & cryptography

[P] NIST standards establish classical key-encapsulation and signature mechanisms; QKD distributes keying material and introduces a different hardware and assurance boundary.

Acceptance test: identify the primitive, authentication, implementation assurance, relay trust and availability requirement.

Announcing Approval of Three Federal Information Processing Standards (FIPS) for Post-Quantum Cryptography — NIST — Aug 2024; Cryptograph Solutions are Limited Compared to Quantum-Resistant Algorithms — NSA — Oct 2026.

Five findings that change a decision

Actions are assessment recommendations; the final column identifies the supporting evidence.
DecisionActionEvidence and boundary
Assign migration ownershipFund discovery and replacement planning against secrecy lifetimes and infrastructure cycles, rather than awaiting a machine-arrival forecast.[P] G7 Cyber Expert Group Statement on Advancing a Coordinated Roadmap for the Transition to Post-Quantum Cryptography in the Financial Sector: January 2026 — G7/HM Treasury — Jan 2026; planning guidance does not predict a computer’s arrival.
Buy a workload resultCondition computing expenditure on reproducible logical performance and complete execution cost.[D] Quantum error correction below the surface code threshold — Nature — Dec 2024; protected memory is a bounded experimental result.
Separate QKD evaluationRequire a specific threat model and accreditation route before crediting national-security protection.[P] Cryptograph Solutions are Limited Compared to Quantum-Resistant Algorithms — NSA — Oct 2026; the agency maintains conditional rejection for NSS transmission.
Test sensors against missionsAdvance trials toward acquisition only after disclosure of a mission-relevant performance envelope.[C] Un-jammable quantum tech takes flight to boost UK’s resilience against hostile actors — DSIT/UKRI — May 2024; a reported flight trial does not establish fleet readiness.
Fund specific AI bottlenecksMeasure improvements in control and decoding while preserving the physical requirements of error correction.[D] Reinforcement learning control of quantum error correction — Nature — Jul 2026; the reported gain is tied to the tested calibration and decoding conditions.

Technical reality and institutional readiness are separate axes

These classifications apply to the cited result or programme rather than to an entire technology family.

ApplicationTechnical readinessInstitutional readinessEvidence boundary
[D] Willow memoryComponent demonstratedResearch programmeQuantum error correction below the surface code threshold — Nature — Dec 2024; protected memory and further logical-computation challenges.
[D] Neutral-atom architectureIntegrated experimental prototypeResearch programmeA fault-tolerant neutral-atom architecture for universal quantum computation — Nature/NIST — Nov 2025; architectural elements and bounded protocols.
[P] PQC migrationStandardised mechanisms; implementation-specific assurance requiredStandards and jurisdiction-specific guidanceAnnouncing Approval of Three Federal Information Processing Standards (FIPS) for Post-Quantum Cryptography — NIST — Aug 2024; approval of mechanisms does not accredit every product.
[C] UK airborne navigationOfficially reported limited flight trialFunded programme and future objectiveUn-jammable quantum tech takes flight to boost UK’s resilience against hostile actors — DSIT/UKRI — May 2024; no complete public mission-performance envelope in the announcement.

Migration milestones are not machine-arrival predictions

[P] Calendar-year milestones have different jurisdictional scopes and are guidance or roadmap expectations rather than a single universal legal deadline.

2028

UK · Discover and plan

Define goals, discover cryptographic dependencies and prepare the initial migration plan.

2030

EU · Critical infrastructure

Transition protection as soon as possible, no later than the end of the year.

2031

UK · Highest priorities

Complete early, highest-priority migration activities and refine the completion roadmap.

2035

UK · Completion target

Complete migration across systems, services and products, with the guidance’s stated qualifications.

Timelines for migration to post-quantum cryptography — NCSC — Mar 2025; EU reinforces its cybersecurity with post-quantum cryptography — European Commission — Jun 2025. Unit: calendar year; categories: jurisdiction-specific milestones; no capability probability is implied.

A cryptanalytic estimate is an architecture, not a qubit headline

[C] The May 2025 RSA-2048 model below is a theoretical preprint estimate whose resource counts depend on the stated error model, code construction, timing and connectivity.

Gidney’s RSA-2048 estimate · Table 5 and physical-cost analysis · May 2025 preprint
ResourceModel valueInterpretation
Logical layout1,537 patches including workspaceAccounting differs from Table 5’s 1,399 algorithmic qubits and the layout text’s 1,409 active logical qubits.
Toffoli workload6.5 × 109Expected gates per factoring, as reported in Table 5.
Code distance25 for ordinary hot patchesCold storage uses a yoked construction.
Physical overhead1,352 per hot patch; approximately 430 per cold logical qubitAdditional computation and factory resources are included separately in the complete layout.
Physical layout897,864 qubitsThe headline near one million includes slack.
Noise and timing10−3 depolarising noise; 1 μs code cycle; 10 μs control reactionNearest-neighbour square-grid architecture assumed.
Estimated runtimeApproximately 4.96 daysAfter the stated logical-error adjustment; rounded upward to less than one week.

How to factor 2048 bit RSA integers with less than a million noisy qubits — Craig Gidney, arXiv preprint — May 2025.

[C] The 2026 neutral-atom alternative uses different architectural assumptions and must receive its own complete resource audit before comparison; neither estimate demonstrates a working attack. Shor’s algorithm is possible with as few as 10,000 reconfigurable atomic qubits — Cain et al., arXiv preprint — Mar 2026.

Three conditional pathways through 2031

Analytical alternatives from the opening assessment; no probabilities, invented readiness scores or annual qubit forecasts are assigned.

Constrained

Branch: larger systems fail to retain demonstrated logical performance, or decoding, manufacturing and interconnection constrain sustained execution.

Decision: continue migration and mission-specific sensor evaluation; limit computing procurement to measurable research and enabling infrastructure.

Base

Branch: reproducible protected operations support selected workloads while remaining short of a validated cryptanalytic architecture.

Decision: expand computing pilots through independent classical comparison and retain separate security-migration acceptance criteria.

Accelerated

Branch: error correction, logical operations, control latency, manufacturing and architecture-specific resource reductions succeed together.

Decision: reassess long-lived information exposure and require complete attack-model evidence before attributing cryptanalytic capability.

[R] IBM’s 2029 Starling target remains intent subject to change; Quantum 2030 — IBM Technology Atlas — updated Mar 2026. [D] AI control evidence is bounded by its experiment; Reinforcement learning control of quantum error correction — Nature — Jul 2026.

European coordination preserves national assurance boundaries

JurisdictionVerified institutional baselineBoundary
Italy[P] Strategy adoption recorded in July 2025. Tecnologie quantistiche: una Strategia per l’Italia — DTD — Jul 2025.A coordinating framework does not establish every appropriation, contract or delivered objective.
France[P] ANSSI’s December 2023 addendum addresses hybrid migration. Avis de l’ANSSI sur la migration vers la cryptographie post-quantique (suivi 2023) — ANSSI — Dec 2023.Historical expectations for security visas require product-specific issuance evidence.
Germany[P] Government response records migration policy and national-roadmap development. Aktuelle und zukünftige Sicherheitsrisiken für Bestände an Kryptowährungen durch Quantencomputer und Hackergruppen — Bundestag, Drucksache 21/928 — Jul 2025.The response does not establish later roadmap completion or estate-level migration.
United Kingdom[P] Published staged migration targets. Timelines for migration to post-quantum cryptography — NCSC — Mar 2025.Discovery, priority migration and completion describe separate tasks.

The dossier’s three thematic pillars

The eleven requested sections remain within exactly three pillars; expand each pillar to inspect its chapter coverage.

Pillar I — Mechanisms, Hardware and Computational EvidenceChapters 1–4
  • Chapter 1 — Executive Adjudication: five ministerial findings, supporting evidence and decision consequences.
  • Chapter 2 — The Taxonomy: mechanisms, misleading phrases, three stacks and the two readiness axes.
  • Chapter 3 — Quantum Computing: Hardware Truth: superconducting, trapped-ion, neutral-atom, photonic, silicon-spin and topological platforms; logical resources, fidelity, error correction and supply chains.
  • Chapter 4 — What Quantum Computers Can and Cannot Do in 2026: chemistry, materials, optimisation, sampling, factoring and discrete logarithms against problem size and complete resources.
Pillar II — Security Migration and Operational ApplicationsChapters 5–7
  • Chapter 5 — Cryptography: QKD, direct communication, networks, PQC, symmetric cryptography, retention exposure and migration requirements.
  • Chapter 6 — Civilian Uses That Are Real: named deployments, pilots, standards and bounded experiments in finance, telecom, pharma, energy, metrology and civil PNT.
  • Chapter 7 — Military and Intelligence Uses That Are Real: mission-specific sensing, timing, communications, migration and experimental networks, supported by trials, contracts or doctrine.
Pillar III — Industrial Power, Conditional Outlook and DecisionsChapters 8–11
  • Chapter 8 — The Industrial and Geopolitical Layer: US, China, EU, UK, Japan, India, Israel, Australia and Canada, with Italian, French and German lenses.
  • Chapter 9 — Five-Year Outlook Under AI Acceleration: constrained, base and accelerated scenarios for 2026–27, 2028–29 and 2030–31.
  • Chapter 10 — Implications for Decision-Makers: application-level action matrix for government, defence, critical infrastructure and enterprise.
  • Chapter 11 — Annexes: glossary, forbidden synonyms, source register, ten claim corrections and uncertainty register.

Evidence that would change the assessment

Collection priorities and proposed decision thresholds; no absence of capability is inferred from a missing public record.
GapRequired observationDecision threshold
Sustained logical computationReproducible workload results, error budgets, complete runtime and overheads.Expand procurement when a predeclared workload requirement is met.
Cryptanalytic feasibilityValidation of code, timing, connectivity, logical operations and resource provision.Reassess exposure when engineering evidence changes an end-to-end estimate.
Migration completionAsset-level protocol, parameter, implementation and assurance evidence.Measure protected functions rather than purchased products or written plans.
Navigation performanceDisclosed drift, duration, environment, updates, integration and maintenance.Move toward acquisition against mission-specific acceptance criteria.
Roadmap deliveryDated delivery and performance evidence corresponding to the milestone.Release later funding against verified achievement.

Scope: the opening assessment’s verified evidence and analytical recommendations, rather than a claim that the later eleven chapters have already been completed. All links retain their source titles and dates, with retrieval on 4 October 2026. This component uses no external assets, data requests, scripts, probability scores or invented readiness metrics.


Pillar 0 — Quantum Technologies Explained for Political Leaders and Nontechnical Readers

What Works Today, What Still Prevents Wider Use, and What Governments Should Prepare for by 2031

Scope and Method

This opening pillar explains the findings of the report without requiring the reader to understand advanced physics, mathematics or computer engineering. Its purpose is to make the political choices understandable: what deserves immediate implementation, what deserves controlled experimentation, what requires patient research, and what should not be presented to the public as an existing capability.

It introduces the meaning of the technical chapters rather than reproducing their complete inventories of machines, national budgets or cryptographic resource estimates. Where a number is necessary to understand the situation, its source and limitations are stated.

The evidence labels used throughout the report retain their original meaning:

LabelMeaning in plain EnglishHow the reader should interpret it
[D] DemonstratedA result supported by a scientific experiment or independently reproduced technical evidenceSomething worked under the stated conditions; wider usefulness still needs to be assessed
[P] ProgrammeA standard, funded programme, contract or formal requirement existsAn institution has authorised or organised work; this does not establish a completed operational service
[R] RoadmapA future target or conditional technical estimateSomething may become possible if the necessary milestones are achieved
[C] ClaimA company or public authority reports a result without sufficient independent technical evidence in the cited recordThe statement has an identifiable source, but its claimed performance remains to be independently established
[H] HypeA misleading label, unsupported generalisation or confusion between different technologiesThe statement should not guide procurement or public policy in its present form

Definitions, teaching examples and proposed policy controls are identified as explanation, illustration or analytical recommendation. They do not claim that a particular product has achieved a particular performance.

All sources linked in this pillar were retrieved on 4 October 2026. Publication dates and future target dates are distinguished throughout.

0.1 — The Situation in Plain English

The principal political difficulty is that the word “quantum” is used for several different technologies, each with a different state of development. An announcement about a computer, a communications link or a precision clock may sound like evidence of the same technological revolution, although it concerns a different practical problem and a different level of readiness.

The evidence reviewed in this report supports an uneven picture. [P] New standards for protecting information against future quantum attacks already exist. [D] Scientists have demonstrated important improvements in the reliability of quantum information stored in experimental processors. [D] Certain quantum measurement instruments have been tested outside the laboratory. [R] Large, dependable quantum computers capable of carrying out demanding applications remain the subject of future engineering targets. These findings come from different bodies of evidence and should lead to different public decisions. Sources: NIST standards announcement, quantum error-correction experiment, airborne gravity measurements and IBM hardware roadmap. NIST

For a political reader, the essential distinction is between an instrument that can perform a defined task, an experiment that establishes a scientific result, and a future system expected to transform an industry. Each may justify public attention, but each requires a different explanation of what the expenditure will buy.

The present situation at a glance

AreaEvidence-based positionPractical interpretation for a political reader
Protection of digital information[P] NIST finalised ML-KEM, ML-DSA and SLH-DSA standards on 13 August 2024Organisations can begin adopting new cryptographic methods without owning a quantum computer
Quantum computing reliability[D] Published experiments show that carefully organised groups of physical qubits can preserve quantum information more reliably than individual componentsA necessary engineering step has been demonstrated; a complete industrial service requires much more
Large quantum computing systems[R] Public roadmaps specify future targets for reliable calculationsA target date should be treated as a milestone to verify, rather than as a guaranteed delivery date
Quantum communications[P] Security authorities distinguish special quantum links from software-based protection and identify substantial deployment limitationsA secure communications proposal must explain its actual mechanism and the systems it leaves exposed
New quantum measurement instruments[D] Some instruments have produced results in real surveys and field experimentsSuitability should be assessed application by application, including cost, maintenance and comparison with existing equipment
New defence timing applications[C] Named military authorities report trials with specified equipmentA reported trial supports further evaluation; it does not establish fleet-wide deployment or complete mission independence

Sources: NIST, Nature: error correction, IBM, NSA: quantum key distribution, Earth System Science Data: airborne gravimetry and Royal Navy: August 2026 clock trials. NIST

Analytical judgment. A government should therefore manage quantum technologies as several connected policy responsibilities, with separate delivery tests. A national strategy can bring these responsibilities together, but a single promotional label should never replace an assessment of whether a particular capability works.

Why Post-Quantum Cryptography Works on Ordinary Computers and Does Not Demonstrate the Maturity of Quantum Computing

SectionSubject
The central distinctionWhat post-quantum cryptography actually is
How the name creates confusionWhy “post-quantum” describes a security objective
What happens inside the systemOrdinary computers performing different mathematics
What successful implementation provesSecurity progress and its evidentiary limits
Why preparation precedes the threatThe separate timelines of protection and computing
Why quantum communications are differentDistinguishing mathematical protection from quantum equipment
The political consequencesAccurate procurement, budgets and public communication
Key judgments and open recordWhat should be verified before making a capability claim

The Central Distinction

Post-quantum cryptography is cryptography that ordinary computers can perform, designed to resist attacks from both conventional computers and sufficiently powerful future quantum computers. Its successful implementation demonstrates that a particular security mechanism can operate; it does not demonstrate that a quantum computer performed that operation or that quantum computing has reached industrial maturity. [P] NIST’s National Cybersecurity Center of Excellence explicitly describes standards intended to work with current classical computers while resisting future quantum machines. Source: Migration to Post-Quantum Cryptography — NIST NCCoE — maintained programme resource. NCCoE

The misunderstanding arises when the name of the anticipated threat is mistaken for the operating mechanism of the protection. A reader hears that a bank, ministry or telecommunications provider has adopted “post-quantum security” and concludes that the institution is already using quantum computing to secure its information. That conclusion does not follow from the announcement, because a post-quantum implementation can carry out its cryptographic work entirely through conventional digital processing.

The distinction is particularly important when assessing claims that “quantum technology is already working”. That expression needs an identified subject: a computing experiment, a measurement instrument, a communications device or a cryptographic implementation. Evidence for one cannot automatically establish the performance of another, and the adoption of post-quantum cryptography cannot be counted as evidence that a quantum processor has completed a useful calculation.

Analytical judgment. The legitimate achievement is the development and implementation of protection against a class of anticipated attacks. Describing that achievement precisely preserves its value while preventing it from becoming evidence for an unrelated technological claim.

How the Name Creates Confusion

“Post-quantum” describes the intended resistance

[P] In NIST’s explanation, post-quantum cryptographic methods are selected around mathematical problems believed to remain difficult for conventional and quantum attackers. The term therefore concerns the protection sought against an attacker’s capabilities, rather than a requirement that the legitimate user operate a quantum computer. Source: What Is Post-Quantum Cryptography? — NIST — official explanatory resource. NIST

Explanation. A useful analogy is a fire-resistant door: the description identifies a hazard against which the door is designed to provide protection, rather than something the door uses to function. In the same way, the word “quantum” in “post-quantum cryptography” identifies an attacker considered in the security design; it does not identify the machinery required to perform the protective calculation.

The prefix “post” can create a second misunderstanding by suggesting that the technology belongs to a period after powerful quantum computers have already arrived. That interpretation is also unnecessary. A protective method can be developed, standardised and implemented before the threat against which it is designed becomes operational.

Analytical implication. A political briefing should therefore explain the term as “cryptography designed to resist future quantum attacks” before discussing implementation. This wording gives the reader the relevant security objective without implying that the organisation owns quantum hardware.

The adjective does not certify the complete system

A supplier’s description of a product as “post-quantum” also leaves a further question unanswered: which functions have actually been changed? The label alone cannot establish that every connection, identity mechanism, certificate, software update and supporting device has been assessed.

[P] The NCCoE’s migration documentation distinguishes cryptographic discovery from interoperability testing, reflecting the need to understand where protection is used and whether updated components work together. Source: Frequently Asked Questions about Post-Quantum Cryptography — NIST NCCoE — migration documentation. nccoe.nist.gov

Analytical recommendation. The institution should state the scope of its implementation in operational terms, identifying the services covered and the dependencies that remain. An accurate limited claim provides more useful assurance than an expansive label whose coverage cannot be verified.

What Happens Inside the System

Ordinary processing carries out the protective mathematics

Explanation. In a conventional implementation, the legitimate computers execute instructions that generate cryptographic material, establish keys or produce and verify signatures. The calculations use ordinary digital processing; the change concerns the mathematical construction and its implementation within the security system.

[P] NSA makes the mechanism explicit by distinguishing quantum-resistant algorithms implemented on existing platforms from QKD equipment that uses quantum physical signals. For the algorithmic approach, security rests on the difficulty of the relevant mathematical problems. Source: Quantum Key Distribution and Quantum Cryptography — NSA — official agency position. nsa.gov

Consequently, an organisation does not need a quantum processor merely to perform a post-quantum cryptographic operation. It may need updated software, compatible protocols, suitable conventional hardware or replacement products, but those implementation requirements should be identified separately from the engineering requirements of a quantum computer.

The importance of this distinction should not make migration sound effortless. Ordinary computing can still face difficult changes involving performance, compatibility, long-lived equipment and coordinated replacement. The fact that the mechanism is conventional tells the reader what kind of technology is involved; it does not guarantee that every existing product can support it without modification.

Different standards perform different security functions

[P] NIST finalised three initial post-quantum standards on 13 August 2024, providing concrete mechanisms for key establishment and digital signatures. Their publication establishes the standards, while the security and suitability of a particular implementation require their own assessment. Source: NIST Releases First 3 Finalized Post-Quantum Encryption Standards — NIST — Aug 2024. NIST

Standardised mechanismPlain-English functionWhat its use establishesWhat it does not establish
[P] ML-KEMHelps two systems establish shared secret key materialImplementation of a specified key-establishment methodThat a quantum computer generated the key
[P] ML-DSAProduces and verifies digital signaturesImplementation of a specified signature methodThat quantum processing authenticated the document
[P] SLH-DSAProvides a signature method based on hash constructionsImplementation of another specified signature approachThat the protected service operates through quantum hardware

Sources: FIPS 203, Module-Lattice-Based Key-Encapsulation Mechanism Standard — NIST — Aug 2024, FIPS 204, Module-Lattice-Based Digital Signature Standard — NIST — Aug 2024 and FIPS 205, Stateless Hash-Based Digital Signature Standard — NIST — Aug 2024. CSRC

[P] FIPS 203 describes ML-KEM as a mechanism for establishing a shared secret over a public channel and characterises its security in terms of a mathematical problem believed to be difficult even for quantum computers. This is a security assumption supporting a defined construction, rather than a claim of absolute immunity from every conceivable attack. Source: FIPS 203 — NIST — Aug 2024. CSRC

Analytical implication. Political communication should preserve that qualification. “Designed to resist quantum attacks using a specified standard” identifies an assessable protection objective; “unbreakable quantum security” converts it into a much broader assertion.

What Successful Implementation Proves

A security result has its own evidentiary meaning

Illustration — hypothetical institution. Suppose a ministry updates a communications service and demonstrates that the new key-establishment method works between its approved systems. The test produces relevant evidence about that implementation: the systems can negotiate the specified method and carry out the tested operation.

The same test does not show that the ministry owns a quantum computer, that a quantum processor has overcome its physical error problems or that a future attacker can execute a cryptographic attack. Those propositions concern different equipment and different experiments.

This distinction is logical rather than rhetorical: evidence that a defence operates cannot, by itself, establish the operational maturity of the technology against which it was designed. The protective system and the potential attacking system have separate development requirements.

Quantum computing requires evidence from quantum computing

[D] A Willow experiment first published in December 2024 demonstrated protected quantum memory using a defined superconducting processor arrangement. That evidence concerns physical quantum information and error correction, giving it a different evidentiary meaning from the implementation of a cryptographic algorithm on conventional systems. Source: Quantum error correction below the surface code threshold — Nature — Dec 2024; corrected Apr 2026. Nature

Analytical judgment. A report assessing computing maturity must examine such hardware results against their actual function and limits. A report assessing security migration must examine coverage, interoperability and implementation assurance. Combining the two into a single count of “quantum deployments” would obscure what each result demonstrates.

This correction should also avoid the opposite overstatement. Establishing that post-quantum cryptography uses conventional processing does not show that every quantum technology is unusable or that quantum computing research has produced no results. It establishes a narrower and essential point: post-quantum cryptography is not the evidence needed to substantiate a quantum computing capability claim.

Why Preparation Precedes the Threat

Future resistance can have present value

[P] NIST identifies the possibility of an adversary retaining encrypted information for later exploitation, commonly called “harvest now, decrypt later”. This concern is relevant where information remains sensitive over a long period, even though collecting it does not establish the collector’s present ability to decrypt it through quantum computing. Source: What Is Post-Quantum Cryptography? — NIST — official explanatory resource. NIST

Explanation. An institution therefore has to consider the lifetime of its information alongside the time required to change its systems. The practical question is whether protection can be improved before valuable information is exposed to a future capability, rather than whether a precise arrival date can already be stated.

[P] NCSC treats migration as a substantial organisational change involving discovery, planning, prioritisation, suppliers and continuity. Its guidance reflects the burden of changing a large digital environment, rather than a requirement to acquire a quantum computer. Source: Timelines for migration to post-quantum cryptography — NCSC — Mar 2025. National Cyber Security Centre

Analytical judgment. Early preparation is consequently compatible with uncertainty about quantum computing. A government can justify a security transition because information is long-lived and replacement is slow, while continuing to describe future attacking capability as conditional.

Adoption cannot establish an arrival date

[H] Inferring that an encryption-threatening quantum computer already exists because institutions are adopting post-quantum cryptography reverses the logic of precautionary preparation. The adoption concerns a protection decision, while the existence and performance of an attacking machine require direct evidence.

The opposite inference is equally unsound: the ability to deploy post-quantum cryptography does not establish that all relevant systems have been protected or that every future security risk has been removed. The implementation’s scope remains a separate question, and a completed operation in one service cannot establish coverage across an entire ministry, bank or industrial network.

Why Quantum Communications Are Different

Mathematical resistance and quantum signals are separate mechanisms

[P] QKD uses special-purpose technology and quantum physical signals to generate and distribute key material. NSA’s published discussion separates this mechanism from quantum-resistant algorithms and identifies further requirements involving authentication, equipment, relay trust and implementation security. Source: Quantum Key Distribution and Quantum Cryptography — NSA — official agency position. nsa.gov

Explanation. The distinction can be expressed through the legitimate user’s activity. In post-quantum cryptography, conventional systems perform cryptographic calculations designed around resistance to quantum attacks. In QKD, specialised equipment uses quantum signals for a key-distribution function. Both belong in a discussion of future information protection, but their mechanisms and deployment requirements differ.

Analytical recommendation. When a supplier uses expressions such as “quantum protection” or “quantum-safe communications”, the authority should require it to identify whether the proposal uses post-quantum algorithms, QKD, both, or another specified mechanism. Without that answer, the institution cannot explain accurately what it is buying.

The Political Consequences

Classify the expenditure according to the capability purchased

Analytical recommendation. A programme implementing post-quantum cryptography should be evaluated as a security transition, with success measured through protected functions, verified coverage, compatibility and maintained service. Its association with a quantum-related threat does not justify reporting its expenditure as the acquisition of quantum computing capacity.

Conversely, a quantum computing programme should be evaluated through the performance of its quantum equipment, the calculations it can execute and the conditions under which it delivers useful results. A shared strategic umbrella can coordinate the programmes, but their acceptance criteria must remain distinct.

Failure to preserve this distinction would allow a government to report progress in a category that its expenditure did not actually deliver. It could also mislead legislators into believing that a successful security upgrade has resolved the separate engineering difficulties of quantum computing.

Report what the institution has actually accomplished

Analytical recommendation. A defensible announcement would state that an institution has implemented a specified post-quantum mechanism in identified services, explain the coverage of the change and describe the remaining work. If the deployment uses conventional processing, that fact should be made explicit when there is a risk of confusion.

The question “Which quantum computer performs this protection?” should therefore receive a mechanism-based answer: the post-quantum cryptographic operation does not require one. If the overall product includes some additional quantum component, that component must be identified and assessed independently; its presence cannot be inferred from the name of the algorithm.

For nontechnical audiences, the clearest replacement for the potentially ambiguous definition is:

Post-quantum cryptography: cryptographic methods performed by ordinary computers and designed to resist attacks from conventional computers and future quantum computers; implementing these methods does not demonstrate the maturity of quantum computing.

Key Judgments

Analytical judgments. The first judgment is that post-quantum cryptography should be understood through its operating mechanism: conventional digital processing performs the protective mathematics. The second is that its implementation provides evidence about a security deployment, whose scope and correctness still require verification. The third is that this evidence cannot establish the performance or arrival date of a powerful quantum computer.

These judgments support action rather than postponement. An institution can pursue a justified security transition while demanding separate evidence for quantum computing claims, preserving both the urgency of information protection and the integrity of its technology assessment.

What Would Change the Assessment?

Analytical review criterion. The classification of a particular product would change if its technical documentation established an additional quantum operating mechanism, but that would be a finding about the specified product or component. It would not change the meaning of post-quantum cryptography or make a quantum processor necessary for performing the standardised algorithms.

A broader computing judgment would require direct evidence about the relevant quantum system, while a stronger security judgment would require verified deployment coverage and implementation assurance.

Open Official Record

The record needed to substantiate an institutional claim includes the algorithm and protocol used, the services covered, the implementation tests, the acceptance authority and the unresolved dependencies. A product label, purchase announcement or national programme title cannot supply those details on its own.

Final analytical assessment. Post-quantum cryptography is a concrete means of preparing ordinary digital systems for a potential quantum threat; recognising its conventional operating mechanism allows political leaders to value the security achievement accurately, without presenting it as proof that the separate engineering challenge of powerful quantum computing has been completed.

0.2 — The Different Technologies Hidden Behind the Word “Quantum”

A simple map

TechnologyPlain-English explanationThe question it is intended to answer
Quantum computingA different way of carrying out certain calculations using carefully controlled physical systemsCan a particular difficult calculation be performed better than with existing computers?
Post-quantum cryptographyNew mathematical methods for protecting information, implemented on ordinary digital systemsCan information remain protected if a powerful quantum computer becomes available to an attacker?
Quantum key distribution, or QKDSpecial equipment that uses quantum signals to help two parties establish secret key materialCan a particular communications link obtain keys under an explicitly defined security arrangement?
Quantum networkingEquipment designed to connect systems that store or process quantum informationCan quantum information or shared quantum states be distributed reliably between locations?
Quantum sensingInstruments that use controlled physical effects to measure quantities such as gravity or magnetic fieldsCan a measurement become more useful, accurate or dependable for a specific task?
Atomic timingClocks that use the stable behaviour of atoms as their referenceCan systems maintain the timing accuracy they need?

Explanation. These definitions identify mechanisms, not product maturity. A clock, a computer and a communications link can all involve quantum physics while performing entirely different functions.

The distinction matters because policy language often moves too quickly from a scientific term to a promised public benefit. “Quantum-safe” may refer to software using post-quantum cryptography. “Quantum communication” may refer to special optical equipment. “Quantum navigation” may refer to a clock, a motion sensor or an experimental combination of several instruments. A proposal that does not identify the mechanism cannot be assessed properly.

How to translate a headline into a useful question

Headline or phraseThe question a nontechnical decision-maker should ask
“The country has acquired a quantum computer”What calculations can it complete, with what reliability, and who will use the results?
“The network is quantum-safe”Which cryptographic methods protect its connections, identities and software updates?
“The link cannot be hacked”What happens if an endpoint, administrator, relay or software component is compromised?
“The ship has quantum navigation”Does the equipment provide time, position, motion measurements or a complete navigation solution?
“Quantum technology will accelerate drug discovery”Which stage of discovery has been tested, at what scale, against which existing method?
“AI has solved the quantum problem”Which measured engineering problem improved, and which physical obstacles remain?
“A national quantum programme is operational”Is this a research programme, an installed prototype, an accepted service or a maintained deployment?

Analytical recommendation. Public communications should name the function before using the label. “A clock tested for maintaining timing during a satellite-signal disruption” gives a minister substantially more information than “a breakthrough in quantum defence”.

0.3 — Quantum Computers: Why They Matter and Why They Remain Difficult to Use

What a quantum computer is expected to contribute

Explanation. A quantum computer uses physical behaviour that ordinary digital computers do not use in the same way. Its potential value depends on designing a suitable calculation around that behaviour.

[H] The description that a quantum computer simply tries every answer and then reads out the correct one is misleading. NIST explains that the information available from the final measurement is limited; useful algorithms must arrange the calculation so that the measurement reveals something valuable. Source: NIST, Quantum Computing Explained. NIST

For a political reader, the consequence is straightforward: a new type of computer does not automatically improve every public service. A ministry should ask whether its specific problem has an appropriate algorithm, whether the available machine can execute it reliably, and whether the result improves on the best existing approach.

Why the number of qubits can mislead

Explanation. A physical qubit is a physical component used to hold or process quantum information. A logical qubit is a protected unit of information constructed using an error-correction arrangement. Several physical components may be required to support one protected unit.

An analogy is a public record stored with checks and recovery procedures. Counting the individual storage elements tells us something about the equipment, but it does not tell us whether the record can survive errors or remain usable throughout a long task.

[D] A study first published on 9 December 2024 reported a protected quantum memory on Google’s Willow processors. One arrangement used 101 physical qubits and achieved an error rate of approximately 0.143% per error-correction cycle. Increasing the protection improved reliability under the tested conditions. The demonstrated function was protected memory, which should not be described as an entire industrial computer completing arbitrary long applications. Source: Nature, Quantum error correction below the surface code threshold. Nature

What must be solved before a demanding calculation becomes dependable

ProblemPlain-English meaningWhy it matters to a user
Errors in the physical componentsThe equipment does not always perform exactly as intendedIncorrect operations can undermine the answer
Loss of stored quantum informationThe useful state changes or becomes disturbed before the task finishesA long calculation needs information to survive
Error correctionThe system must repeatedly detect and manage faultsProtection has to work throughout the calculation
Protected operationsReliable information must also be processed reliablyPreserving a record is different from carrying out a long sequence of correct changes
Control and feedbackOrdinary electronics and software must direct the quantum equipmentThe supporting system must respond within the required time
Manufacturing consistencyMany components must meet demanding specificationsA good experimental device does not establish reliable production
Operational stabilityPerformance must remain acceptable over extended periodsUsers need repeatable service, rather than an occasional successful run
Application performanceThe complete workflow must produce a useful resultA scientific milestone may not yet improve a business or public task

Explanation. This table describes the questions that must be answered. It does not assign the same obstacle or the same cost to every hardware design.

[D] Research published in November 2025 established limits on noisy quantum calculations under specified mathematical models of errors. Its conclusions reinforce the importance of reliability, while its assumptions prevent it from being treated as proof that every near-term quantum application is impossible. Source: npj Quantum Information, Limitations of noisy quantum devices in computing and entangling power. npj Quantum Information

What “usable now” should mean

Analytical recommendation. Ministers should require suppliers and research bodies to distinguish four statements:

StatementWhat it establishesWhat remains to be demonstrated
“Researchers can access the machine”Access to equipment existsWhether it improves a particular task
“The machine completed an experiment”A specified experiment ranWhether the result is useful and repeatable
“The result exceeded a stated comparison”An advantage was reported against that comparisonWhether the comparison remains competitive and the full cost is favourable
“The service improves our operation”A user-facing benefit has been establishedWhether it remains dependable as workload and deployment increase

Analytical judgment. Quantum computing can be worth using for research and carefully designed trials before it becomes a dependable tool for a demanding production task. Public policy should recognise both possibilities and require an honest description of which one public money is purchasing.

0.4 — Protecting Information: Why Action Is Necessary Before the Future Computer Arrives

The two different security clocks

[P] NIST’s explanation of post-quantum cryptography identifies a present planning problem: an adversary can retain protected communications in the hope that future computing capabilities will make some of them readable. This is called “harvest now, decrypt later”. It does not establish that the adversary currently possesses a computer capable of performing the future attack. Source: NIST, What Is Post-Quantum Cryptography?. NIST

Explanation. There are two separate clocks:

ClockWhat it measuresWhy a government should care
The secrecy clockHow long information must remain confidentialSome material could still cause damage many years after collection
The migration clockHow long an organisation needs to replace vulnerable protectionDiscovery, procurement, testing and replacement may take several budget cycles

Illustration — hypothetical dates, not a forecast. Suppose information created in 2026 must remain confidential for fifteen years. Its protection matters until 2041. If the institution needs several years to upgrade its systems, beginning only after an attack-capable computer is publicly demonstrated could leave a long period of avoidable exposure.

The political decision therefore concerns the lifetime of the information and the time needed to improve its protection. It cannot sensibly be reduced to a confident prediction of the year in which a future computer will arrive.

What can be implemented without a quantum computer

[P] Post-quantum cryptography consists of mathematical methods intended for ordinary computing platforms. NIST’s final standards include ML-KEM, which helps establish shared secret keys, and ML-DSA and SLH-DSA, which provide digital signatures. Their existence gives organisations a concrete basis for implementation work. Sources: FIPS 203, FIPS 204 and FIPS 205. CSRC

Security functionPlain-English purposeWhat the implementation programme should verify
Establishing secret keysAllow legitimate systems to agree on secret material used to protect a connectionCompatible implementations, correct configuration and acceptable performance
Digital signaturesAllow a system to verify the origin and integrity of a message, document or software updateThe complete chain of trust, including certificates, signing equipment and verification software
Replacing older methodsRemove vulnerable dependencies from the serviceWhether every relevant connection and component has actually been addressed
Keeping future replacement possibleAvoid making the next change unnecessarily difficultWhether contracts and system designs allow cryptographic methods to be updated

Analytical recommendation. A standard should be treated as the beginning of an implementation programme. An organisation must still verify that its products, operating procedures and suppliers use the standard correctly.

Why migration is a public-management problem

[P] The UK National Cyber Security Centre’s guidance sets milestones for discovery and planning by 2028, highest-priority migration work by 2031, and completion by 2035. These are migration targets within the guidance, rather than predictions of when an attacker will obtain a powerful quantum computer. Source: NCSC, Timelines for migration to post-quantum cryptography. National Cyber Security Centre

Analytical recommendation. A political authority should require a programme that answers the following questions:

Management questionRequired answer
What information is most valuable over time?A prioritised list with an identified owner
Which services depend on vulnerable cryptographic methods?A documented assessment covering relevant systems and suppliers
Which equipment can be updated?A tested upgrade path
Which equipment must be replaced?A funded replacement plan
What happens during the transition?A continuity plan and tested recovery arrangements
Who verifies completion?A named authority responsible for acceptance
How are exceptions handled?A recorded risk decision with a review date

The threat should remain specific

[H] “A quantum computer will break all encryption” is an inaccurate generalisation. NIST distinguishes the implications for public-key systems from those for symmetric methods and notes the substantial practical complications in applying quantum search attacks. Source: NIST post-quantum cryptography FAQs. CSRC

Analytical judgment. The appropriate response is a targeted security transition. A dramatic claim about the collapse of every form of encryption can obscure the actual systems that require attention.

0.5 — Quantum Communications: What They Protect and What They Leave Exposed

Understanding quantum key distribution

Explanation. A QKD system uses special physical equipment to help establish secret key material between locations. The resulting keys can be used within a communications security system. This function should be described separately from the protection of computers, users, software and buildings.

[P] NSA’s published position identifies limitations involving authentication, dedicated equipment, trusted relays, implementation security and denial of service. It states: “NSA does not recommend the usage of quantum key distribution and quantum cryptography” for the national-security systems discussed unless the stated limitations are overcome. Source: NSA, Quantum Key Distribution and Quantum Cryptography. nsa.gov

Questions that remain after a quantum link is installed

QuestionWhy it still matters
Are the communicating parties correctly identified?A security system must establish who is entitled to participate
Are the endpoints protected?Information can be exposed before protection is applied or after it is removed
Are intermediate locations trusted?Some network designs place sensitive responsibilities in relay sites
Can the equipment be maintained and updated?Security must survive faults, changes and newly discovered weaknesses
Can the link be interrupted?Detecting interference does not guarantee that communication remains available
Does the whole system meet the required security standard?A strong component cannot establish the security of every connected component

Analytical recommendation. QKD procurement should be justified by a clearly defined need, an explicit trust arrangement and a comparison with alternatives. The decision-maker should receive an explanation of what additional protection is obtained and what operational burden is created.

A quantum network is a different proposition

[D] A paper published in May 2024 demonstrated shared quantum states between experimental memory systems using 35 kilometres of deployed telecommunications fibre. The fibre route was a metropolitan loop; its length should not be presented as the straight-line separation between distant operational users. The result established a networking experiment, rather than a general replacement for ordinary internet services. Source: Nature, Entanglement of nanophotonic quantum memory nodes in a telecom network. Nature

Analytical judgment. Such results can justify research into future networks. They do not, by themselves, justify promising a population that a nationwide “quantum internet” is available or necessary for every public service.

0.6 — Quantum Sensors and Clocks: Where Practical Use Is Further Advanced

Why measuring is a different challenge from computing

Explanation. A sensor measures a physical quantity. A clock provides a timing reference. Neither must necessarily perform the long, complex sequence of protected calculations required by a large quantum computing application.

This distinction explains why a useful measurement instrument can emerge while a much more demanding computing system remains under development. Nevertheless, each instrument still needs to demonstrate that it can perform its intended task under the conditions in which users will operate it.

Established atomic timing and newer instruments should be separated

[D] Germany’s national metrology institute, PTB, operates primary atomic clocks to realise the official unit of time. Its explanation describes the atomic basis of the second and the clocks used for this public measurement responsibility. This is an established metrology function, which should be assessed separately from the readiness of newer compact or mobile instruments. Source: PTB, Realisation of the SI second. PTB.de

What named experiments actually establish

ApplicationEvidenceWhat a nontechnical reader should conclude
Airborne gravity measurement[D] A paper published on 17 April 2025 reports flights conducted in Iceland and Greenland during June–July 2023, comparing the GIRAFE cold-atom instrument with a conventional gravimeterA real airborne measurement campaign took place; the paper describes a technology still at the development stage
The same airborne comparison[D] Both instruments achieved accuracy of approximately 1–2 milligals, a unit used for small gravity differencesThe evidence does not support a blanket claim that the quantum instrument was superior in every respect
Underground structure measurement[D] A 2022 study reported detection of a known two-metre tunnel through a defined gravity surveyA specific experiment worked; general discovery of arbitrary underground objects requires separate evidence
Defence timing[C] The Royal Navy reported trials on 14 August 2026 involving two AQlock cold-atom clocks, Saab radar equipment and deliberately disrupted timing conditionsThere is a named trial to examine; the announcement does not provide a complete independent account of operational performance

Sources: Airborne gravimetry study, Nature, Quantum sensing for gravity cartography and Royal Navy clock trials. essd.copernicus.org

Why a better clock does not automatically mean complete navigation

Explanation. Time, position and movement are related but different pieces of information. A clock can support systems that depend on precise timing, but it does not by itself report a vehicle’s complete position and route.

[H] Presenting a clock trial as proof that a ship or aircraft can navigate indefinitely without satellite signals would extend the claim beyond the function tested.

Analytical recommendation. Any proposal for navigation resilience should specify:

Required specificationPlain-English meaning
The service maintainedTiming, position, heading, velocity or a defined combination
The durationHow long the required performance can be sustained
The operating conditionsMotion, temperature, vibration and relevant interference
The supporting equipmentMaps, conventional sensors, communications and external references
The acceptable errorHow much uncertainty the mission can tolerate
The fallback procedureWhat the operator does when performance deteriorates

Civilian and military usefulness must be evaluated separately

Analytical judgment. A civilian survey and a military mission can use related measurement principles while requiring different evidence. A geological survey may tolerate processing after the flight. A navigation task may need a dependable answer immediately. A laboratory sensitivity result does not settle either operational question.

For civilian procurement, the principal test should be whether the instrument improves an identified service at an acceptable cost. For defence procurement, the same test must also address the mission environment, hostile interference, deployment procedures, training and recovery after failure.

0.7 — From an Experiment to a Dependable Public Service

A major source of misunderstanding is the assumption that a successful demonstration is the final step before widespread adoption. Political readers need a more complete picture of delivery.

The delivery stages

Analytical framework.

StageWhat has been achievedWhat the public authority should require next
Scientific experimentA result has been obtained under stated conditionsIndependent examination and confirmation of the limits
Working componentOne part of a system performs its intended functionEvidence that it can work with the other required components
Integrated prototypeSeveral parts work togetherTesting against the intended user task
Limited field trialEquipment has operated in a relevant settingRepeatability, failure records and comparison with existing methods
Accepted deploymentA user has approved it for a defined responsibilityMaintenance, training, support and continued performance monitoring
Repeatable productionMultiple units can be delivered consistentlyQuality control, supply continuity and manageable lifetime cost

Two kinds of readiness

Analytical framework. Technical readiness asks whether the equipment works. Institutional readiness asks whether an organisation can use and sustain it.

Technical situationInstitutional situationPolicy implication
Equipment works, but no organisation owns the taskNo operator, budget or acceptance authorityAssign responsibility before describing a service as deliverable
A programme is authorised, but the equipment remains experimentalAn institution has committed to developmentTrack technical milestones separately from spending
A trial succeeds, but maintenance is unresolvedThe user cannot yet sustain deploymentFund operational preparation before expanding installation
A service performs reliably and support is establishedOperators, procedures and resources are in placeConsider broader adoption against evidence from actual use

Why the existing alternative remains important

Analytical recommendation. Every proposed application should be compared with the best relevant existing method. The comparison should include:

Comparison itemWhy it matters
Accuracy or quality of the resultEstablishes whether the new method performs the task better
Time to obtain a usable answerIncludes preparation and processing
AvailabilityShows whether users can depend on access
StaffingCaptures training and specialist support
MaintenanceIdentifies the effort needed to keep equipment working
Lifetime expenditureIncludes installation, operations and replacement
Failure consequencesEstablishes the cost of an incorrect or unavailable result
Independent verificationPrevents the supplier’s preferred benchmark from becoming the only measure

[P] DARPA’s Quantum Benchmarking Initiative explicitly investigates whether quantum computing can reach a scale at which its computational value exceeds its cost, with an assessment horizon of 2033. This is an evaluation objective, rather than a promise that a useful system will necessarily be delivered by that date. Source: DARPA, Quantum Benchmarking Initiative. DARPA

0.8 — What Artificial Intelligence Can Realistically Improve

The useful political question is whether AI improves a particular bottleneck, by a measured amount, under relevant conditions.

A demonstrated contribution

[D] Research published on 8 July 2026 used reinforcement learning to adjust the controls of Google’s Willow processor. For specified error-correction experiments, further tuning reduced logical error rates by approximately 20% beyond the existing calibration. The study also distinguished experiments conducted through repeated runs from simulations exploring uninterrupted operation. Source: Nature, Reinforcement learning control of quantum error correction. Nature

Explanation. This is a practical example of AI helping engineers operate equipment more effectively. It is not evidence that the physical equipment, error correction or manufacturing requirements have become unnecessary.

How to assess an AI contribution

Proposed role for AIPlain-English mechanismEvidence a decision-maker should request
Adjusting equipment controlsSearch for settings that improve measured performanceImprovement on actual hardware, stability and limits
Interpreting error signalsIdentify likely faults from the information the machine producesAccuracy and the time required to deliver the decision
Searching for materials or designsReduce the number of candidates engineers must examinePhysical validation of the suggested design
Testing security implementationsFind weaknesses in software or equipmentA reproducible weakness, its scope and a tested correction
Combining sensor informationUse several measurements to estimate a useful quantityComparison with existing methods in relevant field conditions

[D] The AlphaQubit study published on 20 November 2024 reported machine-learning improvements in interpreting quantum error information. It included data from physical processors and results from simulations, which must remain separately identified. Source: Nature, Learning high-accuracy error decoding for quantum processors. Nature

Analytical judgment. AI can improve the speed and quality of engineering work. A political authority should still demand evidence that the improvement survives integration into the complete system.

0.9 — What May Change Between 2026 and 2031

Forecasts should be conditional

[R] IBM’s public roadmap targets a system called Starling for 2029, with 200 logical qubits and the ability to run 100 million quantum gates, meaning individual processing operations. These are vendor targets. Their significance depends on whether the complete specified performance is demonstrated and independently assessed. Source: IBM Quantum hardware and roadmap. Hardware and roadmap

Analytical recommendation. Governments should plan around several possible outcomes and identify the evidence that would move the assessment from one outcome to another.

Three possible development paths

[R] Conditional analytical scenarios — not assigned probabilities and not delivery promises.

ScenarioWhat happensWhat holds it back or enables itPolitical response
Constrained developmentResearch advances, but dependable computing applications remain narrow; some specialised instruments progressReliability, manufacturing or integration improvements remain insufficientContinue security migration, support rigorous research and expand only applications that pass their own acceptance tests
Steady developmentMore protected calculations become possible and selected applications begin to demonstrate useful resultsSeveral engineering milestones are achieved togetherSupport independent benchmarking and controlled adoption by identified users
Accelerated developmentReliability and production improve faster, allowing broader and more demanding trialsStrong components, fast control, reliable operations and a credible application all succeed togetherPrepare procurement and governance early while retaining full verification requirements

The practical questions for each period

[R] Conditional outlook. These are proposed review questions, not claims that particular capabilities will exist in the stated years.

PeriodQuantum computingInformation protectionSensors and timingRequired evidence
2026–2027Can protected components support increasingly demanding integrated experiments?Have organisations identified vulnerable dependencies and begun tested changes?Can promising instruments repeat their results in relevant conditions?Reproducible experiments, implementation tests and field records
2028–2029Are roadmap targets achieved as complete systems?Have priority services removed the relevant vulnerable dependencies?Can multiple units be maintained by actual users?Independent acceptance results, reliable operation and production records
2030–2031Does a defined application deliver a dependable benefit over a competitive existing method?Are transition results verified across the intended services?Does deployment improve the mission throughout its operating conditions?Measured outcomes, lifetime cost, support performance and accountable ownership

When might encryption-threatening computing arrive?

[R] A resource estimate first submitted by Craig Gidney on 21 May 2025 models factoring an RSA-2048 number in less than a week using fewer than one million noisy physical qubits. Its logical-cost table gives 1,399 logical qubits and approximately 6.5 billion Toffoli operations, a particular kind of processing operation. The physical model uses surface-code protection, including distance-25 arrangements, with differentiated storage overhead. Assumptions include 0.1% physical gate errors, one-microsecond correction cycles, ten-microsecond control reactions and nearest-neighbour connectivity. This is a clearly identified preprint resource estimate, not an executed attack. Source: Gidney, resource estimate and full technical model. arxiv.org

Explanation. The number of components is only one requirement. The machine would also need to perform the required operations reliably, retain information throughout the task and sustain the assumed control performance.

Analytical judgment. The selected evidence reviewed here does not establish that such an attack will be operational by 2031. It also does not justify a guarantee that the risk lies safely beyond every system’s service life. Governments should manage the uncertainty through migration, monitoring and technical review.

Useful progress can occur without a dramatic headline

[R] Conditional analytical outlook. By 2031, meaningful progress could include better protected information, dependable specialised instruments, more reliable computing experiments, stronger supply chains and better evidence about useful applications. None requires a claim that quantum computers have replaced ordinary computing across the economy.

0.10 — The Political and Industrial Stakes

What a government is really trying to secure

Analytical judgment. The industrial question concerns the ability to obtain, operate, repair and improve technology over time. Ownership of a machine is one part of that ability.

Form of capabilityPlain-English meaningPolitical relevance
UnderstandingNational institutions can assess performance and limitationsReduces dependence on promotional claims
DesignEngineers can develop important parts of a systemPreserves the ability to adapt technology
ProductionSuppliers can deliver components consistentlySupports continuity and industrial participation
OperationUsers can run equipment and interpret resultsTurns an installation into a service
MaintenanceFaults can be diagnosed and repairedPrevents dependence on a fragile support arrangement
Security assuranceQualified bodies can examine protection and implementationSupports trusted deployment
Standards participationInstitutions can contribute to common technical rulesInfluences compatibility and future market access
Replacement optionsUsers can change suppliers or componentsReduces long-term dependence

Why supply chains matter

[P] Japan’s quantum ecosystem policy dated 30 May 2025 addresses dependence on important components and materials, including specialist lasers, detectors, diamond materials and refrigeration-related equipment. The document provides evidence of an official industrial concern; it should not be treated as an independently audited inventory of every global dependency. Source: Japan Cabinet Office, quantum ecosystem measures. www8.cao.go.jp

Analytical recommendation. A public investment proposal should therefore identify the suppliers required to keep the system working and the alternatives available if access is interrupted.

Why scientific strength may not become industrial strength

[P] The European Commission’s Quantum Europe Strategy, adopted on 2 July 2025, identifies difficulty translating scientific strengths into market opportunities and fragmentation across national strategies. Its stated areas include research, infrastructure, industrial development, security and skills. Source: European Commission, Quantum Europe Strategy. Shaping Europe’s digital future

Analytical judgment. For political leaders, this creates a responsibility to connect research with users, production and support. Funding excellent science remains valuable, but the intended public benefit must be described accurately: scientific knowledge, industrial capacity and an operational service are different outputs.

How to understand a funding announcement

Analytical framework.

Financial statementWhat it meansWhat it does not establish
A budget is announcedAn authority states an intended financial commitmentThat all the money has been legally authorised or spent
Funding is authorisedExpenditure has an approved basisThat the project has received every payment
A contract is awardedA supplier has an agreed responsibilityThat the required performance has been delivered
Money is paidFunds have been transferredThat the system has passed acceptance
Equipment is installedPhysical delivery has occurredThat users can depend on the intended service
Performance is acceptedThe agreed test has been passedThat future maintenance and supply continuity are automatically secured

Analytical recommendation. National comparisons should identify these categories before adding figures or ranking countries. A large announced envelope and a smaller completed deployment cannot be compared as if they measure the same achievement.

0.11 — Decisions, Public Expenditure and Questions for Suppliers

What deserves immediate action

Analytical recommendations.

Decision areaAction nowEvidence required before expanding expenditure
Long-lived confidential informationIdentify exposure and establish a cryptographic migration programmeVerified implementation and removal of relevant vulnerable dependencies
Public-service digital identities and software trustAssess signatures, certificates and update mechanismsEnd-to-end tests of the replacement trust arrangements
Timing resilienceIdentify services affected by loss or manipulation of external timingPerformance over the required disruption period
New measurement instrumentsCommission trials around a clearly stated taskRepeatability, comparison results and support requirements
Quantum computing applicationsFund bounded experiments with competitive existing methods as comparatorsA useful result with documented reliability and full workflow cost
Special quantum communications linksExamine the actual mechanism and trust arrangementA justified benefit for the specific application
Industrial capacityMap critical dependencies and support justified bottlenecksDeliverable production or support capability
WorkforceTrain operators, engineers, security specialists and procurement staffEvidence that skills can support the intended programme

How to structure public support

Analytical recommendation. Separate funding into purposes that can be reviewed honestly.

PurposeWhat public money buysAppropriate success measure
ResearchKnowledge and reduction of scientific uncertaintyReproducible results and clearly stated unresolved questions
Prototype developmentEvidence that parts can work togetherIntegrated performance against a defined task
Field evaluationEvidence under relevant operating conditionsRecorded performance, faults and comparison results
DeploymentA service accepted by an identified userAvailability, accuracy, support and lifetime expenditure
Security transitionImproved protection across relevant servicesVerified coverage and controlled exceptions
Industrial developmentProduction, repair or supply capabilityConsistency, lead times and continuity

Questions a minister should ask before signing

QuestionWhy it changes the decision
What exact public problem will this address?Establishes whether there is an identified need
What has already been demonstrated?Separates evidence from intention
Under which conditions did it work?Reveals whether the evidence fits the proposed use
What is still missing?Makes the remaining development responsibility visible
What is the best existing alternative?Prevents comparison with a weak or outdated method
Who owns the result and accepts delivery?Establishes accountability
What happens if the principal milestone is missed?Defines the response to delay or failure
What will it cost throughout its service life?Includes operations and support
Which suppliers are indispensable?Reveals continuity risks
Can performance be independently examined?Protects the authority’s ability to verify claims
How will users be trained and equipment repaired?Tests whether deployment can be sustained
How will the public benefit be measured?Connects technical expenditure with an accountable outcome

How leaders should communicate the situation

Analytical recommendation. Public statements should describe the capability at its demonstrated level.

Evidence availableAppropriate public wording
A scientific result“Researchers demonstrated the specified effect under the reported conditions.”
An authorised programme“The government has funded work to develop and evaluate the capability.”
A future target“The programme aims to reach this milestone, subject to the stated technical requirements.”
A reported trial“The authority reports a trial; operational performance remains under evaluation.”
An accepted service“The system has met the specified acceptance requirements for this defined use.”

A clear statement of limits protects the credibility of the programme. It also allows future progress to be recognised when the next milestone is actually achieved.

0.12 — Key Judgments, Evidence That Would Change Them and Source Register

Key judgments

1. Different quantum technologies require different political decisions.
Analytical judgment. A software security transition, a field instrument and a future computing architecture should have separate owners, budgets and acceptance criteria.

2. Security preparation has a practical basis today.
[P] Final post-quantum standards provide a basis for implementation, while official guidance treats migration as a substantial organisational task. The decision changed is whether to begin discovery, testing and replacement planning now. Sources: NIST standards and NCSC migration guidance. NIST

3. Demonstrated improvement in quantum computing reliability is significant, but it does not establish every promised application.
[D] Protected-memory experiments provide evidence of progress. Analytical judgment. The decision changed is how research milestones should be funded and verified before operational commitments increase. Source: Nature, error correction below threshold. Nature

4. Measurement and timing deserve application-specific assessment.
[D] Established atomic metrology and published field measurements demonstrate concrete functions. Analytical judgment. The decision changed is whether to commission a defined operational comparison rather than wait for quantum computing to mature. Sources: PTB atomic timing and airborne gravimetry. PTB.de

5. Future capability should be governed through evidence and alternative plans.
[R] Roadmaps specify goals rather than guaranteed outcomes. Analytical judgment. The decision changed is whether procurement and national strategies contain independent reviews, staged commitments and responses to missed milestones. Source: IBM roadmap. Hardware and roadmap

What would change this assessment?

Analytical review criteria.

AreaEvidence that would justify a stronger assessment
Quantum computingAn independently assessed application delivering a dependable benefit against a competitive conventional method
ReliabilityProtected operations sustained at the scale and duration required by the intended task
ManufacturingMultiple systems delivered with consistent performance and manageable support requirements
Information protectionVerified migration across the intended services, including identity and software trust
Quantum communicationsEvidence of a justified security benefit under a complete, tested trust arrangement
SensorsRepeatable performance in the intended environment, with a credible cost and maintenance comparison
Defence useMission-relevant acceptance evidence, trained operators and established logistics
AI assistanceMeasured improvements retained within the integrated physical system
Industrial capabilityDemonstrated production, repair and supply continuity at the required scale

Open official record

The assessment remains limited to the public evidence cited. A public roadmap cannot establish undisclosed capability, and the absence of an open demonstration cannot prove that no classified activity exists. Equally, speculation about classified activity cannot be used to justify a procurement claim.

A political authority should therefore require the strongest evidence available within the relevant security setting, while ensuring that public statements remain consistent with what can actually be supported.

Source register

Retrieval date for every entry: 4 October 2026.

SourcePublication or document statusWhy it matters in Pillar 0
NIST — First three finalised post-quantum standardsAnnouncement dated 13 August 2024Establishes that concrete standards exist
NIST — FIPS 203: ML-KEMFinal standard, 13 August 2024Defines the key-establishment method
NIST — FIPS 204: ML-DSAFinal standard, 13 August 2024Defines a digital-signature method
NIST — FIPS 205: SLH-DSAFinal standard, 13 August 2024Defines a second digital-signature approach
NIST — What Is Post-Quantum Cryptography?Official explanatory resourceExplains early preparation and retained-data exposure
NIST — Post-quantum cryptography FAQsOfficial technical guidanceDistinguishes different cryptographic risks
NIST — Quantum Computing ExplainedOfficial explanatory resourceCorrects the “all answers at once” description
NCSC — PQC migration timelinesGuidance published in March 2025Establishes planning and migration milestones
NSA — QKD and quantum cryptographyOfficial agency position; some explanatory passages retain older standardisation contextIdentifies limitations relevant to national-security procurement
Nature — Quantum error correction below the surface code thresholdFirst published 9 December 2024; corrected in April 2026Demonstrates progress in protected quantum memory
npj Quantum Information — Limitations of noisy quantum devicesPublished 28 November 2025Explains limits under specified noise assumptions
Nature — Reinforcement learning control of quantum error correctionPublished 8 July 2026Provides a measured example of AI-assisted control
Nature — Learning high-accuracy error decodingPublished 20 November 2024Provides evidence on machine-learning interpretation of errors
IBM — Quantum hardware and roadmapCurrent vendor roadmap, including a 2029 targetProvides a future milestone requiring verification
DARPA — Quantum Benchmarking InitiativeCurrent programme recordDefines evaluation of computational value against cost
Gidney — RSA-2048 factoring resource estimatePreprint first submitted 21 May 2025Shows why cryptographic relevance requires a complete resource model
Gidney — Full resource modelTechnical text retrieved for assumptions and tablesDetails logical operations, protection and physical costs
PTB — Realisation of the SI secondOfficial metrology resourceEstablishes the existing public role of atomic timing
Earth System Science Data — Airborne gravimetryPublished 17 April 2025; measurements from 2023Provides field evidence and a conventional comparison
Nature — Quantum sensing for gravity cartographyPublished February 2022Establishes a specific underground-structure experiment
Royal Navy — Quantum clock trialsOfficial announcement, 14 August 2026Identifies a reported defence timing trial
Nature — Quantum memory nodes in a telecom networkPublished May 2024Establishes a defined quantum networking experiment
European Commission — Quantum Europe StrategyAdopted 2 July 2025Identifies industrial translation and coordination concerns
Japan Cabinet Office — Quantum ecosystem measuresPolicy document dated 30 May 2025Identifies component, supply-chain and industrial-development priorities

Final political assessment — analytical judgment. Governments can make useful decisions now by improving information protection, testing instruments against real public needs, supporting verifiable computing milestones and strengthening the capacity to operate and maintain technology. The central responsibility through 2031 is to connect each commitment with a measurable result, while preserving the ability to change course as the evidence develops.


Pillar I — Mechanisms, Hardware and Computational Evidence

Evidence cut-off and retrieval date: 4 October 2026. This instalment completes Chapters 1–4 together, following the structure in your supplied prompt and scheme. It develops the technical and computational evidence without reproducing the opening assessment’s migration timetable, national summaries or cryptanalytic resource table.

Classification: [D] demonstrated result, bounded by the experiment; [P] funded, contracted, mandated or standardised programme; [R] roadmap, prospective application or conditional projection; [C] attributed assertion lacking the primary technical evidence required for demonstration status; [H] misleading equivalence, unsupported generalisation or category error. Analytical recommendations below are identified as recommendations rather than presented as demonstrated capabilities.

Chapter 1 — Executive Adjudication

Principal judgment

The appropriate unit of assessment is a verified workload executed under a complete resource and error budget. Qubit numbers, isolated gate fidelities and encoded-state demonstrations each describe part of that capability, but they cannot individually establish useful, sustained computation. The reviewed record contains significant advances in physical processors, logical subroutines and hybrid scientific workflows; the decision problem is determining which missing elements separate each result from its proposed application. This judgment follows from the different experimental scopes of A 98-qubit trapped-ion quantum computer with all-to-all connectivity — Quantinuum and collaborators, Nature, Jun 2026, Experimental Demonstration of Logical Magic State Distillation — author manuscript of the Nature paper, published Jul 2025, and Chemistry Beyond the Scale of Exact Diagonalization on a Quantum-Centric Supercomputer — IBM, RIKEN and collaborators, Science Advances, Jun 2025. Nature

Five actionable findings

FindingEvidence and bounded interpretationDecision consequence
1. Buy verified computation rather than a qubit inventory.[D] The 2026 Helios paper reports an integrated trapped-ion processor with measured component errors and circuit benchmarks. Those measurements support the processor’s documented performance; they do not convert its physical register into an equal-sized fault-tolerant logical register. A 98-qubit trapped-ion quantum computer with all-to-all connectivity — Nature, Jun 2026.Require the proposed workload, compiled circuit, accepted-result rate, elapsed time, verification method and comparator before approving application procurement.
2. Treat universal fault tolerance as an integration problem.[D] Neutral-atom logical magic-state distillation demonstrates a necessary resource-generation operation. Its importance lies in improving encoded resource states, rather than establishing an unrestricted production computer. Experimental Demonstration of Logical Magic State Distillation — Nature, Jul 2025; linked author manuscript.Fund milestones that connect memory, gates, resource-state production, measurement and classical control within one sustained computation.
3. Require classical competition to remain open throughout a pilot.[D] Subsequent classical work produced fast, converged simulations of the experiment originally presented as evidence of pre-fault-tolerant utility. A benchmark conclusion can change while the quantum hardware remains the same. Fast and converged classical simulations of evidence for the utility of quantum computing before fault tolerance — Caltech author repository, Science Advances, Jan 2024.Establish an independent classical team and permit updated algorithms; a vendor-selected baseline should not determine the investment case.
4. Assess manufacturing through reproducibility and yield.[D] Foundry-compatible silicon spin-qubit work reports high-fidelity operations across four characterised devices. This is evidence of repeatable unit-cell performance, not evidence of a large operational processor or production yield at that scale. Industry-compatible silicon spin-qubit unit cells exceeding 99% fidelity — Nature, Sep 2025.Request distributions across devices, wafers and operating conditions, together with calibration effort, packaging losses and repair procedures.
5. Evaluate AI against a named engineering bottleneck.[D] Reinforcement learning has been experimentally used to adjust control parameters during error correction. [R] Its extension to larger systems remains a separate scaling proposition. Reinforcement learning control of quantum error correction — Google Quantum AI, Google DeepMind and collaborators, Nature, Jul 2026.Measure logical performance, drift tolerance, training cost and control latency with and without the intervention; an AI label should not substitute for these results.

The investment distinction

The recommended investment structure separates research option value, engineering capability and application value. A device may justify research funding because it tests a difficult physical mechanism. A control system may justify engineering funding because it improves reliable operation. An application contract requires additional evidence that the complete workflow produces a useful result under the buyer’s constraints. Moving between these categories should require a new acceptance test.

This distinction is particularly important for hybrid chemistry. [D] Quantum samples can contribute to a workflow whose other stages run on a classical supercomputer. The value question then concerns the incremental contribution of those samples, including the classical processing they require. Independent analysis of quantum-selected configuration interaction identifies sampling and compactness limitations that bear directly on this question. Critical Limitations in Quantum-Selected Configuration Interaction Methods — Reinholdt and collaborators, Journal of Chemical Theory and Computation, Jun 2025; linked author version. arxiv.org

Key judgments

The evidence supports differentiated research and engineering commitments. It supports application procurement only within the demonstrated workload boundary and an independently evaluated comparison. A single score combining physical qubits, fidelity, funding and commercial announcements would conceal the distinctions that matter to the decision.

What would change the assessment

A stronger application assessment would require reproducible, sustained execution of a named useful workload, with disclosed logical resources where applicable, complete elapsed time, output accuracy, unsuccessful attempts and contemporary classical competition. A stronger industrial assessment would require repeatable manufacturing and service performance beyond selected laboratory devices.

Open official record

The principal unresolved records are application-level execution logs, accepted-run statistics, calibration interruptions, manufacturing distributions and independently reproduced comparisons. The linked Helios paper, silicon unit-cell paper and chemistry methods critique provide evidence relevant to these questions without supplying every record required for operational acceptance.

Chapter 2 — The Taxonomy

Principal judgment

Quantum terminology becomes decision-useful only when it identifies a physical mechanism, a delivered function and a bounded assurance claim. The same word can otherwise refer to incompatible systems: classical cryptography designed to resist quantum attacks, optical key distribution, entanglement-assisted processing or a sensor exploiting quantum properties. NIST’s key-encapsulation standard and the experimental optical-network computing paper illustrate this difference directly. Module-Lattice-Based Key-Encapsulation Mechanism Standard — NIST, FIPS 203, Aug 2024; Distributed quantum computing across an optical network link — Nature, Feb 2025. CSRC

2.1 Mechanism dictionary and misleading expressions

ExpressionMechanism that must be identifiedDefensible classificationMisleading interpretation to rejectEvidence required
“Quantum internet”Entanglement distribution, quantum memories, interfaces, routing and the accompanying classical control.[D] for a documented experiment; [R] for a proposed broader network.[H] A quantum link automatically provides an operational internet, unrestricted quantum computing or instantaneous communication.Entanglement rate and fidelity, memory lifetime, losses, failure handling and delivered protocol. Distributed quantum computing across an optical network link — Nature, Feb 2025.
“Quantum-safe VPN”Named key establishment, authentication, signatures and symmetric protection within the actual protocol.[P] for an applicable standard; deployment status needs separate evidence.[H] Use of one quantum-resistant primitive proves the entire VPN implementation secure.Complete cryptographic inventory, protocol composition and implementation assurance. Module-Lattice-Based Key-Encapsulation Mechanism Standard — NIST, Aug 2024.
“Unhackable quantum link”Usually QKD equipment and key-management infrastructure.[H] when asserted without qualification.[H] Protection of key distribution removes endpoint, authentication, equipment or availability vulnerabilities.Authentication design, implementation testing, relay trust and service continuity. Cryptograph Solutions are Limited Compared to Quantum-Resistant Algorithms — NSA, Oct 2026.
“Quantum encryption”Specify whether the system distributes keys, encapsulates keys, signs messages or protects payloads.Unresolved until decomposed.[H] QKD, post-quantum cryptography and payload encryption are interchangeable.Name the primitive and its exact role. Module-Lattice-Based Key-Encapsulation Mechanism Standard — NIST, Aug 2024.
“Quantum radar”Quantum illumination or another explicitly specified sensing protocol.[D] for the bounded laboratory result.[H] Laboratory detection advantage establishes deployable long-range detection of operational targets.Target model, losses, noise, receiver, temperature, range and equal-resource classical comparison. Demonstration of Quantum Advantage in Microwave Quantum Radar — Nature Physics, 2023; linked author version revised Mar 2023.
“AI-powered quantum computer”Calibration, decoding, control, compilation or another named intervention.[D] for a measured intervention; [R] for extrapolation.[H] AI removes the need for physically reliable operations or error correction.Ablation study, logical outcome, latency and behaviour under drift. Reinforcement learning control of quantum error correction — Nature, Jul 2026.
“Logical qubit”An encoded information unit under a specified code and protocol.[D] only within the demonstrated operations and correction conditions.[H] Every encoded register supports the same gates, protection and computation duration.Code parameters, syndrome procedure, correction, accepted fraction and logical errors. Logical quantum processor based on reconfigurable atom arrays — Nature, Dec 2023.
“Fault-tolerant”A circuit or architecture designed to constrain error propagation under stated assumptions.[D] for tested operations; [R] for an unbuilt complete architecture.[H] One fault-tolerant subroutine establishes universal sustained computation.Tested fault model, logical operations, repeated correction and integration. Fault-tolerant control of an error-corrected qubit — Nature, Oct 2021.
“Quantum advantage”A specified quantum-versus-classical comparison.[D] for experimental performance, with the comparison’s scope disclosed.[H] A benchmark separation proves general commercial advantage.Problem family, accuracy, resources, classical methods and comparison date. Observation of constructive interference at the edge of quantum ergodicity — Nature, Oct 2025.
“Topological qubit”A specified physical encoding, readout and proposed protection mechanism.[D] for demonstrated device behaviour; [C] for broader unsupported vendor assertions.[H] Parity readout alone establishes protected universal computation.Protection tests, coherent operations, error mechanisms and reproducibility. Interferometric single-shot parity measurement in InAs–Al hybrid devices — Nature, Feb 2025.

2.2 Three stacks with separate acceptance boundaries

The proposed classification below prevents evidence from one stack from being used to certify another.

StackDelivered functionRecommended acceptance boundaryEvidence that cannot substitute for acceptance
A — ComputingA sampled output, observable, energy estimate, optimisation result or other defined computation.Output accuracy, accepted-result rate, complete runtime, resource accounting and classical comparison.Security standards, a sensor trial or an announced processor capacity.
B — Communications and cryptographyKey establishment, authentication, protected traffic or a specified quantum-network protocol.Threat model, primitive composition, endpoint assurance, relay assumptions and availability.A difficult sampling experiment or an encoded logical state.
C — Sensing, timing and metrologyA measured physical quantity or mission-relevant estimate.Sensitivity, bandwidth, bias, drift, environmental tolerance, duration and system integration.A computing roadmap or an optical key-distribution demonstration.

[D] The radar experiment is especially instructive: its author record describes a microwave quantum-illumination demonstration performed inside a dilution refrigerator and identifies restricted operating parameters and low-temperature requirements. Its evidentiary value concerns the mechanism and the experimental detection task. [R] Operational radar capability would require additional evidence about propagation, target conditions, receiver integration and environmental operation. Demonstration of Quantum Advantage in Microwave Quantum Radar — Nature Physics, 2023; author version, Mar 2023. arxiv.org

2.3 Two readiness axes

The following is an analytical assessment framework, not an official universal quantum-readiness scale.

Technical stateWhat it establishesInstitutional stateWhat it establishes
Laboratory mechanismThe effect exists under documented experimental conditions.Research activityAn institution is investigating it.
Characterised componentA device has measured interfaces and performance.Funded programmeResources have been committed to a specified programme.
Integrated prototypeSeveral components execute the intended function together.Validated requirementA user has defined the need and acceptance criteria.
Field trialThe system has been tested in a relevant operating environment.ProcurementA buyer has contracted for specified equipment or services.
Repeatable productionManufacturing and service performance are reproducible.Accreditation or acceptanceThe system has passed the relevant institutional assessment.
Operational qualificationThe complete system meets its defined mission envelope.Doctrine or routine useIt has an established role in operational practice.

A procurement announcement should therefore be recorded on the institutional axis at the level its documents justify. It should not advance the technical axis by implication. Conversely, a technically persuasive experiment can remain a research result without an operational customer or qualification record.

2.4 Metrics that should remain distinct

MetricCorrect interpretationAdditional information needed
Gate fidelityCloseness of an implemented operation to its target under a specified characterisation method.Method, uncertainty, parallel operation, drift and leakage.
SPAM performanceState-preparation-and-measurement performance.Whether preparation and measurement errors are separated.
Logical error per cycleEncoded performance during the stated correction cycle.Cycle duration, code, decoder and error correlations.
Postselected fidelityQuality of the accepted subset.Acceptance probability and cost of rejected attempts.
Memory lifetimePreservation of information under the tested memory protocol.Logical gates and computation duration are separate questions.
Circuit throughputCompleted circuits or outputs over time.Circuit size, accuracy, calibration and rejected runs.
Advantage ratioRelative performance for the specified comparison.Classical methods, hardware, precision and resource equality.

These distinctions have direct experimental consequences. [D] The superconducting magic-state study reports different infidelities for feedforward and postselected procedures, while also measuring their yields; collapsing those results into one fidelity would discard information about usable output production. Encoding a magic state with beyond break-even fidelity — IBM and collaborators, Nature, Jan 2024. Nature

Key judgments

Terminology should identify the mechanism before describing benefit. Readiness should be recorded separately for technical performance and institutional adoption. Metrics should retain their experimental conditions, particularly where postselection, error mitigation or model-based comparison affects interpretation.

What would change the assessment

A term becomes suitable for procurement when its supplier supplies a mechanism-specific specification, a relevant test protocol and an assurance boundary. Greater readiness requires evidence at the next level on the appropriate axis.

Open official record

For security products, request the protocol and assurance documents supporting the advertised property, using NIST FIPS 203 and the NSA assessment of specialised cryptographic solutions as mechanism-specific references. For computing and sensing, request experimental conditions and complete accepted-output records.

Chapter 3 — Quantum Computing: Hardware Truth

Principal judgment

The six hardware families have demonstrated different capabilities and face different integration burdens; the reviewed evidence does not justify a single ranking based on qubit count. A useful comparison must retain the device’s physical register, demonstrated encoding, operation quality, accepted-run conditions and scaling assumptions. The examples below are selected evidence points, not an exhaustive inventory or a claim that these are each platform’s global maximum.

3.1 Comparative hardware evidence

PlatformDemonstrated evidenceQuantitative detailLogical or correction boundarySource
Superconducting[D] Error-suppressed preparation of an encoded magic resource on IBM hardware.Four data qubits encode two logical qubits; reported logical infidelity 1.87 ± 0.16% with feedforward and 1.23 ± 0.11% with postselection.Resource-state preparation; an accepted state’s quality and production yield must remain separate.Encoding a magic state with beyond break-even fidelity — Nature, Jan 2024.
Trapped ion[D] Integrated Helios processor with transport-based connectivity.98 physical qubits; mean infidelities: 2.5(1) × 10⁻⁵ for one-qubit gates, 7.9(2) × 10⁻⁴ for two-qubit gates and 3.3(5) × 10⁻⁴ for SPAM.Physical processor and circuit benchmarks; these counts do not describe 98 error-corrected logical qubits.A 98-qubit trapped-ion quantum computer with all-to-all connectivity — Nature, Jun 2026.
Neutral atom[D] Reconfigurable encoded processor executing logical circuits.Up to 280 physical atoms and 48 logical qubits; circuits include 228 logical two-qubit gates and 48 logical CCZ gates.The highlighted large logical register uses an [[8,3,2]] encoding; error detection and postselection must be distinguished from unrestricted repeated correction.Logical quantum processor based on reconfigurable atom arrays — Nature, Dec 2023.
Photonic[D] Aurora modular photonic architecture and real-time decoding demonstration.35 chips, 84 squeezers, 36 photon-number-resolving detectors, furnishing 12 physical qubit modes per clock cycle.A distance-2 repetition code; temporal cluster-state size is not a simultaneous logical register.Scaling and networking a modular photonic quantum computer — Xanadu, Nature, Jan 2025; PMC full text.
Silicon spin[D] Foundry-compatible two-qubit unit cells characterised across four devices.Controlled-Z fidelities range from 99.04(16)% to 99.56(6)%; paper reports 95% confidence for the characterisation error bars.Physical operations and manufacturing compatibility; no corresponding large logical register is established by these devices.Industry-compatible silicon spin-qubit unit cells exceeding 99% fidelity — Nature, Sep 2025.
Topological approaches[D] Single-shot parity measurement in hybrid devices; separate minimal-chain readout experiments.In the InAs–Al work, optimal readout gives an assignment-error probability of approximately 1%.The authors explicitly retain ambiguity between the targeted topological interpretation and certain trivial low-energy states.Interferometric single-shot parity measurement in InAs–Al hybrid devices — Nature, Feb 2025.

Comparison rule: the entries use different operations, characterisation protocols and correction conditions. Their percentages should not be treated as measurements of the same system-level quantity. Nature

3.2 Superconducting hardware: resource-state production and control

[D] The encoded magic-state experiment illustrates a practical trade-off. Feedforward changes later operations according to intermediate measurements, increasing useful-state production relative to a more restrictive postselection procedure. It also introduces additional control-related waiting during which errors can accumulate. The reported advantage therefore involves both output quality and output yield. Encoding a magic state with beyond break-even fidelity — Nature, Jan 2024.

The recommended procurement quantity is consequently accepted resource states per unit time at the required infidelity, including control delays and rejected attempts. A supplier reporting only the best accepted-state fidelity leaves the buyer unable to determine whether an algorithm’s resource demand can be met.

[D] The July 2026 reinforcement-learning experiment addresses another operational issue: maintaining calibration during error correction. It uses error-detection events as a learning signal for continuous control adjustment. The experiment reports 3.5-fold greater logical stability against injected drift. The larger-code scaling evidence described in the paper is numerical rather than a hardware demonstration at those larger sizes. Reinforcement learning control of quantum error correction — Nature, Jul 2026. Nature

Control questionRecommended evidenceDecision relevance
Does calibration interrupt execution?Time-stamped interruption and recovery logs.Long computations require continuity.
Does performance persist during drift?Defined drift tests and naturally occurring drift records.A short stable interval may not represent sustained operation.
Does learning improve logical outcomes?Comparison with the same hardware and fixed control.Physical calibration scores may conceal logical consequences.
What is the learning overhead?Training samples, compute resources and elapsed time.Improvement must be assessed with its operating cost.
What happens when adaptation fails?Detection, rollback and run-rejection procedures.Failed adaptation must not silently invalidate results.

3.3 Trapped ions: connectivity has a schedule

[D] Helios implements connectivity through physical transport between memory and operating regions. Its paper describes parallel operations, shared optical resources and real-time compilation of dynamic programmes. The entangling-gate operation itself takes approximately 70 microseconds, but a complete programme also involves transport, cooling and other operations. Gate duration alone therefore cannot establish application runtime. A 98-qubit trapped-ion quantum computer with all-to-all connectivity — Nature, Jun 2026.

The architectural question is how effectively movement, cooling and gates overlap under an actual compiled workload. Connectivity may reduce the number of routing gates required by an algorithm, while transport introduces its own scheduling demands. The relevant comparison should measure both effects within the same programme.

[D] Earlier trapped-ion work demonstrated fault-tolerant control of one Bacon–Shor encoded qubit using 13 physical ions. It reported average logical preparation-and-measurement error of 0.6% and Clifford-gate error of 0.3% after offline correction. Those results establish bounded logical operations; the offline qualifier matters when assessing real-time integration. Fault-tolerant control of an error-corrected qubit — Egan and collaborators, Nature, Oct 2021. Nature

Architecture issueRecommended test
Transport-related performanceError and duration distributions for the programme’s actual movement operations.
Parallel optical controlGate characterisation under simultaneous execution.
Cooling overheadFull compiled schedule including cooling and waiting.
Measurement and feedforwardLatency distribution and its effect on encoded performance.
Modular expansionMeasured interface performance and complete distributed operations.

3.4 Neutral atoms: logical registers and non-Clifford resources

[D] The reconfigurable-array experiment establishes that many encoded qubits can participate in structured logical circuits. Its large-register demonstration combines encoding, logical operations and error-detection-based selection. The retained runs should therefore be evaluated with their acceptance fraction rather than interpreted as an unconditional corrected computation. Logical quantum processor based on reconfigurable atom arrays — Nature, Dec 2023.

[D] Subsequent logical magic-state distillation demonstrated improved output-state fidelity relative to input logical states using distance-3 and distance-5 colour codes. This is a distinct capability: producing resources needed for universal encoded operations. It strengthens the technical pathway without establishing the throughput, integration and sustained runtime required by an arbitrary large algorithm. Experimental Demonstration of Logical Magic State Distillation — Nature, Jul 2025; author manuscript. arxiv.org

StageFunctionEvidence required before advancing
Encoded-state preparationCreates the logical input.Preparation error and acceptance statistics.
Repeated syndrome extractionSupplies information about accumulating errors.Performance over the required number of cycles.
Logical entangling operationsConnects encoded registers.Errors during gates, movement and measurement.
Resource-state preparationSupplies non-Clifford resources.Input quality and production rate.
DistillationImproves resource-state quality.Output error, accepted yield and consumed resources.
Integrated computationUses these elements together.Complete workload execution with a total error budget.

This proposed stage structure prevents the presence of one component from being used to certify the others. The next decisive experiment would connect the components under the same control and operating conditions while retaining the complete accepted-run record.

3.5 Photonics: temporal scale, losses and useful outcomes

[D] Aurora generated a cluster state described as containing 86.4 billion modes through temporal operation. The paper simultaneously identifies 12 physical qubit modes per clock cycle and calls the machine a scale model with insufficient component performance for the intended full architecture. The cumulative mode count therefore describes the generated stream, rather than billions of simultaneously available, protected logical qubits. Scaling and networking a modular photonic quantum computer — Nature, Jan 2025. PMC

A useful photonic comparison must report losses alongside fidelity. [C — author preprint] The April 2024 manufacturable-platform manuscript reports high-fidelity component operations, including two-qubit fusion and chip-to-chip transfer, while explicitly excluding loss from the quoted interconnect fidelity. Those numbers support the attributed component claim, not an independently certified operational computer. A manufacturable platform for photonic quantum computing — Alexander and collaborators, author preprint, Apr 2024. arxiv.org

QuantityRecommended reporting condition
Source qualityState quality and useful-event probability.
TransmissionLoss through the complete path, including interfaces.
Fusion or entangling operationConditional fidelity and success probability.
Detector performanceEfficiency, errors, timing and recovery characteristics.
Switching and delayLoss, latency and reliability during the actual schedule.
Logical processingAccepted encoded outputs per unit time at the required error.

For procurement, a conditional fidelity should always be accompanied by the probability and cost of obtaining the condition. Otherwise a component can appear excellent while delivering too few useful events for the proposed architecture.

3.6 Silicon: three different scaling questions

Silicon evidence should distinguish foundry-compatible electrostatic devices, precision donor processors and mobile-spin interconnection. Their results address different engineering constraints.

ApproachDemonstrated resultQuantitative boundaryInterpretation
Foundry-compatible unit cells[D] Characterised high-fidelity two-qubit operations on four devices.Controlled-Z range 99.04(16)%–99.56(6)%; SPAM exceeds 99.9% on three devices, with 99.33(9)% on the fourth.Reproducibility evidence at unit-cell scale. Industry-compatible silicon spin-qubit unit cells exceeding 99% fidelity — Nature, Sep 2025.
Donor-based processor[D] An 11-qubit processor using coupled registers.Reported operation fidelities 99.10%–99.99%, Bell-state fidelity up to 99.5% and an eight-nuclear-spin GHZ state.A physical processor and entanglement result, rather than 11 protected logical qubits. An 11-qubit atom processor in silicon — Nature, Dec 2025.
Mobile spins[D] Two-qubit logic combined with movement and teleportation.Approximately 99% two-qubit gate fidelity; 87% conditional, postselected teleportation fidelity over 320 nanometres.Movement and conditional transfer have separate quality measures. Two-qubit logic and teleportation with mobile spin qubits in silicon — Nature, May 2026.

The recommended industrial assessment should therefore ask three separate questions: can the unit cell be fabricated reproducibly; can many unit cells be controlled together; and can the complete array execute the required encoded operations? Compatibility with an established manufacturing process materially informs the first question, but does not settle the latter two.

The mobile-spin result also illustrates why a distance measurement needs its physical scale and conditions. Nanometre-scale movement within a device is relevant to processor layout. It should not be described as evidence of a deployable communications network.

3.7 Topological approaches: measurement, protection and vendor claims

[D] The InAs–Al parity paper demonstrates an important measurement capability. Its authors explicitly state that this measurement by itself does not uniquely distinguish Majorana zero modes in a topological phase from certain fine-tuned low-energy Andreev states in a trivial phase. That interpretive boundary should remain attached to the result. Interferometric single-shot parity measurement in InAs–Al hybrid devices — Nature, Feb 2025.

[D] The 2026 minimal-Kitaev-chain paper reports real-time parity readout with switching lifetimes exceeding one millisecond. It identifies the two-site modes as offering limited protection compared with longer chains. The result advances readout and device control while leaving protection and scalable computation as separate evidentiary questions. Single-shot parity readout of a minimal Kitaev chain — Nature, Feb 2026. Nature

[C] Microsoft’s June 2026 Majorana 2 announcement describes improved device reliability and longer-lived states. [R] Its timetable for a scalable future computer remains a company objective. The announcement should be recorded as a first-party claim unless primary technical evidence establishes the relevant operations and protection. Introducing Majorana 2 — Microsoft, Jun 2026. news.microsoft.com

Claim levelRecommended discriminating evidence
Parity readoutSingle-shot errors, lifetimes and measurement back-action.
Topological interpretationTests that constrain competing explanations.
Coherent encoded controlReproducible preparation and operations on the encoding.
ProtectionError behaviour under controlled perturbations and scaling.
Logical processingA specified logical gate set and error accounting.
Universal sustained computationIntegrated encoded execution at the proposed workload scale.

This framework permits recognition of real experimental progress while avoiding an unsupported promotion from a readout result to an operational computer.

3.8 Error correction: overhead depends on architecture and assumptions

[R — model-based architectural projection] The bivariate-bicycle-code study estimates preservation of 12 logical qubits using 288 physical qubits, under a stated physical error rate of 0.1%, for nearly one million syndrome cycles. Its comparable surface-code estimate requires nearly 3,000 physical qubits. The result is theoretical and numerical, rather than a hardware demonstration of that memory. High-threshold and low-overhead fault-tolerant quantum memory — Bravyi and collaborators, Nature, Mar 2024. Nature

The comparison shows why a generic “physical qubits per logical qubit” conversion is inadequate. The projected saving depends on the code, noise assumptions, connectivity and correction circuit. Its system value must also account for logical gates and resources beyond memory.

Resource-estimation fieldRecommended disclosure
Error-correcting codeCode family, parameters and layout.
Physical noiseGate, measurement, preparation, idle and correlated errors.
ConnectivityRequired interactions and their implementation.
Syndrome cycleDuration and constituent operations.
DecoderAlgorithm, latency, resources and failure behaviour.
Logical operationsGate-specific errors and durations.
Non-Clifford resourcesProduction quality, rate and factory footprint.
Complete workloadLogical register, depth, repetitions and success target.

3.9 Manufacturing and supply-chain acceptance

[C — supplier-reported delivery] Oxford Instruments reported installation of three dilution refrigerators at the UK National Quantum Computing Centre in December 2024. This establishes an attributed enabling-equipment delivery; three refrigerators should not be recorded as three operational quantum computers. Oxford Instruments NanoScience installs dilution refrigerators in the NQCC’s purpose-built research labs — Oxford Instruments, Dec 2024. Oxford Instruments

The proposed diligence matrix below identifies records to collect rather than asserting market shares, national independence or undisclosed supplier concentration.

DependencyRecords to requestAcceptance question
Cryogenic equipmentCooling capacity, load curves, service intervals and recovery time.Does performance persist with the complete installed system?
Lasers and opticsStability, lifetime, alignment effort, spares and replacement qualification.Can control performance be reproduced after maintenance?
Silicon and fabricationMaterial specification, process variation, device distributions and wafer evidence.How representative are the characterised devices?
Photonic packagingInterface loss, assembly yield and environmental testing.Does packaging retain component performance?
Classical electronicsChannel capacity, timing, latency, firmware and failover.Can the controller support the required correction cycle?
Calibration softwareProcedures, access rights, portability and recovery documentation.Can the buyer operate and diagnose the system?
Detectors and readoutEfficiency, errors, throughput and operating requirements.Is useful-result production limited by measurement?
Service and replacementRepair times, qualified parts and requalification tests.Can capability be restored within the buyer’s requirement?

Key judgments

Hardware assessment requires a complete architecture, not a modality label. Logical subroutines are substantial technical achievements, but their integration and throughput determine application feasibility. Manufacturing evidence should describe distributions and reproducibility; supply-chain evidence should describe operational dependencies and recoverability.

What would change the assessment

The strongest upgrade would be repeated, sustained encoded computation with a universal operation set, measured resource-state throughput, real-time correction and demonstrated error performance across the required duration. Industrial readiness would additionally require comparable performance across production units and maintenance cycles.

Open official record

The records most likely to alter the assessment are full error distributions, parallel-operation tests, logical execution logs, accepted yields, decoder latency, fabrication distributions and service evidence. The low-overhead memory study identifies architectural opportunities; the silicon reproducibility study supplies bounded manufacturing evidence; the minimal-chain readout paper defines a narrower demonstrated topological-device milestone.

Chapter 4 — What Quantum Computers Can and Cannot Do in 2026

Principal judgment

The reviewed record supports specified experiments and selected hybrid scientific workflows; it does not establish general superiority across chemistry, optimisation, database search or cryptanalysis. A defensible application claim must identify the mathematical task, its effective size, required accuracy, complete workflow and contemporary classical competition.

4.1 Application evidence matrix

ApplicationEvidence class and demonstrated scopeQuantitative anchorWhat the evidence does not establishAppropriate evaluation
Electronic structure[D] Quantum sampling within a hybrid workflow using Heron and Fugaku.Circuits up to 77 qubits and 10,570 gates.General superiority over the strongest approximate classical chemistry methods.Compare energy accuracy and full workflow resources. Chemistry Beyond the Scale of Exact Diagonalization on a Quantum-Centric Supercomputer — Science Advances, Jun 2025.
Many-body simulation[D] Krylov methods demonstrated on specified spin-model sectors.Up to 56 sites, including restricted particle-number sectors.Arbitrary simulation of the full 56-qubit state space.Report effective sector and projected-subspace dimensions. Krylov diagonalization of large many-body Hamiltonians on a quantum processor — Nature Communications, Jun 2025.
Quantum dynamics[D] Higher-order correlation measurements and Hamiltonian-learning example.Reported 65-qubit circuits in a specified experimental regime.General commercial chemistry, optimisation or materials advantage.Evaluate the scientific observable and current simulation methods. Observation of constructive interference at the edge of quantum ergodicity — Nature, Oct 2025.
Approximate optimisation[D] Annealing comparison on a defined spin-glass ensemble.More than 1,300 error-suppressed logical variables, with a specified classical comparator and approximation criterion.Universal advantage for logistics, finance or every NP-hard problem.Preserve instance distribution, embedding and solution quality. Scaling Advantage in Approximate Optimization with Quantum Annealing — Physical Review Letters, Apr 2025.
Sampling[D] Execution of defined random-circuit benchmarks.Platform-specific register and circuit parameters.Automatic usefulness of the sampled distribution to a customer.Define the downstream use and independently test comparison claims. A 98-qubit trapped-ion quantum computer with all-to-all connectivity — Nature, Jun 2026.
Search[D] Small distributed Grover demonstration; [R] useful-scale execution.Reported distributed-search success of approximately 71%.A speedup for an ordinary database once oracle construction and data access are included.Account for the complete oracle and workflow. Distributed quantum computing across an optical network link — Nature, Feb 2025.
Factoring and discrete logarithmsEstablished algorithmic basis; [R] relevant-scale physical execution.Resources depend on the named cryptographic target and architecture.A physical-qubit headline proves an operational attack.Require complete logical circuit, correction, runtime and success accounting. Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer — Shor, author manuscript, Aug 1995.

4.2 Chemistry: what “beyond exact diagonalisation” means

[D] The Heron–Fugaku study prepares quantum samples and uses distributed classical processing to obtain ground-state energy upper bounds and sparse wavefunction approximations for nitrogen and iron–sulphur systems. Its maximum circuit size is a useful scale marker, but the relevant computational object is the complete hybrid workflow. Chemistry Beyond the Scale of Exact Diagonalization on a Quantum-Centric Supercomputer — Science Advances, Jun 2025.

The phrase “beyond exact diagonalisation” identifies a particular comparison boundary. It should not be expanded into “beyond classical chemistry,” because approximate methods are part of the relevant competition. The application judgment should ask whether the quantum contribution improves a useful accuracy–cost trade-off against those methods.

[D — published numerical analysis] Reinholdt and collaborators identify a tension in quantum-selected configuration interaction: repeated sampling can revisit already selected configurations, while avoiding that problem can produce less compact expansions than classical selection heuristics. Their analysis challenges the practical advantage of the method in the examined cases without invalidating every possible future hybrid chemistry approach. Critical Limitations in Quantum-Selected Configuration Interaction Methods — Journal of Chemical Theory and Computation, Jun 2025. arxiv.org

Chemistry evaluation fieldRecommended specificationWhy it matters
Molecular systemGeometry, charge and electronic state.Defines the physical question.
ModelBasis set, active space and Hamiltonian.Defines the computational approximation.
Target quantityEnergy, difference, barrier or other observable.Determines whether the result is useful.
AccuracyNumerical tolerance and uncertainty.Prevents comparison at unequal quality.
Quantum stageState preparation, circuit and accepted samples.Identifies the processor’s contribution.
Classical stageSelection, recovery, diagonalisation and other processing.Captures hybrid cost.
ComparatorAppropriate contemporary classical methods.Tests incremental value.
Total executionCalibration, sampling, retries and postprocessing.Supports a practical time comparison.
ValidationIndependent reference or defensible error bound.Prevents an internally consistent answer from being mistaken for an accurate one.

Recommended decision rule: retain chemistry pilots when they produce new scientific information or demonstrate a credible route to a better accuracy–cost trade-off. Do not justify production acquisition solely through active-space size.

4.3 Materials and many-body simulation: count the effective problem

[D] The Krylov study demonstrates calculations in specified particle-number sectors, including cases with 56 sites and one particle, 44 sites and three particles, and 42 sites and five particles. These restrictions materially affect the mathematical size. Krylov diagonalization of large many-body Hamiltonians on a quantum processor — Nature Communications, Jun 2025. Nature Communications

The following dimensions are derived calculations, not additional experimental measurements:

dim( ℋ fixed k ) = ( N k ) .
Reported case Full binary state-space dimension Fixed-particle sector dimension Interpretation
56 sites, one particle 256 ≈ 7.21 × 1016 56 The site count greatly exceeds the sector dimension.
44 sites, three particles 244 ≈ 1.76 × 1013 13,244 Particle-number restriction determines the relevant space.
42 sites, five particles 242 ≈ 4.40 × 1012 850,668 The restricted sector is larger, but remains distinct from the full space.

These calculations do not dismiss the experiment. They identify the correct object against which classical difficulty should be assessed. The evaluation should additionally report the Krylov subspace actually constructed, measured observables and accuracy.

A materials application requires another bridge: the simulated Hamiltonian and observable must correspond to a useful materials question. A technically difficult spin-model experiment can have scientific value without yet establishing an industrial materials-design capability.

4.4 Quantum dynamics: difficult observables need bounded claims

[D] The October 2025 study measures second-order out-of-time-order correlators through repeated time-reversal protocols on superconducting hardware. It links the measured interference structure to classical simulation difficulty and includes a Hamiltonian-learning example. This is stronger evidence than a generic claim that “the quantum computer performed a large calculation,” because it identifies the observable and physical mechanism. Observation of constructive interference at the edge of quantum ergodicity — Google Quantum AI and collaborators, Nature, Oct 2025. Nature

The associated application assessment should remain tied to that observable. Extending it to drug discovery, aircraft design or general optimisation would require separate algorithms, error budgets and comparisons. The existence of a hard-to-simulate experiment does not supply those missing demonstrations.

4.5 Optimisation: ensemble, approximation and embedding

[D] The annealing study reports a scaling comparison for approximate optimisation on a defined spin-glass problem family, using quantum annealing correction and a named classical method. Its “logical” variables are error-suppressed annealing variables; they should not be equated with universal fault-tolerant circuit-model qubits. Scaling Advantage in Approximate Optimization with Quantum Annealing — Physical Review Letters, Apr 2025. Phys. Rev. Lett.

QuestionRecommended acceptance requirement
Which problems were tested?Full instance-generation procedure and held-out instances.
What solution quality was required?Objective gap, feasibility and success probability.
How was the problem represented?Variables, interactions, penalties and precision.
What did embedding consume?Physical resources, preprocessing and discarded instances.
Which classical methods competed?Appropriate tuned methods, with disclosed resources.
What time was measured?Complete time to the required valid solution.
Does the result transfer?New evidence on the buyer’s actual problem distribution.

For a logistics or financial pilot, the recommended test should include all operational constraints and the existing production solver. A favourable result on another ensemble should motivate that test, rather than predetermine its outcome.

4.6 Sampling: computational separation and application value

[D] Random-circuit sampling provides evidence about execution of complex quantum circuits and comparison with classical simulation. Its application value depends on an additional question: what useful output does the sampled distribution enable? The Helios paper’s circuit evidence should be evaluated within its stated benchmark before extending it to customer workloads. A 98-qubit trapped-ion quantum computer with all-to-all connectivity — Nature, Jun 2026.

The recommended assessment separates:

QuestionRecord needed
Was the intended distribution generated?Verification protocol, uncertainty and device data.
What classical comparison supports the claim?Methods, resources, precision and comparison date.
What useful task consumes the samples?Named downstream algorithm and measurable benefit.

The first two can establish an important experimental result. The third establishes the basis for an application investment.

4.7 Why classical competition must remain current

[D] The 2023 IBM utility paper studied a 127-qubit processor and compared error-mitigated results with specified classical approaches. Subsequent published classical work provided fast, converged simulations for the experiment. The original quantum measurements remain experimental evidence, while the interpretation of their comparative difficulty changes. Evidence for the utility of quantum computing before fault tolerance — Nature, Jun 2023; Fast and converged classical simulations of evidence for the utility of quantum computing before fault tolerance — Science Advances, Jan 2024; Caltech repository. Nature

Recommended benchmark governance should therefore freeze the problem definition and output tolerance, while allowing the classical methods to improve. A procurement case that depends on prohibiting improved competition is not a durable application case.

4.8 Search: the oracle is part of the computation

The established Grover algorithm gives a quadratic query improvement for its defined search model. [R] Whether that produces a practical advantage depends on constructing and executing the oracle, supplying the data and accounting for repetitions and errors. A fast quantum mechanical algorithm for database search — Grover, author manuscript, May 1996. arxiv.org

[D] The distributed ion experiment demonstrates a remote controlled-Z gate with fidelity 86.2 ± 0.9% and a small Grover search with approximately 71% success. These results establish a distributed-processing experiment. They do not establish acceleration of a large ordinary database. Distributed quantum computing across an optical network link — Nature, Feb 2025.

Search proposal fieldRecommended disclosure
Search spaceNumber and representation of candidates.
PredicateExact test defining an acceptable answer.
OracleCompiled circuit, depth and ancillary resources.
Data accessLoading, updates and access assumptions.
RepetitionsSuccess amplification and failed attempts.
Classical comparisonComplete incumbent workflow.

4.9 Factoring and discrete logarithms: relevance requires complete resources

Shor’s algorithm supplies the algorithmic basis for quantum factoring and discrete logarithms. [R] Relevant-scale physical execution requires a sufficiently reliable architecture and complete resource accounting; the mathematical algorithm alone does not establish a fielded attack. Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer — Shor, Aug 1995 author manuscript. arxiv.org

The cryptanalytic estimates from the opening assessment are not repeated here. Chapter 5 will assess the named schemes and complete attack-resource assumptions. For this chapter, the application acceptance boundary is:

Required fieldWhy it is indispensable
Named cryptographic targetDefines the mathematical problem and parameter size.
Logical registerSeparates algorithm data from physical inventory.
T/Toffoli or equivalent resourcesCaptures non-Clifford demand.
Circuit depth and dependenciesConstrains execution time.
Code and distanceDefines protection assumptions.
Physical overheadIncludes data, ancillas, factories and routing.
Cycle and decoder timingDetermines feasible sustained execution.
Success probabilityAccounts for failure and repetition.
Complete runtimeConnects the architecture to operational relevance.

4.10 Quantitative illustration: errors accumulate

The following is an illustrative calculation, not measured hardware data or a forecast. Assume independent operations, identical failure probability \(p\), no correction and a requirement that all \(G\) operations succeed:\[ P_{\text{no failure}}=(1-p)^G. \]

Assumed failure probability per operationOperationsProbability of no failure
1%10036.6%
1%1,0000.00432%
0.1%1,00036.8%
0.1%10,0000.00452%
0.01%10,00036.8%
0.01%100,0000.00454%

The calculation shows why a high isolated fidelity does not automatically support a deep successful computation. Real devices require richer error models, including correlations, leakage and unequal operations. Error correction changes the analysis; its purpose is to make logical failure compatible with the total workload. Architecture-dependent memory estimates provide a concrete example of that more complete reasoning. High-threshold and low-overhead fault-tolerant quantum memory — Nature, Mar 2024.

4.11 Application claims that should fail the current evidence gate

These are assessment rules for unsupported proposals, rather than statements that the applications can never become feasible.

Proposed claimClassification when unsupportedEvidence needed for reconsideration
“The qubit count proves useful chemistry advantage.”[H]Full molecular model, target accuracy and classical comparison. Chemistry workflow; methods critique.
“A spin-glass result proves faster operational logistics.”[H]Tests on representative logistics instances with all constraints and preprocessing. Annealing study.
“A difficult sampling benchmark proves commercial value.”[H]A downstream task whose benefit depends on those samples. Helios benchmark paper.
“An encoded register is a universal fault-tolerant computer.”[H]Integrated universal operations, repeated correction, throughput and runtime. Logical processor; logical distillation.
“AI control removes hardware reliability requirements.”[H]Sustained logical evidence under the actual physical operating conditions. Reinforcement-learning control.
“Parity measurement establishes scalable protected computation.”[H]Discriminating physical evidence, protection tests and logical execution. Parity-measurement paper.
“A processor announcement establishes a cryptanalytic capability.”[H]Named target, complete logical resources and demonstrated or fully specified execution architecture. Algorithmic basis.

Key judgments

The most defensible computing assessments concern named scientific observables, defined optimisation ensembles and documented hybrid workflows. Problem size should describe the effective mathematical task, rather than only the physical register. Application advantage requires a complete, current comparison, and its validity should remain open to improved classical methods.

What would change the assessment

The decisive evidence would be independent reproduction of a useful workload at the buyer’s required accuracy, with complete elapsed time, accepted-run statistics, classical processing and contemporary comparators. For fault-tolerant applications, it would additionally require the relevant logical operations and resource production to remain reliable throughout execution.

Open official record

The missing records with greatest decision value are full workflow timings, rejected-run costs, effective problem dimensions, independent comparator results and complete logical execution data. The hybrid chemistry study, Krylov study, annealing comparison and published classical re-evaluation provide the starting evidence for those assessments.


Pillar II — Security Migration and Operational Applications

Chapter 5 — Cryptography

5.1. The security decision concerns an entire trust architecture

[P] The principal deployable response to the quantum threat is now anchored in published cryptographic standards: ML-KEM for key encapsulation, ML-DSA for digital signatures and SLH-DSA for stateless hash-based signatures. Their publication establishes interoperable algorithm specifications; it does not certify every product implementing them, migrate an organisation’s certificate hierarchy or establish resistance to implementation attacks.

Sources: NIST, FIPS 203: Module-Lattice-Based Key-Encapsulation Mechanism Standard, FIPS 204: Module-Lattice-Based Digital Signature Standard, and FIPS 205: Stateless Hash-Based Digital Signature Standard, August 2024. CSRC

The recommended assessment unit is therefore the security function and its dependencies. For each function, the owner should identify the initiating endpoint, terminating endpoint, intermediate trust boundaries, algorithm, implementation, replacement authority and expected lifetime.

Security functionQuestion the migration programme should answerRequired completion evidence
Session establishmentCan both endpoints establish a session using the authorised replacement mechanism?Negotiation traces, interoperability results and explicit downgrade tests
Endpoint authenticationDoes the session authenticate the intended peer through a suitable trust chain?Certificate-path tests, revocation behaviour and identity-binding verification
Bulk confidentialityAre payload keys generated, stored, rotated and destroyed appropriately?Key-management design and operational audit
Firmware acceptanceCan an installed device verify new signatures throughout its remaining service life?Tests on deployed bootloaders, recovery paths and update packages
Software distributionCan every build, signing, distribution and installation stage process the new scheme?End-to-end release rehearsal
Archival authenticityCan a future verifier establish what was signed, when and under which trust state?Documented preservation, timestamp and renewal procedures
Recovery and continuityWhat happens when a peer, appliance or certificate is incompatible?Tested recovery procedures and controlled exception handling
Supplier assuranceWho maintains the implementation after initial integration?Versioned support commitments and replacement procedures

Recommended interpretation: migration is complete only when the relevant security service works across its actual operational boundary. An algorithm appearing in a product specification should count as a component milestone, not as evidence that the surrounding service has completed its transition.

5.2. ML-KEM parameters: exact sizes and what they mean

[P] FIPS 203 specifies the following encoded sizes. These are cryptographic objects, not complete TLS handshakes, certificate chains, VPN negotiations or application messages.

Parameter setNIST security categoryEncapsulation keyDecapsulation keyCiphertextShared secret
ML-KEM-5121800 bytes1,632 bytes768 bytes32 bytes
ML-KEM-76831,184 bytes2,400 bytes1,088 bytes32 bytes
ML-KEM-102451,568 bytes3,168 bytes1,568 bytes32 bytes

[P] NIST identifies ML-KEM-768 as its general default recommendation in the standard. That recommendation should not be substituted for a specialised national-security profile or a jurisdiction-specific requirement.

Source: NIST, FIPS 203, Table 3 and parameter-selection guidance, August 2024. nvlpubs.nist.gov

For transport planning, the following arithmetic is useful, provided its scope remains explicit:

Illustrative object exchangeCalculationEncoded bytes
ML-KEM-512 public key plus ciphertext800 + 7681,568
ML-KEM-768 public key plus ciphertext1,184 + 1,0882,272
ML-KEM-1024 public key plus ciphertext1,568 + 1,5683,136

These totals are derived from FIPS 203, not measured network traffic. A real protocol may transmit these objects in different messages, reuse keys, add a classical component, include certificates or introduce additional framing.

The recommended performance assessment should distinguish five quantities:

  1. Encoded object size, determined by the selected algorithm and parameter set.
  2. Protocol message size, determined by how the objects are packaged.
  3. Computation time, measured on the actual processor and implementation.
  4. Network completion time, measured under relevant loss, congestion and connection patterns.
  5. Service impact, measured as successful transactions, failed negotiations and recovery time.

A larger cryptographic object does not establish a proportional increase in transaction latency. Conversely, acceptable primitive-level benchmarks do not establish acceptable behaviour on a constrained appliance or a lossy communications path.

5.3. Signature parameters: the migration has a different bottleneck

[P] FIPS 204 specifies three ML-DSA parameter sets:

Parameter setNIST security categoryPublic keyPrivate keySignature
ML-DSA-4421,312 bytes2,560 bytes2,420 bytes
ML-DSA-6531,952 bytes4,032 bytes3,309 bytes
ML-DSA-8752,592 bytes4,896 bytes4,627 bytes

Source: NIST, FIPS 204, Table 2, August 2024. nvlpubs.nist.gov

[P] FIPS 205 provides SHA2-based and SHAKE-based variants with the following public-key and signature sizes:

SLH-DSA parameter suffixNIST security categoryPublic keySignature
128s132 bytes7,856 bytes
128f132 bytes17,088 bytes
192s348 bytes16,224 bytes
192f348 bytes35,664 bytes
256s564 bytes29,792 bytes
256f564 bytes49,856 bytes

The listed sizes apply to both hash-family variants for each suffix. Small public keys should not be confused with small signed objects.

Source: NIST, FIPS 205, parameter table, August 2024. nvlpubs.nist.gov

Recommended assessment: treat signature migration as a separate workstream from session establishment. Its acceptance environment includes certificate parsers, update-package formats, verification memory, hardware roots of trust and the installed equipment estate.

Signature-bearing systemProposed testDecision the test should support
Certificate hierarchyValidate complete paths with realistic chain lengthsWhether the existing identity infrastructure can support the chosen profile
Embedded firmwareVerify representative packages on the oldest supported devicesWhether software updates suffice or hardware replacement is necessary
Secure bootExercise acceptance, rejection and recovery pathsWhether migration can preserve the device’s trust boundary
High-volume signing serviceMeasure throughput and tail latency under peak demandWhether signing infrastructure needs additional capacity
Offline verifierTest updates without continuous network accessWhether disconnected operations can sustain the replacement trust model
Long-lived signed recordRehearse future verification and trust renewalWhether archival procedures preserve evidentiary value

For an acquisition authority, the difficult question is often whether the installed verifier can be changed safely. Funding a new signing server does not resolve an immutable verifier in equipment expected to remain in service.

5.4. Algorithm diversity and the status of HQC

[P] NIST selected HQC in March 2025 for subsequent standardisation as a backup key-encapsulation mechanism using a different mathematical foundation from ML-KEM. [R] The selection announcement described a prospective final standard in 2027. Selection, a draft and a final standard are separate milestones.

The source does not justify describing HQC as a replacement already required across deployed systems, or postponing migration to the completed standards while waiting for it.

Source: NIST, NIST Selects HQC as Fifth Algorithm for Post-Quantum Encryption, March 2025. Here, the announcement’s “encryption” terminology refers specifically to a key-encapsulation mechanism. NIST

Recommended control: maintain algorithm diversity through replaceable implementations, documented interfaces and tested transition procedures. Adding multiple algorithms without a coherent negotiation and authentication design should not count as improved assurance.

A useful procurement requirement is consequently more demanding than “supports PQC.” It should specify:

  • The exact algorithm, parameter set and protocol profile.
  • The implementation version and applicable validation evidence.
  • The mechanism for updating the implementation.
  • The supported peer configurations.
  • The treatment of incompatible peers and downgrade attempts.
  • The operational owner responsible for replacement if an algorithm or implementation is retired.

5.5. Hybrid migration: assurance depends on composition

[P] ANSSI’s follow-up migration guidance supports hybrid approaches and discusses composition requirements. For key establishment, combining mechanisms requires an appropriate construction; for combined signatures, accepting either signature is not equivalent to requiring both. The intended assurance depends on the combiner and verification rule.

Source: ANSSI, Avis sur la migration vers la cryptographie post-quantique — follow-up guidance, 2023 follow-up, official portal publication January 2024. messervices.cyber.gouv.fr

The recommended assurance review should answer the following questions before approving a hybrid deployment:

Review areaRequired question
Key combinationWhat is the security argument for the combiner?
AuthenticationWhich mechanism authenticates the peer and negotiated configuration?
Transcript bindingAre identities, algorithms and negotiation results bound into the authenticated exchange?
Downgrade handlingCan an active intermediary induce a weaker configuration?
Signature acceptanceMust every required signature verify, or can one alone authorise acceptance?
Error handlingDo malformed inputs expose secrets, distinguish internal failures or trigger unsafe fallback?
Legacy compatibilityWhich peers remain outside the intended assurance model?
Operational evidenceCan administrators prove which mechanism protected a particular session or signed object?

[H] “Hybrid” should be rejected as an assurance conclusion when the seller cannot identify the construction and its acceptance rules. The label describes a combination; it does not supply a security proof.

5.6. Confidentiality lifetime and signature lifetime require different clocks

[P] The multinational ANSSI–BSI–NLNCSA–Swedish position paper explicitly recognises the store-now-decrypt-later problem: intercepted material can remain sensitive beyond the period during which its original public-key protection is expected to be adequate. This is a reason to assess retained information now; it is not evidence that an adversary currently possesses a cryptographically relevant quantum computer.

Source: ANSSI, BSI, NLNCSA and Swedish NCSA, Position Paper over Quantum Key Distribution, January 2024. aivd.nl

For planning, define:\[ L=\text{remaining confidentiality lifetime},\qquad M=\text{migration duration},\qquad Q=\text{assumed time until a relevant adversarial capability}. \]

The inequality\[ L+M\geq Q \]

is a scenario-screening rule, not a prediction. It asks whether a chosen scenario leaves enough time to complete migration before newly exposed information outlives the assumed protection horizon.

For illustration only, if an organisation requires ten further years of confidentiality and assumes three years to migrate, its exposure assessment spans thirteen years. This arithmetic establishes no date for the arrival of a quantum computer.

Signature risk should be screened differently. The owner should ask how long equipment will continue accepting a particular signing authority, whether the verifier can be updated, and what procedures preserve the authenticity of historical records.

Planning clockExposure being assessedRecommended response
Confidentiality lifetimeFuture recovery of information captured during the vulnerable periodPrioritise exposed, long-lived secrets and their key-establishment paths
Equipment service lifeFuture acceptance of unauthorised software or commandsAssess verifier replacement and firmware trust transitions
Certificate lifetimeContinued reliance on a retiring trust hierarchyPlan issuance, validation and revocation changes
Archival verification lifetimeFuture inability to establish the authenticity of a historical objectDefine preservation and renewal procedures
Migration durationTime needed to replace dependencies and incompatible equipmentBegin discovery before selecting a universal completion date

5.7. A resource estimate is not a demonstrated cryptanalytic service

[R] A published 2017 logical-circuit study estimated the resources below for an elliptic-curve discrete-logarithm computation against NIST P-256. It is a historical model of a particular circuit construction, not a current minimum and not an attack executed on quantum hardware.

Quantum Resource Estimation: NIST P-256 Discrete Logarithm

Logical fault-tolerant resource requirements based on modular arithmetic synthesis and reversible circuit compilation.

Required resource field What the cited P-256 study supplies
Named target Elliptic-curve discrete logarithm over P-256
Logical qubits 2,330
Toffoli count Approximately 1.26 × 1011
Toffoli depth Approximately 1.16 × 1011
Error-correcting code and distance No complete physical implementation specified
Physical-qubit overhead No complete physical implementation specified
Fault-tolerant wall-clock runtime Not established by these logical counts
Demonstration status Circuit construction and classical verification of arithmetic components
NOTA ARCHITETTURALE: I conteggi logici sopra riportati quantificano la complessità aritmetica astratta. La conversione in qubit fisici e tempo reale dipende dall’architettura hardware (superconduttori, ioni intrappolati), dalla velocità dei cicli di stabilizzazione e dalle fabbriche di stati magici (Magic State Distillation).

Source: Roetteler, Naehrig, Svore and Lauter, Quantum resource estimates for computing elliptic curve discrete logarithms, ASIACRYPT 2017, Table 2. arxiv.org


Technical Analysis and Architectural Deconstruction of Parameters

Evaluating physical footprint, fault-tolerant overhead, and circuit depth for the cryptanalysis of elliptic curve cryptography.

The data summarized in the reference table belongs to the foundational literature on quantum cryptanalysis applied to elliptic curve public-key cryptosystems, specifically the NIST P-256 standard (also designated as secp256r1 or prime256v1). This elliptic curve underpins the cryptographic security of widespread modern communication standards, including TLS 1.3, X.509 PKI certificates, SSH sessions, digital identity frameworks, and standard ECDSA / Ed25519 signature schemes (with close structural analogy to the secp256k1 curve utilized in Bitcoin).

Deconstructing each operational parameter allows us to quantify with rigorous physical precision how far current experimental prototypes remain from realizing Cryptographically Relevant Quantum Computers (CRQCs) capable of breaking asymmetric public-key infrastructure.

1. The Target Problem: Elliptic-Curve Discrete Logarithm Problem (ECDLP) over P-256

In cryptographic schemes parameterized over prime fields, the abelian group of affine points on a non-singular elliptic curve is governed by the short Weierstrass model:

y2 ≡ x3 − 3x + b   (mod p)

For the specific NIST P-256 specification, the characteristic modulus p is the generalized 256-bit Mersenne prime:

p = 2256 − 2224 + 2192 + 296 − 1

Given a fixed generator base point G ∈ E(Fp) of prime order n and a published public key point Q = d · G (where scalar multiplication denotes repeated point addition over the chord-and-tangent group law), the Elliptic Curve Discrete Logarithm Problem (ECDLP) consists of computing the private scalar exponent:

d ∈ [1, n − 1]
  • Classical Computational Complexity: The most efficient generic classical attacks—such as Pollard’s ρ algorithm and the parallelized Pollard lambda collision search—exhibit fully exponential asymptotic complexity bounded by O(√n). For an underlying 256-bit prime modulus, evaluating this space requires approximately 2128 point additions, defining a robust classical security threshold of 128 bits.
  • Quantum Complexity via Shor’s Reduction: Shor’s algorithm reduces ECDLP to an instance of the Hidden Subgroup Problem (HSP) over the finite abelian product group Zn × Zn. By evaluating quantum phase estimation over a two-dimensional period, Shor collapses the computational complexity from exponential to strictly polynomial time: Õ(n3) or Õ(n2), depending on whether modular arithmetic is synthesized using ripple-carry or carry-lookahead architectures.

2. Logical Qubit Requirements: 2,330 Qubits

A logical qubit represents an ideal, fault-tolerant macroscopic quantum state synthesized across an ensemble of physical qubits protected by quantum error correction (QEC) codes. The benchmark of 2,330 logical qubits to resolve the P-256 discrete logarithm reflects several decades of compiler optimization and register reallocation:

  • Early Shor Formulations: Canonical formulations of Shor’s algorithm required two distinct operational registers to execute the Quantum Fourier Transform (QFT) spanning 2 × ⌈log2 n⌉ ≈ 512 qubits, alongside dedicated auxiliary work registers for point arithmetic in projective coordinates (X : Y : Z). Early implementations consequently required between 5,000 and 9,000 logical qubits.
  • The Ekerå-Håstad Algorithmic Paradigm: By leveraging semi-classical phase estimation alongside short-period modifications developed by Martin Ekerå and Johan Håstad, modern implementations replace wide parallel QFT registers with iterative single-qubit semiclassical readouts. Combined with space-optimized reversible modular adders (such as Cuccaro ripple-carry networks and Montgomery inversion circuits refined by Roetteler, Naehrig, Svore, Lauter, Litinski, and Gidney), circuit designers successfully compressed spatial demands down to:
    • Base coordinate registers representing field elements in Fp (256 logical qubits per coordinate register).
    • Reversible modular multiplication and inversion ancilla pools.
    • Clean uncomputation registers that dynamically recycle intermediate values, entirely preventing the persistent accumulation of dirty “garbage bits.”

3. Toffoli Count: ≈ 1.26 × 1011 and the Dominant Cost of Non-Clifford Gates

In fault-tolerant quantum computation, gates are divided into two operational classes: transversal operations within the Clifford group (X, Y, Z, H, S, and CNOT) and non-Clifford operations, represented by either the single-qubit T gate (where T = diag(1, eiπ/4)) or the three-qubit Toffoli (Controlled-Controlled-NOT) gate.

  • The Eastin-Knill Restriction: The Eastin-Knill Theorem proves that no quantum error-correcting code can realize a continuous, universal gate set using exclusively transversal operations. While Clifford gates are executed with low latency using topological braid operations or lattice surgery in standard 2D surface codes, non-Clifford gates cannot be implemented natively on logical codewords.
  • Toffoli Decomposition via Magic State Distillation: To execute a Toffoli gate without destroying code distance, the processor must inject high-fidelity resource states known as magic states:
    |T⟩ = cos(π/8)|0⟩ + sin(π/8)|1⟩
    Synthesizing a single Toffoli gate requires decomposing it into 4 T gates (with auxiliary measurement lines) or 7 T gates in unassisted layouts.
  • Cumulative Computational Footprint: An aggregate count of ≈ 1.26 × 1011 Toffoli gates indicates that an attacking quantum processor must reliably distill and inject over half a trillion magic states (4 × 1.26 × 1011 ≈ 5.04 × 1011 |T⟩ states). In any physical surface-code architecture, magic state distillation factories account for over 90% of the entire hardware footprint and energy consumption.

4. Toffoli Depth: ≈ 1.16 × 1011 and Circuit Critical Path Serialization

While the total gate count dictates total computational energy, the Toffoli depth dictates the absolute minimum execution latency by defining the longest serial dependency chain of gates that cannot be evaluated in parallel:

Toffoli Depth ≈ 1.16 × 1011

The fact that the depth (1.16 × 1011) is nearly identical to the overall count (1.26 × 1011)—representing a serial occupancy ratio exceeding 92%—highlights the core architectural bottleneck of quantum cryptanalysis on elliptic curves:

  • Point multiplication k · G proceeds through deeply serialized chains of elliptic point doubling and additions (P ← 2P and P ← P + Gi).
  • Each point addition necessitates field inversion and modular multiplication over Fp, which rely on arithmetic carry chains that enforce linear sequential execution.
  • Architectural Consequence: Even if a quantum supercomputer were provisioned with millions of additional data qubits, Amdahl’s law prevents parallelization. The execution time of an attack on P-256 is entirely bounded by the sequential execution speed of these 1.16 × 1011 serialized Toffoli layers.

5. Error-Correcting Code and Code Distance (d): Why Specifications Are Hardware-Agnostic

The classification “No complete physical implementation specified” reflects the standard methodological boundary between high-level logical circuit compilation and physical microarchitecture implementation:

  • Algorithmic synthesis papers optimize reversible Boolean networks to minimize abstract logical costs without anchoring calculations to a specific hardware family.
  • Establishing code distance d requires defining both the physical error rate per native gate (pphys) and the maximum allowable total algorithm failure probability (Ptarget):
    Ptarget ≈ 1 − (1 − Plogical)N ≈ N · Plogical
    For an attack executing N ≈ 1011 to 1012 total gate operations with an overall target success rate > 50%, the per-gate logical failure rate must be suppressed to:
    Plogical ≤ 0.5 / 1012 = 5 × 10−13

Under standard 2D rotated surface codes operating with physical error rates pphys ≈ 10−3 (well beneath the approximate 1% fault tolerance threshold), suppressing errors to 10−13 requires a code distance between d = 27 and d = 31.

6. Physical Qubit Overhead: From Abstract Theory to Hardware Scaling

Physical overhead quantifies the number of raw physical qubits (e.g., superconducting Josephson junctions, trapped ions, or neutral Rydberg atoms) required to protect a single logical qubit against decoherence:

In rotated surface codes, spatial qubit allocation scales quadratically with distance:

nphys = 2 · d2 − 1   (or ≈ 2d2)
  • Selecting a conservative distance d = 27 yields: 2 × (27)2 = 1,458 physical qubits per logical qubit.
  • Multiplying this across the 2,330 logical data qubits gives: 2,330 × 1,458 ≈ 3.4 × 106 physical qubits purely dedicated to data memory and arithmetic routing.
  • Magic State Factory Scaling: Continuous distillation using 15-to-1 schemes or multi-tier Bravyi-Kitaev pipelines introduces substantial footprint demands. To supply a steady stream of T states to the execution pipeline without starvation stalls, distillation modules require an additional 1 to 5 million physical qubits.
Aggregate Physical Scale: A realistic fault-tolerant deployment tasked with executing this attack requires between 4 million and 10 million physical qubits operated with near-threshold fidelity.

7. Real Runtime (Fault-Tolerant Wall-Clock Latency)

Physical runtime cannot be derived from logical gate counts alone without specifying the hardware cycle frequency of the Quantum Error Correction (QEC) stabilization loop:

  • Superconducting Circuits (e.g., Transmon Qubits): Stabilizer syndrome measurement cycles execute within 200 ns to 1 μs. Executing a logical operation via lattice surgery over distance d = 27 requires d stabilizer rounds (≈ 27 μs). Multiplying this latency across a critical path of 1.16 × 1011 sequential cycles establishes a continuous wall-clock runtime ranging from several days to roughly 3 to 4 weeks.
  • Trapped-Ion and Neutral-Atom Processors: These architectures exhibit superior physical gate fidelities (allowing lower code distances d), but their physical two-qubit gate operations and fluorescence detection cycles are significantly slower (spanning hundreds of microseconds to milliseconds). Executing 1011 sequential operations on slow-cycle platforms results in runtimes spanning decades to centuries, rendering serial attacks infeasible on those modalities absent substantial algorithmic parallelization.

8. Demonstration Status: Circuit Construction and Classical Verification

The formal status designation “Circuit construction and classical verification of arithmetic components” precisely defines the Technology Readiness Level (TRL) of current research:

  • Circuit Construction: The complete gate topology (CNOT, Toffoli, Hadamard, and phase rotations) has been synthetically constructed down to the exact gate level, including reversible Montgomery point adders and modular inversion circuits.
  • Classical Verification: Because no quantum computer with thousands of logical qubits exists today, the end-to-end circuit has never executed on physical quantum processors. Instead, arithmetic subcomponents (e.g., 256-bit modular reversible adders and lookup tables) are formally verified on classical supercomputers using Binary Decision Diagrams (BDDs) and stabilizer simulation frameworks.

Scalability Comparison: Elliptic Curves (ECDLP) vs. RSA Factorization

Comparing the resource profiles of NIST P-256 against RSA-2048 reveals how distinct cryptographic hardness assumptions stress physical quantum hardware in opposing dimensions:

Cryptographic Parameter NIST P-256 (ECDLP) RSA-2048 (Factoring) Key Architectural Difference
Classical Security Level 128-bit 112-bit P-256 provides higher resistance against classical algorithms.
Required Logical Qubits ≈ 2,330 ≈ 4,096 P-256 requires nearly half the logical memory space of RSA-2048.
Toffoli Gate Count ≈ 1.26 × 1011 ≈ 2.9 × 109 RSA requires nearly two orders of magnitude fewer Toffoli operations.
Circuit Depth Extremely High (≈ 1.16 × 1011) Lower & Parallelizable Elliptic curve point operations are strictly serialized along carry paths.
Physical Hardware Impact Requires fewer qubits, but extreme coherence times. Requires more qubits, but finishes in far less real time. The two targets stress quantum architectures in opposite dimensions.

[H] Interpreting the table as evidence that a processor containing 2,330 physical qubits can recover a P-256 private key is a category error. The physical architecture, logical error budget, non-Clifford implementation and execution schedule are unresolved in that translation.

Recommended reporting rule: any newer attack estimate should replace the complete resource row, including its assumptions. A reduced logical-qubit count should not be reported as a reduced operational attack cost unless the associated gate count, error correction, physical resources and runtime have also been assessed.

5.8. Symmetric cryptography should not inherit the RSA/ECC risk model

[R] NIST’s PQC FAQ cautions against translating Grover’s theoretical query reduction directly into a practical attack estimate. It discusses sequential execution costs and the limited benefit of parallelisation, and permits continued use of AES-128, AES-192 and AES-256 subject to applicable guidance.

Source: NIST, Post-Quantum Cryptography FAQs, maintained page, retrieved October 2026. CSRC

[H] “Quantum computers halve every key length” is an inadequate security statement. It suppresses the attack model, reversible implementation, error-correction cost and elapsed time.

Recommended control: select symmetric parameters through the applicable security profile, confidentiality horizon and implementation environment. For new systems protecting long-lived secrets, AES-256 can be considered within that profile; it should not be presented as a substitute for migrating vulnerable public-key establishment or signature functions.

Proposed assessmentEvidence to require
Adequacy of a symmetric parameter setApplicable policy and a named attack model
Quality of key managementGeneration, storage, rotation, access and destruction procedures
Adequacy of session establishmentEvidence that payload keys are not exposed through an obsolete establishment mechanism
Integrity protectionCorrect authenticated-encryption or message-authentication implementation
Long-term storage protectionProtection of wrapping keys, backups and recovery copies

5.9. QKD: physical key distribution and system assurance remain separate questions

[P] NSA’s published position states:

“NSA does not recommend the usage of quantum key distribution and quantum cryptography for securing the transmission of data in National Security Systems (NSS)”

The position retains a condition: the identified limitations would need to be overcome. NSA identifies missing source authentication, specialised infrastructure, trusted-relay exposure, implementation-validation difficulties and denial-of-service risk. This is a scoped position on national-security systems, not a denial that QKD experiments produce keys.

Source: NSA, Post-Quantum Cybersecurity Resources — QKD and quantum-cryptography guidance, maintained institutional guidance, retrieved October 2026. nsa.gov

[P] ANSSI’s QKD guidance allows consideration of a limited niche involving fixed optical links and defence in depth, while favouring PQC for broad modern-system migration. It warns against allowing QKD expenditure to displace more immediate cybersecurity work.

Source: ANSSI, Should Quantum Key Distribution be Used for Secure Communications?, May 2020. MesServicesCyber

[P] The January 2024 joint European position prioritises PQC and suitable symmetric-key approaches, and identifies practical assurance work still required for QKD protocols and devices. Its discussion includes finite-key security, physical attacks and evaluation methods. It also recognises existing ISO/IEC evaluation standards and BSI-supported protection-profile work; standards activity should therefore be distinguished from certification of a particular installed network.

Source: ANSSI, BSI, NLNCSA and Swedish NCSA, Joint position paper, official Dutch publication, January 2024. aivd.nl

The recommended QKD acquisition review should examine the following boundaries:

Assurance boundaryRequired evidence before acceptance
Peer identityHow the classical channel is authenticated
Device modelWhich source, detector and calibration assumptions underpin the proof
Finite-key operationSecurity parameters for the actual block sizes and operating conditions
Intermediate nodesWhich locations must remain trusted and physically protected
Payload protectionWhether keys feed AES or another specified mechanism
AvailabilityBehaviour under fibre interruption, optical disturbance and key exhaustion
MaintenanceHow firmware, calibration and defective components are replaced
Endpoint securityHow plaintext and keys are protected after delivery
AccreditationThe authority, evaluation scope and approved configuration

[H] A claim of an “unhackable link” should be retired when it substitutes a protocol-level theoretical property for evidence covering these boundaries.

5.10. QSDC and quantum networks: measured results, bounded interpretations

[D] A 2022 quantum-secure direct communication experiment reported the following results using time-bin and phase states:

Experimental configurationReported lossReported secure communication rate
30 km commercial fibre6 dB22.4 kbit/s
100 km ultralow-loss fibre15.8 dB0.54 bit/s

The protocol carries information through a quantum communication construction rather than merely distributing keys. These results establish operation under the paper’s conditions; they do not establish a general-purpose replacement for high-throughput communications.

Source: Long and colleagues, Realization of quantum secure direct communication over 100 km fiber with time-bin and phase quantum states, Light: Science & Applications, April 2022. PMC

[D] A separate 2024 experiment entangled diamond-based quantum-memory nodes through a 35 km deployed telecom fibre loop, reporting nuclear-spin Bell-state fidelity of 0.69(7) after error detection. Fibre-path length should not be recast as straight-line separation between the nodes.

Source: Knaut and colleagues, Entanglement of nanophotonic quantum memory nodes in a telecom network, Nature, May 2024. Nature

Recommended interpretation: assess three different deliverables separately:

DeliverableAppropriate acceptance question
QKD key serviceDoes the installed system deliver usable keys with the required assurance and availability?
QSDC communication serviceDoes the protocol provide the required protected payload rate under its stated assumptions?
Memory-based quantum networkCan nodes establish, retain and use entanglement across the intended architecture?

[H] Evidence for one deliverable does not establish the other two. In particular, a long trusted-node QKD route is not evidence of a memory-based quantum repeater network.

5.11. Migration governance: the instrument and its scope matter

[P] The June 2026 US executive order introduces differentiated requirements and prospective implementation actions:

ProvisionSpecified action or targetScope distinction
Section 4(b)OMB guidance requiring PQC key establishment by 31 December 2030Federal HVAs and high-impact systems; excludes NSS
Section 4(b)PQC digital signatures by 31 December 2031Same specified system categories
Section 4(c)NIST migration pilot completed by 31 December 2027Appropriate subset of NIST systems
Section 5(c)NSA migration reporting within 180 days and annually thereafterSeparate national-security-system reporting path
Section 5(d)Public cryptographic-bill-of-materials guidance within 270 daysCISA-led guidance action
Section 6(c)Proposed FAR rule within 180 days, addressing covered-contractor compliance by 2030Direction to propose a rule, not evidence of an already effective contract clause

Source: White House, Executive Order 14412: Securing the Nation Against Advanced Cryptographic Attacks, June 2026. The White House

[P] The European Commission’s coordinated roadmap provides a framework for member-state transition planning. It should be read as a coordination instrument, with implementation responsibilities assessed through the relevant national authorities.

Source: European Commission, Una tabella di marcia coordinata per l’attuazione della transizione alla crittografia post-quantistica, June 2025, page updated September 2026. Plasmare il futuro digitale dell’Europa

[P] NCSC’s migration guidance describes discovery and planning as substantial work, potentially taking two to three years in large organisations. That supports beginning dependency discovery early; it does not establish an identical project duration for every owner.

Source: UK NCSC, Timelines for migration to post-quantum cryptography, March 2025. National Cyber Security Centre

Recommended governance rule: keep an instrument register recording jurisdiction, system category, issuing authority, binding status, implementation milestones and permitted exceptions. A deadline without its scope should not enter an acquisition specification.

5.12. Asset-class decision table

The following is a recommended decision framework, not a claim that every organisation has the same secrecy periods or legal obligations. Lifetimes must be supplied by the information and system owners.

Asset classLifetime to establishMigration priorityRecommended controlQKD consideration
Intelligence identities and relationshipsPeriod during which disclosure can endanger people or operationsHighest where exposed traffic carries enduring secretsApproved PQC or symmetric arrangements; reduce unnecessary retained copiesOnly within an explicitly authorised threat model
Genomic and longitudinal health recordsRemaining period of personal and institutional sensitivityHigh where records or transfers have long retentionPQC establishment, suitable symmetric protection and storage-key governanceRequires a specific fixed-link justification
Strategic research and industrial designsRemaining commercial or strategic valueHigh for valuable material exposed across organisational boundariesPQC transfer paths and protected archival keysPossible additional control on a bounded link
Firmware roots of trustRemaining equipment lifeHigh for devices with difficult or immutable verifier replacementSignature migration or hardware replacement planDoes not replace firmware-signature work
Payment infrastructureTransaction security and infrastructure service lifeHigh because transition must preserve continuityPQC signatures and establishment with interoperability testingDoes not replace signature migration
Critical-infrastructure administrationService life and consequences of unauthorised controlHigh where cryptographic dependencies support remote administrationApproved migration, segmentation and controlled recoveryAssess only as a supplementary channel
Routine short-lived sessionsActual sensitivity beyond session completionPrioritise through exposure and policySupported PQC protocol implementationRequires evidence of additional value
Fixed inter-site linksInformation lifetime and accepted endpoint/node trustCase-specificPQC and authenticated symmetric payload protectionConsider only after assurance and availability review
Offline archivesRetention and future verification requirementsSeparate confidentiality and authenticity assessmentsKey rewrapping, preservation and trust-renewal proceduresDoes not resolve offline archival verification

5.13. AI-assisted cryptanalysis: assess the named scheme

[C] NIST’s maintained PQC page reports a July 2026 announcement that an AI model helped identify a vulnerability in the candidate signature scheme HAWK. [P] It records the candidate’s subsequent withdrawal. NIST explicitly states that this finding does not affect its finalised ML-KEM and ML-DSA standards.

Source: NIST, Post-quantum cryptography — current standards and HAWK notice, notice concerning July 2026, retrieved October 2026. NIST

Recommended interpretation: demand the attacked scheme, parameter set, vulnerability class, reproducibility and attack cost. An algorithmic weakness, a coding error and a side-channel attack should produce different corrective actions.

[H] “AI has broken PQC” is an unsupported generalisation when the evidence concerns one named candidate or implementation. The appropriate institutional response is to review the affected dependency and preserve replacement capability.

Chapter 5 — Key judgments

  • [P] Completed standards provide an actionable migration foundation, while deployment assurance remains a separate obligation. The decision changed is whether to begin integration work now. See NIST FIPS 203.
  • [P] Agency positions support broad PQC migration and impose substantial qualifications on QKD use. The decision changed is whether a proposed QKD acquisition can satisfy the owner’s actual assurance requirements. See NSA’s scoped position.
  • [R] Logical-circuit estimates establish conditional computational requirements, not a functioning adversarial service. The decision changed is how to report cryptanalytic risk without equating physical-qubit counts with attack capability. See the P-256 resource study.

What would change the assessment

A reproducible attack against a finalised scheme at relevant parameters; an implementation vulnerability affecting a widely deployed product; a complete physical attack estimate with validated error-correction assumptions; or a QKD deployment demonstrating assurance and continuity adequate for the relevant authority.

Open official record

The important unresolved questions concern inventory completeness, installed-verifier replacement, implementation validation, exception management and independently audited migration completion. The instruments cited above do not establish that their covered organisations have already completed those tasks.

Chapter 6 — Civilian Uses That Are Real

6.1. Civilian evidence should be evaluated at the level of the named service

Recommended assessment: distinguish scientific performance, integration into an existing workflow and evidence that the workflow produces a useful operational outcome. A sector partnership should enter the register as a partnership; a hardware experiment as an experiment; and an accredited service only when its authorisation and operating scope are documented.

Civilian applicationNamed evidenceTechnical readiness assessmentInstitutional readiness assessment
Payment-system PQCBIS Project Leap phase 2Integrated pilot in an operating payment environmentCentral-bank and infrastructure-owner participation
Metropolitan QKD serviceToshiba–BT trial involving HSBCNamed service trial; technical assurance requires separate evidenceCommercial operator and named customer
Pharmaceutical computationIBM–Moderna mRNA studyHardware research experimentResearch collaboration; no clinical-service conclusion
Utility communicationsPublished trusted-node QKD experimentLimited field demonstration on utility fibreResearch and utility integration
Airborne gravity surveyingGIRAFE/iMAR Iceland–Greenland campaignField experiment with classical comparisonScientific survey programme
Biomedical sensingWearable optically pumped MEGIntegrated human research prototypeResearch use; accreditation not established by the paper
Magnetic navigationApril 2025 author preprintAuthor-reported airborne and ground trialsDevelopment activity; operational authorisation not established
Time metrologyPTB realisation and dissemination of the secondEstablished atomic-metrology functionStatutory national-metrology responsibility

The supporting records and limitations are examined below. These classifications should not be read as official technology-readiness-level assignments.

6.2. Finance: migration testing has a clearer operational purpose than a generic quantum-computing pilot

[P] Project Leap phase 2 involved the BIS Innovation Hub, Banca d’Italia, Banque de France, Deutsche Bundesbank and infrastructure participants. [C] Its December 2025 report describes testing PQC signatures in an operational payment system while sending liquidity transfers, and reports integration and performance differences requiring attention.

The evidence is significant because the experiment addresses a concrete security function inside payment infrastructure. It does not establish system-wide production migration or quantum-computing advantage in financial optimisation.

Source: BIS Innovation Hub, Project Leap phase 2: quantum-proofing payment systems, December 2025. “Quantum-proofing” here means migration to post-quantum cryptography. bis.org

Recommended next-stage financial assessment:

Test areaMeasurement to requestAcceptance purpose
Transaction completionSuccess and failure rates under representative loadEstablish continuity of the payment service
Signature verificationMedian and tail latency on each receiving platformDetect heterogeneous implementation bottlenecks
Message handlingActual signed-message sizes and parser behaviourIdentify incompatible interfaces
Peak demandThroughput during stress periodsEstablish capacity requirements
RecoveryBehaviour after partial upgrade or signing-service failureEstablish controlled continuity
Participant interoperabilityResults across institutions and implementationsAvoid a pilot that works only within one configuration
AuditabilityAbility to reconstruct algorithm and key usePreserve security accountability

The recommended financial decision is to expand bounded migration pilots into representative operational testing. Claims about portfolio optimisation, pricing or settlement acceleration should require their own computational evidence and should not inherit credibility from a successful cryptographic trial.

6.3. Telecom: service availability, security assurance and quantum networking are different deliverables

[C] Toshiba’s Japanese-language announcement identifies HSBC as a participant in the Toshiba–BT metropolitan QKD commercial trial service in London. The announcement describes a named operator, customer and fibre-based service arrangement. It does not independently establish every security or availability property of the installed service.

Source: Toshiba, 東芝とBTによる量子暗号通信の商用メトロネットワークのトライアルサービスに金融大手HSBCが参画, July 2023. The mechanism is QKD supplying cryptographic keys. 東芝デジタルソリューションズ

Recommended operator evidence package:

Service dimensionRequired documentation
Physical routeActual optical path, attenuation, permitted switching and maintenance conditions
Key deliveryDelivered secret-key rate, buffer behaviour and exhaustion policy
Customer isolationSeparation of key material and management interfaces
Endpoint trustProtection of key-management systems and customer encryptors
Intermediate trustNamed trusted nodes and their protection requirements
AvailabilityScheduled maintenance, failure modes and recovery results
Security evaluationApplicable protocol proof and installed-device assessment
Commercial supportReplacement times, spares, software support and liability allocation

The recommended purchasing question is whether the additional key service improves the customer’s defined assurance case at an acceptable operational cost. It should not be reduced to whether the operator can use the word “quantum” in a service description.

6.4. Pharma: hardware experiments should retain their actual problem size

[D] The IBM–Moderna mRNA secondary-structure study, recorded as a QCE 2025 conference paper, reports IBM hardware experiments using up to 156 qubits and 950 nonlocal gates for sequences up to 60 nucleotides. Its workflow combines quantum sampling with classical training or post-processing.

[C] The publication record describes noiseless tensor-network simulations up to 358 qubits, while the May 2025 preprint states 354 qubits. These are separately versioned simulation statements, not a larger hardware experiment.

Sources: IBM Research, Towards secondary structure prediction of longer mRNA sequences using a quantum-centric optimization scheme, August 2025; and May 2025 author preprint. IBM Research

Evidence itemClassificationPermitted interpretation
Quantum-processor experiment[D]The stated hybrid workflow ran at the reported hardware scale
Noiseless tensor-network calculation[C], reported simulationA classical simulation explored a larger representation
Biological usefulness[R], further validation requiredMust be assessed against experimentally relevant structure and function
Clinical benefit[R], not established hereRequires evidence connecting the workflow to a therapeutic outcome
General drug-discovery acceleration[H] if inferred from this experiment aloneExceeds the demonstrated task and problem size

Recommended continuation: require competitive classical baselines, full elapsed workflow time, sampling costs, reproducibility and biological validation. The research question is whether the quantum component improves a relevant endpoint once the entire hybrid process is counted.

Proposed benchmarkWhy it matters
Best available classical method for the same formulationEstablishes the actual comparison
Alternative biological formulationsTests whether the chosen optimisation objective is useful
Total wall-clock timeIncludes training, queueing, execution and post-processing
Solution quality distributionPrevents selection of only favourable runs
Scaling with sequence lengthTests whether the demonstrated regime extends usefully
Laboratory biological validationConnects computational output to the intended scientific purpose

6.5. Energy: the utility network is a deployment environment, not evidence of grid optimisation

[D] A published trusted-node QKD study integrated three QKD systems on real electrical-utility fibre and examined interoperability and key-rate behaviour. It is evidence for field integration of communication-security components.

It does not establish quantum-computing advantage for dispatch, state estimation or power-system optimisation.

Source: ORNL, Trusted Node QKD at an Electrical Utility, IEEE Access, 2021. ORNL

Recommended energy-sector separation:

Proposed activitySecurity or operational endpoint to assess
QKD-assisted utility communicationsAssured key delivery and acceptable availability
PQC migration of administrative accessAuthorised remote access across the installed estate
Quantum optimisation experimentImproved solution quality or time against competitive classical methods
Quantum materials calculationValidated prediction relevant to a specified material
Quantum sensing near infrastructureReliable measurement under the actual environmental conditions

For a utility, a communication-security experiment should advance only after examining outage behaviour, maintenance access, trusted sites and compatibility with operational equipment. A computational experiment should advance through a separate performance and usefulness review.

6.6. Gravity surveying: field data support a bounded application

[D] The Iceland–Greenland airborne campaign used the GIRAFE cold-atom gravimeter alongside an iMAR classical strapdown instrument, with flights conducted in June–July 2023. The 2025 publication reports accuracy around 1–2 mGal, depending on flight conditions, for both systems. The campaign also used GNSS receivers.

Source: Jensen and colleagues, Airborne gravimetry with quantum technology: observations from Iceland and Greenland, Earth System Science Data, April 2025. essd.copernicus.org

Reported featureAssessment
Airborne cold-atom instrument[D] Field operation under survey conditions
Classical instrument in the campaign[D] Relevant comparative evidence
Approximately 1–2 mGal accuracy[D] Campaign-specific result, affected by conditions
GNSS-supported survey[D] Navigation support present
Autonomous navigation without GNSS[H] Not established by this campaign

For scale, 1 mGal equals \(10^{-5}\,\mathrm{m\,s^{-2}}\). This is a unit conversion, not an additional experimental result.

Recommended interpretation: evaluate where the instruments’ differing error characteristics improve a combined survey product. Require repeatability, calibration burden, spatial resolution, operating cost and comparison across representative flight conditions before asserting a commercial advantage.

6.7. Biomedical sensing: a human research instrument has been demonstrated

[D] A 2018 wearable magnetoencephalography experiment combined optically pumped quantum sensors with background-field control and measured brain activity while participants moved naturally. It established a human research prototype with capabilities different from a fixed superconducting-sensor arrangement.

Source: Boto and colleagues, Moving magnetoencephalography towards real-world applications with a wearable system, Nature, March 2018. Nature

Recommended clinical assessment: distinguish the ability to record a signal from the ability to support a validated diagnostic or treatment decision.

Clinical-development gateRequired evidence
Measurement repeatabilityConsistent results across sessions and operators
Patient suitabilityPerformance across the intended population
Environmental toleranceDefined shielding and field-control requirements
Diagnostic relevanceValidation against the intended clinical endpoint
Workflow integrationSetup, acquisition, interpretation and cleaning procedures
Regulatory statusAuthorisation for the specified use and configuration
SupportabilityCalibration, maintenance and fault-detection arrangements

[H] A demonstrated wearable MEG research system should not automatically be described as an accredited routine clinical service.

6.8. Civil PNT: magnetic-navigation reports merit testing, not universal performance claims

[C] An April 2025 author preprint reports airborne and ground magnetic-navigation trials using quantum magnetometers, denoising and map matching. It reports a best final airborne positioning result of 22 m, flights up to 19,000 feet, and improvements relative to the specified velocity-aided inertial comparator.

These remain author-reported results in the retrieved preprint. They do not establish certification for civil aviation or performance across every route and platform.

Source: Muradoglu and colleagues, Quantum-assured magnetic navigation achieves positioning accuracy better than a strategic-grade INS in airborne and ground-based field trials, April 2025 preprint. arxiv.org

Recommended PNT acceptance framework:

DimensionProposed measurement
AccuracyPosition-error distribution across the complete route
IntegrityAbility to detect and report misleading position estimates
ContinuityDuration and frequency of lost or unreliable fixes
Map dependenceSensitivity to coverage, resolution and map uncertainty
Platform interferencePerformance under representative payload and configuration changes
Route diversityResults over terrain with different magnetic characteristics
Reference truthIndependent reconstruction of the trial trajectory
RecoveryBehaviour after prolonged ambiguity or sensor interruption

The fusion and map-matching contribution should be measured separately from the sensor contribution where feasible. This is the appropriate place to test algorithmic acceleration; it does not remove the need to validate the physical measurement or reference map.

6.9. Metrology: established atomic timing and deployable advanced clocks have different readiness

[P] PTB documents its national responsibility for realising and disseminating the SI second through its time-metrology work. That established institutional function should be distinguished from the readiness of a particular transportable optical or cold-atom clock.

Source: PTB, Realisation of the SI second, maintained institutional page, retrieved October 2026. PTB.de

Recommended assessment: require the complete uncertainty and dissemination chain. A clock’s internal performance is only one part of the service delivered to a telecommunications node, financial timestamping system or remote instrument.

Metrology layerEvidence to request
Frequency referenceCalibration and uncertainty budget
Clock outputStability and accuracy over relevant averaging periods
Time transferDistribution-path uncertainty
Customer interfaceDelivered timing performance
Environmental operationTemperature, vibration and power sensitivity
MaintenanceRecalibration and intervention requirements
Service continuityHoldover and recovery behaviour

Chapter 6 — Key judgments

  • [P]/[C] Named financial and telecom pilots show institutional engagement with concrete security services. They do not establish migration of an entire sector. See Project Leap phase 2.
  • [D] Selected sensing and surveying applications have physical field or human-system evidence. Their useful operating envelopes must remain attached to the result. See the airborne gravity campaign.
  • [D] Pharmaceutical computation has identifiable hardware experiments, but the cited study does not establish a clinical outcome. See the QCE 2025 publication record.

What would change the assessment

Independent operational replication; representative baseline comparisons; published service-level performance; documented accreditation; and evidence that the quantum component improves the intended outcome after integration and maintenance costs are included.

Open official record

The major missing items are often outside the scientific paper: sustained availability, total ownership cost, installed-base compatibility, authorisation scope and measured outcomes under ordinary operating conditions.

Chapter 7 — Military and Intelligence Uses That Are Real

7.1. Mission evidence must connect the component to an operational decision

Recommended assessment: organise defence applications around the mission effect, then examine the sensor or cryptographic mechanism. Each programme should state what the operator can do differently, under which conditions and with what confidence.

The technical and institutional axes must remain separate:

Technical evidenceInstitutional evidence needed for a stronger operational conclusion
Laboratory sensitivityWritten mission requirement
Integrated prototypeRepresentative platform and environmental testing
Limited field trialOperator evaluation and acceptance criteria
Repeated mission trialAcquisition decision and support arrangements
Series equipmentTraining, calibration, spares and configuration control
Accredited deploymentAuthorised operating scope and continuing assurance

This is a proposed evidentiary progression, not a claim that every programme must follow an identical procurement sequence.

7.2. Timing: current naval evidence includes integration trials

[C] The Royal Navy’s August 2026 report describes trials involving cold-atom clocks, Saab Giraffe 1X radar equipment, testing at Portsdown Hill and associated industry sites, and rebroadcast activity involving XV Patrick Blackett. It describes simulated GNSS interference and investigation of timestamp alignment.

The report does not publish a complete holdover specification, establish fleet deployment or demonstrate immunity to every form of timing disruption.

Source: Royal Navy, Royal Navy’s technology experts work with industry to test quantum clock in milestone trials, August 2026. royalnavy.mod.uk

[C] A separate June 2025 report describes AQlock trials aboard HMS Puncher. It establishes a named maritime trial, rather than a publicly specified operational timing service.

Source: Royal Navy, Quantum navigation technology takes next step after trial on Royal Navy P2000, June 2025. royalnavy.mod.uk

[C] Dstl’s February 2026 report describes extended unattended operation in conditions intended to be more representative of deployment. [R] It identifies further trials as a prospective development step.

Source: Dstl, Trial speeds up next generation of atomic clocks, February 2026. GOV.UK

Named evidenceTechnical readiness judgmentInstitutional readiness judgmentLimitation
Royal Navy radar-clock trialLimited integration trialService-owned evaluationPublic performance specification incomplete
HMS Puncher clock trialLimited maritime field trialNamed naval platform and partnersNo fleet-wide acceptance conclusion
Dstl unattended-operation workComponent and device evaluationDefence research ownershipOperational endurance specification not established

7.3. Distributed radar and SIGINT: delivered timing is the relevant metric

[R] The cited clock trials support further evaluation of timing services for distributed sensing. They do not, by themselves, establish the accuracy of a complete radar or signals-intelligence network.

Recommended acceptance tests:

Timing functionProposed requirement to measure
Local frequency stabilityPerformance over mission-relevant averaging intervals
HoldoverTime error accumulated after external-reference loss
Node synchronisationRelative timing error between deployed nodes
DistributionDelay variation and asymmetry in the transfer path
Timestamp generationError at the actual sensor or receiver interface
RecoveryBehaviour when the external reference returns
Fault indicationWhether operators receive timely warning of degraded assurance
SustainmentCalibration interval and required technical intervention

A useful physical conversion is

Δr = cΔt.

For a one-way propagation interpretation, one nanosecond corresponds to approximately 0.30 m. A monostatic round-trip radar interpretation introduces the appropriate factor of two. These are arithmetic relationships, not performance specifications for the naval trials.

Recommended decision: define the required error at the measurement endpoint before selecting a clock. The acquisition should demonstrate that the distribution architecture preserves the necessary performance under representative disruption.

7.4. Contested-spectrum PNT: robust integration is a funded research problem

[P] DARPA’s Robust Quantum Sensors — RoQS programme explicitly addresses the difficulty of operating quantum sensors under motion, vibration and electromagnetic disturbance. Its programme instrument includes solicitation DARPA-PS-25-11.

[R] The phase-one announcement describes prospective testing with a government-provided helicopter and platform-integration studies, including ground vehicles, submarines, satellites and uncrewed aircraft. Planned testing should not be reported as a completed mission demonstration.

Sources: DARPA, RoQS: Robust Quantum Sensors, maintained programme page; and RoQS launches first phase, August 2025. DARPA

Recommended contested-PNT review:

Navigation dependencyProposed stress test
Inertial sensorRepresentative motion, vibration and thermal transitions
Magnetic sensorPlatform-generated fields and changing configuration
Reference mapMissing, inaccurate and spatially ambiguous data
Fusion softwareSensor disagreement and misleading inputs
Timing sourceExternal-reference loss and recovery
Position solutionLong routes with independent ground truth
Operator interfaceClear indication of degraded confidence
Support systemField recalibration and replacement procedures

[H] “GNSS-independent” should not be accepted as proof of immunity to navigation deception, environmental interference or estimation failure. The acquisition authority should identify which external dependencies have been removed and which remain.

7.5. ASW and magnetic anomaly detection: a candidate mission requires its own target evidence

[R] RoQS identifies submarine platform-integration studies as a prospective area. That is evidence of programme interest in platform suitability; it does not establish an anti-submarine detection capability or a detection range.

Source: DARPA, RoQS launches first phase, August 2025. DARPA

Recommended ASW evidence package:

Mission questionRequired trial information
What was detected?Target class, configuration and relevant signature
At what geometry?Sensor–target relationship and trajectory
Against what background?Environmental and platform interference
With what detection probability?Results at a specified false-alarm rate
With what localisation quality?Position uncertainty and track continuity
Against which comparator?Relevant conventional sensor and processing chain
Under what disclosure limits?Publicly releasable scope of the conclusion
With what sustainment burden?Calibration, platform compensation and maintenance

[H] A laboratory magnetometer sensitivity cannot be converted directly into an ASW range. Sensitivity is an instrument property; detection and classification require a target signature, background model and decision threshold.

Recommended decision: fund blinded, representative target trials before assigning mission capability. Where target details cannot be released, public reporting should still distinguish a research milestone from an accepted operational system.

7.6. Tunnel and void detection: civil proof of measurement is not military target identification

[D] The Birmingham gravity-cartography experiment demonstrated outdoor detection of a two-metre tunnel, reporting 20 E statistical uncertainty and 0.5 m spatial resolution across an 8.5 m survey line. The published result also includes substantial uncertainty in inferred depth.

Source: Stray and colleagues, Quantum sensing for gravity cartography, Nature, February 2022. University of Birmingham

[R] This supports further evaluation for subsurface survey missions. It does not establish reliable military identification of arbitrary underground structures.

Recommended military trial design:

Trial elementPurpose
Blinded target inventoryPrevent prior knowledge from determining interpretation
Multiple depths and geometriesTest the usable operating envelope
Geological variationMeasure background ambiguity
Non-target anomaliesEstablish false-alarm performance
Survey-time constraintTest whether the method fits the mission
Competing instrumentsEstablish comparative value
Independent excavation or reference surveyConfirm the inferred structure
Operator replicationTest dependence on specialist interpretation

The acceptance endpoint should be a specified detection or classification outcome with uncertainty. A successful measurement of a gravity anomaly should not automatically count as identification of its cause.

7.7. RF reception: a programme target must not become a claimed deployed capability

[P] DARPA’s Quantum Apertures programme investigated Rydberg-atom RF receivers. Its current reference page identifies the programme as complete, but does not publish evidence that every stated performance objective was achieved.

[R] The 2021 team-selection announcement described targets including reception over 10 MHz to 40 GHz or more, directionality, sensitivity and compact packaging. Those numbers are programme objectives, not a verified specification for a fielded SIGINT receiver.

Sources: DARPA, QA: Quantum Apertures, completed-programme reference page; and DARPA Selects Research Teams to Enable Quantum Shift in Spectrum Sensing, 2021. DARPA

Recommended RF evaluation:

Performance dimensionRequired distinction
Frequency coverageTunable coverage versus instantaneous bandwidth
SensitivityPerformance for the stated modulation and integration time
Dynamic rangeBehaviour with strong nearby signals
Direction findingAngular performance of the complete receiver architecture
Waveform recoverySuccessful demodulation of representative signals
RetuningTime needed to change operating frequency
PackagingComplete optical, control, power and thermal system
Field operationTemperature, vibration and electromagnetic tolerance

[H] A statement that a receiver can be tuned across a broad range should not be restated as simultaneous interception of that entire range.

7.8. Quantum radar: prospective defence work is not an operational radar record

[P] Canada’s Quantum 2030 implementation plan identifies defence research missions including quantum radar, quantum lidar, algorithms and networking. [R] It states a TRL 7 by 2030 ambition. This is a programme objective, not a completed capability.

Source: Canadian Department of National Defence, Quantum S&T Strategy Implementation Plan, March 2023. Canada.ca

Recommended radar assessment: carry forward the mechanism analysis from Pillar I, then require evidence at the full-system boundary. Relevant tests should specify transmitted energy, bandwidth, target, range, background, integration time, detection probability and false alarms.

Claimed resultEvidence required
Improved sensitivityMatched-resource comparison with a suitable classical receiver
Improved target detectionRepresentative target and clutter trial
Resistance to countermeasuresNamed countermeasure and measured outcome
Operational rangeFull link budget and field evidence
Compact deployable equipmentComplete system size, weight, power and environmental results
Mission readinessAcceptance authority, operating scope and support arrangements

[H] A defence research mission labelled “quantum radar” does not establish long-range detection of stealth platforms. Such a conclusion requires its own system and target evidence.

7.9. Communications: migration authority and network experimentation serve different purposes

[P] NSA’s current resource page identifies CNSS Policy 15, released in March 2025, and the CNSA Suite 2.0 materials as the relevant national-security cryptographic instruments. National-security owners should use those applicable profiles rather than assume that general-purpose NIST defaults satisfy their requirements.

Source: NSA, Post-Quantum Cybersecurity Resources, maintained page, retrieved October 2026. nsa.gov

[P] NATO’s quantum strategy identifies transition toward quantum-resistant cryptography as an alliance concern. [R] Its desired outcomes and possible future quantum-communications contributions should not be read as evidence that allied systems have already completed migration.

Source: NATO, Summary of NATO’s Quantum Technologies Strategy, January 2024. NATO Official text

Recommended national-security migration controls:

Control areaEvidence to require
Governing profileApplicable authority and approved algorithms
Equipment inventoryCryptographic dependencies by device and service
Tactical constraintsRepresentative bandwidth, loss and disconnection tests
Coalition interoperabilityAuthorised peer configurations and transition arrangements
Trust anchorsVerifier replacement and certificate-hierarchy plan
Key managementApproved provisioning, storage and destruction procedures
Configuration assuranceEvidence that installed equipment uses the approved profile
ExceptionsNamed owner, residual risk and retirement date
SustainmentSupport for long-lived and difficult-to-access equipment

[R] Early memory-based quantum-network experiments remain relevant to future network research, but the Chapter 5 demonstration does not establish an accredited military communications service. Its evidence should remain attached to the physical experiment, not multiplied into a mission claim.

7.10. Intelligence exposure: retained secrets and operational trust require separate priorities

Recommended intelligence assessment: divide the exposure register into three classes:

Exposure classAssessment questionProposed priority
Retained confidentialityWhat intercepted information would remain valuable years later?Protect enduring identities, relationships and strategic information
Live operational authenticationWhich future messages, software or authorities must remain trustworthy?Migrate signatures, identities and verification paths
Archived evidentiary authenticityHow will historical records retain verifiable provenance?Preserve trust state and define renewal procedures

The recommended collection-risk review should identify which communications are plausibly obtainable, how long their contents remain consequential, and whether the vulnerable cryptographic dependency lies in session establishment, storage or an upstream key-wrapping layer.

The response should then match the exposure. Re-encrypting a local archive cannot recall copies already intercepted. Replacing a network establishment mechanism does not update an offline firmware verifier. Reducing unnecessary retention can lower exposure, but it does not establish secure authentication.

These are planning distinctions, not claims about a particular intelligence service’s holdings or computing capability.

7.11. Computing: a defence owner does not establish mission advantage

[P] Canada’s implementation plan includes a quantum-algorithms mission. [R] Its prospective application objectives require later technical and operational validation; the programme’s existence does not demonstrate a useful military optimisation service.

Source: Canadian Department of National Defence, Quantum S&T Strategy Implementation Plan, March 2023. Canada.ca

Recommended computational evidence package:

FieldRequired content
Mission problemExact decision or calculation being supported
Instance sizeFull problem dimensions and constraints
EncodingReduction and data-preparation costs
HardwareProcessor, qubit type and execution conditions
ResourcesCircuit depth, samples and applicable error correction
ComparatorCompetitive classical algorithm on relevant hardware
Total timeComplete workflow elapsed time
Output qualityObjective value, accuracy or useful decision metric
RobustnessBehaviour across representative instances
ReproducibilityData, code and sufficient methodological detail

[H] A small scheduling demonstration, a synthetic optimisation instance or a defence-funded processor should not be described as a mission advantage without this comparison.

The recommended defence investment should pursue well-defined research questions and preserve the ability to stop work when improved classical methods remove the hypothesised advantage.

7.12. Military readiness register

This register consolidates the assessment without treating research ownership as procurement or doctrine.

ApplicationBest evidence examined in this blockTechnical readiness judgmentInstitutional readiness judgmentCurrent claim boundary
Naval advanced clocks[C] Named sea and integration trialsLimited field and integration trialsService-owned evaluationNo fleet-wide timing specification established
Distributed radar timing[C] Radar-clock trialIntegration trialNamed defence and industry participantsNo complete operational-network result established
Robust quantum sensing[P] RoQSResearch and prospective platform testingFunded programme and solicitationPlanned test is not a completed trial
ASW-related sensing[R] Candidate mission inferenceMission performance not establishedPlatform-study interestNo justified detection-range claim
Tunnel detection[D] Civil outdoor experimentDemonstrated survey experimentMilitary acceptance not established by cited evidenceNo general target-identification capability
Rydberg RF reception[P] Quantum AperturesProgramme research; field specification unresolvedCompleted research programmeObjectives are not an accredited receiver specification
Quantum radar[P]/[R] Canadian programme and targetOperational mission result not established hereDefence research ownershipNo operational long-range radar conclusion
NSS cryptographic migration[P] Applicable policy instrumentsImplementation depends on systemFormal security authorityPolicy does not establish completed estate migration
Experimental quantum networks[D] Physical experiment discussed in Chapter 5Experimental network integrationMilitary service ownership not establishedNo accredited military network conclusion
Military quantum algorithms[P]/[R] Named research missionApplication-specific validation requiredDefence research ownershipNo general mission advantage established

7.13. The next funding gate should require evidence that resolves a mission uncertainty

Recommended acquisition discipline:

Funding gateEvidence to requestDecision enabled
Component continuationRepeatable performance under specified conditionsWhether the physical mechanism warrants integration
Platform integrationRepresentative motion, noise and environmental testingWhether the device is suitable for the platform
Mission experimentBlinded targets and relevant comparatorsWhether the system changes an operational outcome
Pre-procurement evaluationReliability, maintainability and reproducibilityWhether acquisition is justified
Operational acceptanceAuthorised configuration, training and logisticsWhether the service can be relied upon
ExpansionRepeated performance across platforms and locationsWhether initial success generalises

For timing, the gate should resolve delivered holdover and synchronisation performance. For navigation, it should resolve position integrity across representative routes. For subsurface sensing, it should resolve detection and false alarms. For RF reception, it should resolve waveform recovery and dynamic range. For cryptography, it should resolve approved interoperability and installed configuration.

A programme should receive additional funding because the proposed experiment can settle a material uncertainty, rather than because its terminology fits a strategic theme.

Chapter 7 — Key judgments

  • [C] The strongest current naval evidence examined here concerns named timing trials and integration work. It supports continued evaluation, with operational specifications still required. See the August 2026 Royal Navy trial report.
  • [P] Robustness under platform conditions is an explicit funded research objective. The decision changed is whether to require representative testing before procurement. See DARPA RoQS.
  • [P]/[R] Defence strategies and target dates establish institutional intent. They do not establish ASW range, operational quantum radar or computational mission advantage. See Canada’s implementation plan.
  • [P] National-security cryptographic migration has identified policy authorities and should proceed through the applicable profiles and assurance processes. See NSA’s resource guidance.

What would change the assessment

Published representative mission trials; independent replication; detection results at specified false-alarm rates; delivered timing and navigation specifications; accredited communications configurations; series-production evidence; or computational results that outperform competitive classical methods on relevant mission instances.

Open official record

The decisive unresolved questions are performance under operational disturbance, sustained availability, maintenance burden, acceptance authority and transition from research ownership to procurement and doctrine. Public evidence examined here supports several concrete experiments and programmes; it does not support assigning them a common operational maturity.


Pillar III — Industrial Power, Conditional Outlook and Decisions

Chapter 8 — The Industrial and Geopolitical Layer

8.1. Industrial position should be assessed through control, reproducibility and continuity

The recommended unit of industrial assessment is the capability that a country, institution or supplier can reproduce, maintain and improve under realistic constraints. A national laboratory, an installed processor and a domestic company represent different forms of participation; none alone establishes control of the complete production chain.

For a cabinet office, the consequential question is whether the national programme can retain access to the technologies and people required for its chosen applications when commercial conditions, ownership, export permissions or technical requirements change. For an investor or acquisition authority, the corresponding question is whether the supplier can sustain the promised service beyond its initial demonstration.

Assessment axisEvidence to collectConclusion the evidence can support
Hardware design authorityOwnership or licensed control of architecture and design filesAbility to modify the system
Fabrication accessQualified production process, contractual access and alternative capacityAbility to produce additional devices
Component continuitySupplier map, replacement paths and maintenance arrangementsAbility to sustain installed equipment
Integration competenceRepeated assembly, calibration and commissioning resultsAbility to reproduce a working system
Software and control authorityAccess to firmware, control interfaces, decoders and update proceduresAbility to maintain performance and security
Standards participationContributions, evaluation facilities and implementation experienceAbility to influence and implement interoperable requirements
Workforce continuityRelevant skills, retention and succession arrangementsAbility to operate and improve the capability
Financial durabilityFunds available against milestones and continuing operating costsAbility to complete the programme and support its outputs
Mission ownershipNamed user, requirement and acceptance authorityAbility to convert research into an adopted service

Recommended interpretation: industrial sovereignty should be reported as a set of controlled dependencies. The phrase “sovereign quantum computer” should trigger an examination of design authority, production access, operating rights and supportability, rather than close that examination.

8.2. Public funding figures require an accounting classification before comparison

The financial register should distinguish at least six categories:

Financial categoryMeaning for the assessmentError to avoid
Authorised envelopeAmount approved or permitted for a programmeTreating the entire envelope as expenditure
Budget requestFunding sought for a fiscal periodTreating a request as enacted funding
Budget authority or allocationFunding made available under the relevant processTreating it as money already used
Contracted commitmentObligation under a specified agreementTreating every commitment as an immediate cash payment
Released fundsResources transferred to the implementing bodyTreating transfer as completed technical work
Reported expenditure or utilisationResources recorded as spent or usedTreating spending as proof of capability

[P] The US National Quantum Initiative’s FY2025 supplement explicitly separates historical expenditure, FY2024 enacted budget authority and the FY2025 request. Its reporting structure demonstrates why the categories should remain visible in an international comparison.

Source: US National Science and Technology Council, National Quantum Initiative Supplement to the President’s FY2025 Budget, December 2024. quantum.gov

8.3. Selected financial instruments: amounts, periods and limits

The following table records selected public instruments, not exhaustive national spending. The amounts are deliberately retained in their original currencies; converting them into dollars would not resolve differences in time horizon, scope or accounting status.

JurisdictionAmount and period in the cited recordAccounting interpretationEvidence classification and source
United StatesUS$1,036 million, FY2023; US$1,006 million, FY2024; US$998 million, FY2025Respectively reported expenditure, enacted budget authority and requested authority[P] Historical federal QIS series, not a verified FY2026 total. FY2025 supplement, December 2024
United Kingdom£2.5 billion, ten years from 2024Strategy funding commitment across a multiyear programme[P] Commitment does not establish expenditure to date. National Quantum Strategy, March 2023
European Union€1 billion for the Quantum Technologies FlagshipLong-term EU research initiative[P] Programme scope differs from aggregate member-state spending. Commission quantum policy record
FranceAdditional €1 billion, announced for 2026–2030New investment announcement within the national strategy[C] Announcement is not an independently audited disbursement record. DGE update, May 2026
Germany€2.18 billion federal funding, plus €282 million from scientific organisations, described in the 2023 parliamentary discussionFinancing associated with the action concept[C] Parliamentary description; not a consolidated 2026 expenditure statement. Bundestag committee record, May 2023
India₹6,003.65 crore, eight-year National Quantum MissionApproved mission outlay[P] Envelope must be separated from released and utilised amounts. Parliamentary response, February 2026, Hindi
IsraelNIS100 million, July 2026 infrastructure callNamed national R&D infrastructure initiative[P] Call for proposals, not evidence that the proposed facility is already operational. Israel Innovation Authority, July 2026, Hebrew
AustraliaA$940 million, joint Commonwealth–Queensland investment announced in April 2024Project-specific support for PsiQuantum in Brisbane[P] Financial support; delivery of the intended computer remains a separate technical milestone. Government progress report, 2024
CanadaC$360 million, seven years beginning in 2021–2022Incremental funding supporting the national strategy[P] Does not encompass every related federal or provincial programme. National Quantum Strategy, French official version

The cited records support the amounts and their classifications, but do not support adding the rows into a global expenditure total. quantum.gov

For China, Japan and Italy, the policy records examined below establish strategic direction or programme architecture. They do not supply a directly comparable, consolidated quantum-only expenditure series for this table. That is a limitation of the comparison, rather than a finding that the countries spend nothing.

8.4. India provides a useful example of financial implementation visibility

[P] A March 2026 parliamentary response distinguishes sanctioned, released and utilised funds for selected implementing institutions:

InstitutionSanctioned through March 2031ReleasedUtilisedUtilised ÷ released
IISER Pune₹30.61 crore₹18.14 crore₹4.71 crore25.96%
IIT Bombay₹558.76 crore₹114.89 crore₹22.31 crore19.42%
TIFR Mumbai₹71.03 crore₹36.15 crore₹3.63 crore10.04%

The percentages are this report’s arithmetic, calculated from the published amounts. The rows are not the complete mission budget.

Source: Government of India, Parliament question: women’s participation in quantum research and entrepreneurship, including fellowships, March 2026. Press Information Bureau

Recommended interpretation: these ratios should trigger an implementation review, rather than an automatic performance judgment. Funds sanctioned through 2031 cannot be compared with expenditure recorded in 2026 as if all technical deliverables were already due.

The review should examine procurement timing, facility construction, hiring, grant-release conditions and the relationship between expenditure and completed milestones. Financial visibility is valuable precisely because it permits those questions to be asked without substituting a headline envelope for evidence of implementation.

8.5. United States: evaluate the connection between research, verification and production

[P] The NQI budget supplement describes activities across federal agencies and records work on supply-chain analysis, enabling technologies and workforce development. Its scope is wider than the activities specifically authorised under the original NQI legislation.

Source: NSTC, FY2025 National Quantum Initiative supplement, December 2024. quantum.gov

[P] DARPA’s Quantum Benchmarking Initiative provides a separate verification mechanism. It seeks to determine whether an approach can achieve utility-scale operation by 2033, defining utility in terms of computational value exceeding cost. Its stages move from a system concept, through an R&D plan, to government verification and validation.

Source: DARPA, Quantum Benchmarking Initiative, maintained programme record, retrieved October 2026. DARPA

Analytical judgment: the important US policy distinction is between financing an approach and validating its complete economics. An acquisition authority should preserve that separation even when the supplier has a substantial private balance sheet or extensive scientific publications.

Recommended national assessment: examine whether verification findings can influence funding decisions, whether component suppliers have sustainable production paths, and whether trained personnel can move between research, manufacturing and operational support.

8.6. United Kingdom: mission targets are useful only when intermediate evidence remains visible

[P] The UK strategy commits funding to research hubs, accelerators and challenge-led innovation. [R] Its mission framework includes a 2035 computing objective of one trillion operations, with intermediate computing milestones in 2028 and 2032.

Sources: UK government, National Quantum Strategy, March 2023; and National Quantum Strategy Missions, November 2023. GOV.UK

Analytical judgment: a mission framework can connect scientific work with users, but its value depends on how “operations” are defined and whether intermediate systems meet complete workload requirements.

For the 2026–2031 assessment, the 2035 objective belongs outside the reporting window. The nearer milestones should be evaluated through gate definitions, supported logical register size, success probability and elapsed execution time.

Recommended national assessment: retain separate scorecards for mission progress, manufacturing capability, user adoption and standards implementation. A successful field trial should advance the relevant sensing mission without being counted as progress toward fault-tolerant computation.

8.7. European Union: coordination and industrialisation are explicit policy objectives

[P] The July 2025 Quantum Europe Strategy identifies research, infrastructure, ecosystem development, space and dual-use applications, and skills as interconnected areas of action. It also identifies fragmentation and the conversion of innovation into market opportunities as policy problems.

Source: European Commission, Quantum Europe Strategy, July 2025. Shaping Europe’s digital future

[P] The Commission’s maintained policy record describes a €100 million EuroHPC investment associated with six selected quantum-computing sites, financed equally by the EU and participating countries. [R] The same record describes the Quantum Act as a forthcoming initiative scheduled for adoption in 2026; that wording does not establish an already enacted and effective Act.

Source: European Commission, Quantum policy, infrastructure and Quantum Act record, maintained page, retrieved October 2026. Shaping Europe’s digital future

Analytical judgment: EU-level infrastructure can provide shared access and common testing environments. Its industrial contribution should be judged through utilisation, qualified supply chains, retained design authority and the ability to support equipment across national boundaries.

Recommended comparison rule: do not add EU funding to member-state envelopes unless co-financing and overlapping allocations have been reconciled. The same project can appear in several policy narratives without representing several independent investments.

8.8. France: a larger target changes the verification burden

[C] The May 2026 DGE update reports €1 billion mobilised by the state since 2021, €1.8 billion in cumulative public and private commitments, and €610 million invested through France 2030. These categories should not be added together.

[P] The update identifies PROQCIMA as a programme intended to develop a fault-tolerant computer for state requirements. [R] It raises the stated 2032 objective to 1,024 logical qubits, compared with an initial 128.

Source: French Directorate-General for Enterprise, France 2030 : la France accélère sa stratégie quantique pour renforcer sa souveraineté technologique, May 2026. Direction générale des Entreprises

Analytical judgment: the target revision increases the importance of intermediate acceptance criteria. It is a change in ambition, not evidence that the larger system exists, and should not be described as schedule slippage without evidence of a missed milestone.

Recommended national assessment: request the logical-operation specification, production architecture and milestone verification process. Because the revised endpoint lies in 2032, progress within 2026–2031 should be evaluated through the components and integrated prototypes required to reach it.

8.9. Germany: the 2026 transition should be evaluated through usable systems

[P] Germany’s 2023 action concept established a policy framework through 2026. [R] It included a target for a system with at least 100 individually controllable qubits, scalable to 500, alongside sensing and communications objectives.

Source: German federal government, Handlungskonzept Quantentechnologien, April 2023. quantensysteme.info

[P] The 2026 federal research and innovation report emphasises moving quantum computing, sensing and communications from demonstrators toward usable systems.

Source: German federal government, Bundesbericht Forschung und Innovation 2026 — research and innovation policy guidelines, 2026. BuFI

Analytical judgment: the relevant industrial test is whether demonstrators become reproducible products with defined operating envelopes and support arrangements. A physical-qubit target should remain separate from logical-computing performance.

Recommended national assessment: examine the continuity between the expiring action concept and its successor measures, especially manufacturing qualification, user requirements and evaluation of systems intended for industrial environments.

8.10. China: strategic priority is visible; a comparable expenditure total remains unresolved

[P] The published Fifteenth Five-Year Plan places quantum technologies among strategic frontier fields and identifies quantum technology within the development of future industries.

Source: 中华人民共和国国民经济和社会发展第十五个五年规划纲要, official Chinese publication of the 2026–2030 plan, March 2026. zyshgzb.gov.cn

Analytical judgment: this establishes policy priority and a national planning context. It does not establish a consolidated quantum-only budget, the technical performance of a processor or the operational security of a communications network.

The recommended comparison should therefore retain two separate records: one for policy instruments and disclosed expenditure, and another for reproducible technical evidence. Institutional claims of indigenous production should remain [C] until supported by an auditable production record or appropriate technical evidence.

Recommended national assessment: examine named institutions, procurement, fabrication routes and qualified components. Do not infer a quantum budget by assigning an unspecified portion of broader science, semiconductor or strategic-industry expenditure to the sector.

8.11. Japan: its own policy record identifies international dependencies

[P] Japan’s May 2025 ecosystem measures explicitly address component supply chains, industrialisation and international cooperation. [C] The document identifies import dependencies for some high-end lasers and single-photon detectors and discusses supply risks involving materials and advanced measurement equipment.

Source: Japanese Cabinet Office, 量子エコシステム構築に向けた推進方策, May 2025. www8.cao.go.jp

[P] The Cabinet Office’s current record also lists 2026 cooperation instruments involving the Netherlands, Australia and India.

Source: Japanese Cabinet Office, 量子技術イノベーション — strategy and international-cooperation register, maintained page, retrieved October 2026. 内閣府

Analytical judgment: the Japanese record supports an assessment based on strategic autonomy combined with reliable international access. Domestic integration does not require every component to be domestically manufactured, but dependence should be visible and manageable.

Recommended national assessment: identify which component technologies are intended to become nationally indispensable, which remain internationally sourced, and how qualification or replacement would proceed if a supply path were interrupted.

8.12. India: institutional architecture and physical-qubit targets should remain distinct

[P] India’s National Quantum Mission has four thematic hubs covering computing, communication, sensing and metrology, and materials and devices. The official Hindi parliamentary record describes their governance and implementation arrangements.

[R] The mission specifies physical-qubit development bands of 20–50, 50–100, and 50–1,000 at its three-, five- and eight-year stages.

Source: Government of India, राष्ट्रीय क्वांटम मिशन — parliamentary response, February 2026. Press Information Bureau

Analytical judgment: the hub structure provides identifiable institutional owners. Its physical-qubit milestones do not establish a future logical register or cryptanalytic capability.

Recommended national assessment: connect hub financing to commissioned facilities, qualified production processes, trained personnel and independently evaluated devices. The financial implementation table above offers a starting point, but technical milestones require their own evidence.

8.13. Israel: multi-platform infrastructure is an integration instrument

[P] The Israel Innovation Authority’s July 2026 call proposes national R&D infrastructure integrating at least three quantum-processing technologies. It describes services spanning benchmarking, integration, control, error correction, software, applications and workforce development.

Source: Israel Innovation Authority, רשות החדשנות מקימה תשתית מו״פ לאומית למחשוב קוונטי בהשקעה של 100 מיליון שקלים, July 2026. רשות החדשנות

Analytical judgment: a multi-platform facility can improve comparative testing and reduce premature commitment to one architecture. Its value should be measured through the quality of evaluation, access, integration and technology transfer.

The call does not establish that every platform will be domestically fabricated or that the infrastructure already delivers the proposed services.

Recommended national assessment: require a clear distinction between ownership of equipment, access to control interfaces, rights to experimental data and the ability to modify or replace the underlying platform.

8.14. Australia: project concentration makes delivery verification consequential

[P] The Australian government’s progress report identifies the joint PsiQuantum investment and support for other activities, including Silicon Quantum Computing and feasibility projects.

Source: Australian Department of Industry, Science and Resources, State of Australian Quantum report — progress, 2024. Department of Industry Science and Resources

Analytical judgment: substantial project-specific support creates a concentrated exposure to that project’s technical and contractual execution. The assessment should separately examine construction progress, manufacturing qualification, system acceptance, continuing operating costs and the domestic capabilities retained through the arrangement.

Recommended national assessment: define what remains useful if the central computing milestone arrives late or changes technically. Relevant retained assets may include qualified processes, integration knowledge, facilities and personnel, but their existence and transferability must be documented rather than assumed.

8.15. Canada: research, talent and commercialisation have identified programme roles

[P] Canada’s national strategy organises support around research, talent and commercialisation, with missions covering computing, communications and sensing. Its funding mechanisms include support for research collaboration and operational prototype testing.

Source: Innovation, Science and Economic Development Canada, Stratégie quantique nationale du Canada, official French strategy record. Stratégie quantique nationale

Analytical judgment: the commercialisation test is whether an enterprise can repeatedly deliver and support a product at an acceptable cost. Scientific participation and prototype funding should remain visible as inputs, rather than be recorded as completed industrial output.

Recommended national assessment: examine production access, market concentration, skilled-worker retention and the transition from prototype evaluation into recurring procurement.

8.16. Italy: coordination should be connected to funded implementation

[P] Italy adopted its national quantum-technology strategy through the Interministerial Committee for Digital Transition in July 2025. The government record describes coordination between the digital-transformation and university-research policy structures.

Source: Italian Department for Digital Transformation, Tecnologie quantistiche: una Strategia per l’Italia, July 2025. innovazione.gov.it

Analytical judgment: the central evaluation question is how coordination becomes a funded and accountable implementation chain. An assessment should identify programme owners, facilities, industrial contributions, user access and acceptance criteria.

Recommended national assessment: distinguish capabilities developed domestically, capabilities accessed through European infrastructure and capabilities bought from international suppliers. Each can contribute to national resilience, but they confer different forms of control.

8.17. Sovereignty should be tested at the dependency level

The following is a recommended dependency audit. It identifies potential bottlenecks to investigate; it does not assert a verified shortage or export restriction for every item.

DependencyExposure to examineRequired continuity evidence
Dilution refrigerationCooling capacity, installation and specialist maintenanceQualified alternatives, spares and service arrangements
Precision lasersRequired noise, stability and wavelength performanceReplacement qualification and long-term support
Isotopically tailored materialsPurity, reproducibility and production accessSpecification, batch acceptance and alternate source
Photonic componentsLoss, detector performance and packagingProcess qualification and reproducible assembly
Control electronicsTiming, noise, scaling and firmware accessSupported interfaces and replaceable implementation
Fabrication equipmentAccess to suitable processes and tolerancesProduction agreements and transfer feasibility
Vacuum and packagingReliability and reproducible integrationEnvironmental tests and manufacturing documentation
Decoder infrastructureThroughput, latency and control-system integrationPerformance at the intended logical scale
Calibration knowledgeDependence on individual specialistsDocumented procedures and trained replacement staff
Software infrastructureLicensing, portability and update continuityData export, reproducible workflows and transition rights

[P] Japan’s ecosystem measures expressly include refrigerators, electronics, optical systems, detectors and control systems among component areas for policy attention.

Source: Cabinet Office, Quantum ecosystem measures, component and supply-chain sections, May 2025. www8.cao.go.jp

A practical sovereignty test should ask three questions for each dependency: who can alter it, who can reproduce it, and how long replacement takes. The answers should determine resilience measures and procurement rights.

8.18. Export controls: the legal choke point must be identified precisely

[P] The September 2024 US rule introduced quantum-computing controls including:

ClassificationScope described in the 2024 instrument
4A906Specified quantum computers and related assemblies or components
4D906Specified software for development or production of covered components
4E906Specified technology for development, production or relevant software use

The rule combines controllable physical-qubit count with gate-error criteria and includes technical definitions and notes. It does not establish that every product marketed as quantum falls within the same classification.

Source: US Department of Commerce, Commerce Control List additions and revisions: advanced technologies consistent with international-partner controls, September 2024. federalregister.gov

[P] BIS also described exclusions and a general-licence mechanism concerning certain deemed exports and reexports, with reporting conditions.

Source: BIS, Department of Commerce Implements Controls on Quantum Computing and Other Advanced Technologies Alongside International Partners, September 2024. bis.gov

Recommended assessment: maintain a classification record at item and technology level, including the relevant transaction, recipient, destination and current consolidated provisions. The BIS Interactive Commerce Control List provides the current-reference entry point; the historical rule explains the introduction of the controls.

8.19. Standards influence and talent should be evaluated through outputs

A recommended standards scorecard should examine technical contributions, reference implementations, test methods, evaluation laboratories and adoption support. Committee membership alone should not be treated as demonstrated influence over a final specification.

A recommended workforce scorecard should distinguish scientific research from the engineering and operational skills needed to reproduce systems:

Workforce categoryCapability to measure
Device scientistsUnderstanding and improvement of the physical mechanism
Fabrication engineersRepeatable process and yield
Integration engineersAssembly, packaging and commissioning
Control specialistsCalibration, feedback and performance maintenance
Software and decoder engineersReliable execution and classical-system integration
Validation specialistsIndependent testing and uncertainty analysis
Field-service personnelRepair, recalibration and sustained operation
Application specialistsConnection between the technology and user requirements

Analytical judgment: the industrial programme should fund these roles according to its intended outputs. A research workforce can establish scientific strength while leaving manufacturing or service continuity unresolved.

Chapter 8 — Key judgments

[P] National programmes are identifiable, but their financial instruments differ materially. The decision changed is how to compare investment without equating requests, commitments and expenditure. The US budget supplement and Indian implementation response provide useful accounting distinctions.

[R] Larger logical-qubit targets increase the verification burden; they do not resolve it. France’s revised PROQCIMA objective should be assessed through intermediate operational specifications.

Analytical judgment: the most useful sovereignty measures concern controlled dependencies, reproducible production and sustained access. Funding an installed system should be accompanied by evidence of the rights and capabilities retained.

What would change the assessment

Audited expenditure reconciled across programmes; qualified production and yield records; documented component substitution; completed acceptance tests; and evidence that industrial outputs remain supportable beyond their initial demonstrations.

Open official record

Comparable national expenditure, complete dependency maps, production yields and maintenance costs remain unevenly disclosed. These gaps prevent a defensible single ranking of national quantum power.

Chapter 9 — Five-Year Outlook, 2026–2031, Under AI Acceleration

9.1. Scenarios should branch on measurable conditions

The recommended outlook uses three branches:

  • Constrained: component progress continues, but integrated reliability, manufacturing or operational adoption remains limiting.
  • Base: several approaches establish useful integrated systems within defined operating envelopes, while fault-tolerant computing remains workload-limited.
  • Accelerated: coordinated improvements in physical performance, error correction, classical control and production permit substantially deeper logical computation and wider adoption.

These are [R] analytical scenarios, not assigned probabilities. Their purpose is to connect decisions with evidence that can confirm or reject a branch.

Branch variableEvidence needed to advance the assessment
Error correctionRepeated suppression under relevant operations and conditions
Logical registerSimultaneously usable logical qubits executing the required operations
DecoderSustained throughput, decision latency and integration into feedback
ManufacturingRepeatable yield and commissioned-system consistency
CryptanalysisUpdated complete resource estimates or reproducible attacks against named schemes
Application valueEnd-to-end comparison against a competitive conventional alternative
Institutional adoptionAcceptance, support, ownership and operational authorisation

9.2. Public roadmaps provide targets with different scopes

[R] The following targets are prospective and should retain their original definitions:

Roadmap or programmeStated targetRelationship to 2026–2031
IBM Starling2029, 200 logical qubits, 100 million quantum gatesInside the window; performance remains prospective
Quantinuum ApolloUpdated company record identifies 2029 launchInside the window; complete application resources require verification
French PROQCIMA1,024 logical qubits by 2032Endpoint lies beyond the window
UK computing mission2032 billion-operation intermediate milestone; 2035 trillion-operation objectiveBoth endpoints lie beyond the window
DARPA QBIAssess utility-scale feasibility by 2033Verification horizon extends beyond the window

Sources: IBM, Hardware and roadmap, maintained record; Quantinuum, Stage B announcement and roadmap update, November 2025; DGE, PROQCIMA update, May 2026; UK government, Quantum Missions, November 2023; DARPA, QBI. Hardware and roadmap

[R] Quantinuum’s September 2024 announcement used a “by 2030” framing and described circuits with millions of gates. The subsequent 2029 statement is an earlier target, rather than evidence of delay.

Source: Quantinuum, Accelerated roadmap announcement, September 2024. quantinuum.com

Recommended reporting rule: retain dated versions and record changes in metric, scope and delivery date. A roadmap revision should be classified accurately as acceleration, delay, increased ambition or redefinition.

9.3. AI-assisted decoding has demonstrated value, with an execution constraint

[D] The 2024 AlphaQubit paper evaluated neural decoding on experimental Sycamore surface-code data at distances three and five. It reported improved decoding accuracy relative to the evaluated comparators. Larger-distance results used simulation.

The paper distinguishes throughput from final-decision latency and states that its design had not been optimised for inference speed. Consequently, better retrospective decoding does not alone establish the feedback performance required for a long algorithm.

Source: Bausch and colleagues, Learning high-accuracy error decoding for quantum processors, Nature, November 2024. Nature

Recommended next-stage test: require the decoder to meet both a throughput requirement and a decision deadline under the intended code, noise regime and number of logical blocks. Average throughput should not conceal a persistent backlog or unacceptable latency tail.

9.4. A 2026 control result supports acceleration through calibration

[D] A July 2026 study applied reinforcement-learning fine-tuning to Google’s Willow processor after conventional calibration. It reported approximately 20% additional logical-error suppression in repeated distance-five surface- and colour-code runs. Its distance-seven surface-code result reached a logical error rate of 7.72(9)×10−47.72(9) \times 10^{-4} using AlphaQubit2.

The paper distinguishes experimental repeated-shot control from simulated steering during a long logical computation. It also identifies fast drift that its current steering cannot follow.

Source: Sivak and colleagues, Reinforcement learning control of quantum error correction, Nature, July 2026. Nature

Analytical judgment: this is evidence for a specific acceleration mechanism—using error-detection information to improve control. It is not evidence that learning removes irreducible physical noise or supplies an entire fault-tolerant architecture.

9.5. AI should enter the outlook through identifiable bottlenecks

AI contributionMechanism to assessEvidence classificationCeiling that remains
QEC decodingInfer corrections from syndrome history and analogue information[D] Selected decoding results; [R] broader deploymentLatency, scale and physical-noise behaviour
Calibration and controlSearch and adapt control parameters using measured outcomes[D] Selected 2026 hardware resultIrreducible noise, fast drift and unsafe exploration
Materials and device searchPrioritise candidate structures or fabrication parameters[R] Proposed acceleration pathway hereFabrication, measurement and reproducibility
PQC cryptanalysis and implementation testingSearch for weaknesses in a named construction or implementation[R] Scheme-specific continuationProof, attack cost and independent reproduction
Sensor fusionCombine sensor streams, maps and uncertainty estimates[R] Application-specific developmentMeasurement quality, map ambiguity and integrity

The recommended programme should measure the improvement at the bottleneck and then measure the complete system. An improvement in one stage can be useful without determining the total rate of progress.

9.6. Long computations require an explicit failure budget

The following is an illustrative analytical calculation, rather than a device forecast.

Let K be the number of relevant failure opportunities and pi the probability of failure at opportunity i. The union bound gives:

P(at least one failure) ≤ K ∑ i=1 pi.

If each probability is bounded by p, a sufficient condition for total failure probability no greater than ε is:

p ≤ ε K .

For an illustrative 1% total failure budget:

Counted failure opportunities (K) Sufficient uniform bound (p)
106 10−8
108 10−10
1011 10−13

These rows require a defined opportunity count. It may include logical operations, memory rounds, state preparation and other events. A published memory-error rate cannot be substituted directly for a complete logical-operation failure model.

[R] Surface-code resource analysis explicitly connects fault-tolerant operations with physical space and execution requirements.

Source: Fowler and colleagues, Surface codes: Towards practical large-scale quantum computation, published in Physical Review A, 2012. arxiv.org

Recommended interpretation: ask whether the processor meets the failure budget of the intended computation, rather than whether its logical qubits are better than its physical qubits under one experiment.

9.7. Decoder capacity requires two separate inequalities

For planning, define:

  • Rs: syndrome-information arrival rate.
  • Rd: sustained decoding-processing rate.
  • Ld: decision latency.
  • Lmax: maximum latency tolerated by the relevant feedback operation.

The proposed acceptance conditions are:

Rd > Rs

with sufficient operating margin, and

Ld ≤ Lmax

at the required tail probability.

Decoder indicatorProposed management use
Sustained processing rateEstablish whether backlog remains bounded
Median latencyDescribe ordinary operation
High-percentile latencyTest deadline reliability
Maximum tested block countEstablish demonstrated scale
Response to noise changesTest robustness outside the training distribution
Resource consumptionAssess classical compute, power and cooling
Recovery behaviourEstablish what happens after interruption or overload

Recommended interpretation: a fast average decoder can still fail an operational requirement if a small fraction of decisions arrive too late. The scenario should advance only when both conditions are met at the intended scale.

9.8. Manufacturing yield can become a system-level constraint

The following is an illustrative manufacturing model, not an estimate of any supplier’s yield.

Assume a module requires m independent elements, each acceptable with probability y, and that all must pass:

Ymodule = ym.

For m = 1,000:

Assumed element pass probability Derived all-pass module yield
99.9% 36.77%
99.99% 90.48%
99.999% 99.00%

The calculation assumes independent failures and no defect tolerance, repair or redundancy. Real architectures may violate every one of those assumptions.

Recommended industrial test: request the actual acceptance model. The decisive data are qualified module yield, repair success, calibration time and the distribution of performance across commissioned systems.

Production indicatorQuestion it resolves
Device yieldHow frequently fabrication produces an acceptable device
Module yieldHow frequently assembly meets the specification
Commissioning timeHow much specialist effort is needed to reach operation
Inter-system variationWhether one demonstration generalises to production
RepairabilityWhether failed parts can be replaced economically
Long-duration availabilityWhether acceptable initial performance persists

9.9. Constrained scenario: progress continues without broad integrated capability

The numerical thresholds below are [R] planning tests selected for this report. They are not vendor promises or consensus forecasts.

Year-bandError correction and logical registerDecoder conditionManufacturing conditionCryptanalytic conditionResulting assessment
2026–2027Ten simultaneously usable logical qubits with sustained universal operations remain difficult to reproduce across systemsAccuracy gains do not consistently meet feedback deadlinesCommissioning remains heavily specialist-dependentComplete estimates continue to rely on unvalidated integration assumptionsFund components and bounded experiments
2028–2029Registers expand, but a 100-logical-qubit deep workload remains limited by cumulative error or operation costBacklog, latency or adaptation limits usable depthYield and calibration impede expansionNo demonstrated named cryptographic target; estimates remain conditionalRestrict adoption claims to measured workloads
2030–2031A reproducible 200-logical-qubit system at the required depth remains unestablishedClassical processing remains an architectural constraintSupport costs limit replicationNo complete operational attack chain establishedBroad cryptanalytic capability is not assumed within this window

[R] Scenario consequence: sensing and security migration can still produce substantial institutional outputs because their delivery paths are separate from deep logical computation. Computing investment should remain tied to specific unresolved integration problems.

9.10. Base scenario: selected systems become useful within defined limits

Year-bandError correction and logical registerDecoder conditionManufacturing conditionCryptanalytic conditionResulting assessment
2026–2027At least ten usable logical qubits support reproducible, bounded universal-operation experimentsFeedback succeeds for the demonstrated code and scaleRepeat commissioning produces similar performanceResource models improve but retain physical assumptionsExpand well-defined research workloads
2028–2029Systems in the approximately 200-logical-qubit class reach independently verified workload specificationsSustained throughput and latency meet the relevant control budgetQualified modules and replacement procedures emergeRoadmap resources remain distinct from attack resourcesEvaluate application value end to end
2030–2031At least one deep logical application demonstrates reproducible value at its stated register sizeDecoding scales without unacceptable classical overheadUseful systems can be replicated and maintainedA named attack still requires its complete architecture and execution scheduleAdopt selected services; retain cryptanalytic uncertainty

[R] Scenario consequence: this branch permits early fault-tolerant services without assuming general-purpose economic advantage. The defining evidence is a completed workload with a meaningful conventional comparison.

9.11. Accelerated scenario: several bottlenecks improve together

Year-bandError correction and logical registerDecoder conditionManufacturing conditionCryptanalytic conditionResulting assessment
2026–2027At least 100 logical qubits execute an appropriate universal-operation workload with documented success probabilityAI and conventional decoding meet tested feedback deadlinesRepeated modules retain the demonstrated performanceAlgorithmic improvements reduce complete resource requirementsReassess the pace of integration
2028–2029At least 1,000 usable logical qubits are available for deep computation, including necessary ancillary resourcesDecoder capacity scales across simultaneous blocksProduction, interconnect and calibration meet system requirementsComplete named-scheme models become consistent with a credible architectureAccelerate verification and security reviews
2030–2031At least 2,000 usable logical qubits support the required deep workload; factory and memory resources are separately accounted forSustained operation meets throughput and latency requirementsLarge systems remain stable over the required execution durationCryptanalytic capability becomes credible only if every target-specific resource condition is satisfiedTreat earlier arrival as a contingency requiring direct evidence

[R] Scenario consequence: this is a demanding conjunction of assumptions. A larger logical register alone does not activate the branch. Error budgets, non-Clifford production, interconnects, control and sustained operation must improve together.

These thresholds are designed to test institutional preparedness against faster progress. They should not be published as expected delivery dates.

9.12. Cryptographic relevance is a target-specific resource test

The previously established RSA and ECC estimates should be used as workload tests, without repeating their introductory resource tables here.

[R] Gidney’s RSA-2048 analysis explicitly includes distinct compute, hot-storage and cold-storage regions, state-production resources and physical timing assumptions. It also leaves detailed cold-storage workload analysis as future work.

Source: Gidney, How to factor 2048 bit RSA integers with less than a million noisy qubits, author preprint first submitted May 2025, retrieved version inspected October 2026. arxiv.org

A roadmap should pass the following mapping before receiving a cryptanalytic interpretation:

Attack-resource fieldRequired roadmap correspondence
Named scheme and parameterExact target represented by the estimate
Logical algorithm registerSimultaneously available algorithm qubits
Ancillary resourcesWorkspace, routing, preparation and verification
T/Toffoli requirementDemonstrated production and consumption schedule
Error correctionApplicable code, distances and noise assumptions
Physical overheadComplete allocation rather than one encoding ratio
RuntimeTiming, repetition and control delays
Success probabilityCombined algorithmic and physical failure treatment
Sustained operationAvailability across the required execution period

[R] Assessment: the selected roadmaps examined here announce important prospective capabilities, but do not establish a verified operational attack against a named standard-sized cryptographic target by 2031. That finding does not prove such an attack is impossible within the window; it means its arrival cannot be treated as demonstrated or scheduled fact.

9.13. Migration deadlines can precede the adversarial computer

[P] Cryptographic transition instruments impose institutional work independently of a demonstrated adversarial quantum computer. The applicable US and UK records establish migration planning and implementation responsibilities.

Sources: White House, Executive Order 14412, June 2026; UK NCSC, Timelines for migration to post-quantum cryptography, March 2025. www.whitehouse.gov

Analytical judgment: the ordering is coherent because an owner must discover dependencies, replace incompatible equipment, preserve service continuity and protect information whose confidentiality extends beyond the transition period.

The recommended scenario response should therefore avoid tying migration funding to a forecast of a particular machine’s arrival. Slower computing progress may alter the assessed urgency of some exposures, but does not erase applicable requirements or make unmaintained cryptographic dependencies acceptable.

9.14. Branch-switching indicators

ObservationRecommended assessment change
Logical-error suppression stalls under representative operationsMove the computing outlook toward constrained
Decoder meets accuracy but misses control deadlinesHold the scale assessment
Several commissioned systems reproduce performanceStrengthen the manufacturing branch
Deep application result survives a stronger classical comparisonStrengthen the useful-computing branch
Complete attack estimate becomes materially cheaperReassess cryptanalytic contingency
Widely deployed PQC implementation has a reproducible vulnerabilityInitiate scheme- or implementation-specific remediation
Field sensor demonstrates mission value across environmentsAdvance that application independently
Programme funding is released but milestone delivery remains unclearReview execution before expanding commitments

Chapter 9 — Key judgments

[D] AI has demonstrated improvements in decoding and control under specified conditions. The decision changed is whether to fund those bottlenecks with explicit latency, robustness and integration tests. See AlphaQubit and the July 2026 control study.

[R] Roadmaps inside the window describe different metrics and levels of integration. The decision changed is whether a target can be mapped onto a complete workload, rather than compared through headline qubit counts.

Analytical judgment: the base planning position should permit useful selected systems while retaining “not within this window” for a verified cryptanalytic service. Preparedness for the accelerated branch should come through migration and monitoring, without treating the branch as a forecast.

What would change the assessment

Independent deep-circuit validation; scalable low-latency control; reproducible manufacturing; complete named-target attack resources; or a useful application result that persists against improved conventional alternatives.

Open official record

The unresolved variables include simultaneous usable logical capacity, complete operation costs, decoder scaling, production yield and sustained availability. Assigning precise probabilities to the scenarios would exceed the evidence examined here.

Chapter 10 — Implications for Decision-Makers

10.1. Action matrix

The matrix is prescriptive:

  • ACT NOW: undertake authorised implementation or readiness work.
  • FUND AND WATCH: support a bounded experiment that resolves a material uncertainty.
  • DO NOT BUY: withhold capability procurement until the required evidence exists.
  • RETIRE THE CLAIM: remove an unsupported assertion from planning or communication.
Application or claimCivil governmentDefenceCritical infrastructureEnterprise
PQC dependency discoveryACT NOW: establish owners and inventoryACT NOW: use applicable national-security profilesACT NOW: identify operational and supplier dependenciesACT NOW: map services and installed verifiers
PQC integrationACT NOW: test priority servicesACT NOW: test authorised interoperabilityACT NOW: preserve continuity and recoveryACT NOW: coordinate platform and supplier transitions
Advanced timingFUND AND WATCH: test delivered serviceFUND AND WATCH: representative holdover and synchronisationFUND AND WATCH: endpoint timing and continuityFUND AND WATCH: only for defined requirements
Magnetic or inertial navigationFUND AND WATCH: integrity and authorisationFUND AND WATCH: representative contested conditionsFUND AND WATCH: route-specific trialsDO NOT BUY: universal performance claims
Gravity surveyingFUND AND WATCH: benchmark the survey productFUND AND WATCH: blinded target trialsFUND AND WATCH: site-specific comparisonFUND AND WATCH: complete ownership-cost test
Biomedical quantum sensingFUND AND WATCH: clinical endpoint and authorisationFUND AND WATCH: defined medical requirementDO NOT BUY: unsupported diagnostic benefitDO NOT BUY: research result sold as clinical service
Fixed-link QKDFUND AND WATCH: bounded assurance caseDO NOT BUY: absent applicable approvalFUND AND WATCH: availability and trusted-node reviewFUND AND WATCH: incremental value against alternatives
Memory-based quantum networksFUND AND WATCH: research infrastructureFUND AND WATCH: defined experimental requirementDO NOT BUY: claimed operational protection without evidenceDO NOT BUY: production-service claims from experiments
Rydberg RF receiversFUND AND WATCH: complete receiver performanceFUND AND WATCH: waveform and platform trialsFUND AND WATCH: specific monitoring needDO NOT BUY: range substituted for instantaneous bandwidth
Deep logical computingFUND AND WATCH: verifiable workloadsFUND AND WATCH: mission comparatorFUND AND WATCH: bounded useful problemFUND AND WATCH: total workflow value
Operational quantum radarDO NOT BUY: absent system evidenceDO NOT BUY: absent representative acceptanceDO NOT BUY: unsupported range claimsDO NOT BUY: laboratory analogy sold as service
“Unhackable quantum link”RETIRE THE CLAIMRETIRE THE CLAIMRETIRE THE CLAIMRETIRE THE CLAIM
“AI solves fault tolerance”RETIRE THE CLAIMRETIRE THE CLAIMRETIRE THE CLAIMRETIRE THE CLAIM
Physical qubits equated with cryptanalytic capacityRETIRE THE CLAIMRETIRE THE CLAIMRETIRE THE CLAIMRETIRE THE CLAIM

[P] The standards and agency guidance provide the foundation for the security rows; [D]/[C] the experiments and trial reports in Chapters 6–7 provide the application boundaries.

Reference points: NIST FIPS 203, NSA guidance, DARPA RoQS, and DARPA QBI. csrc.nist.gov

10.2. A decision should identify the owner, the uncertainty and the exit condition

The recommended decision memorandum should contain six fields:

FieldRequired content
Decision ownerPerson or body authorised to accept the outcome
Intended outcomeSecurity function, scientific result or mission effect
Present evidenceDemonstration, instrument, roadmap or claim
Uncertainty to resolveQuestion the next expenditure will answer
Acceptance conditionMeasurable evidence required to continue or adopt
Exit conditionCircumstance requiring redesign, pause or termination

This structure permits ambitious work while preserving accountability. A programme can continue despite uncertainty when its next experiment is designed to resolve that uncertainty and the decision owner understands the remaining exposure.

10.3. Proposed first-year implementation sequence

The following periods are recommended management intervals, not statutory deadlines.

IntervalWork to completeReviewable output
First 90 daysIdentify decision owners, priority exposures and active quantum commitmentsPortfolio register with evidence tags and applicable authorities
Months 3–6Define migration dependencies, pilot questions and supplier information requirementsApproved test plans and dependency maps
Months 6–9Execute representative tests and inspect financial implementationResults linked to acceptance criteria
Months 9–12Decide expansion, redesign or terminationUpdated investment and acquisition decisions

For cryptography, the sequence should be aligned with applicable mandates. For research, its purpose is to prevent indefinite continuation without a measurable question.

10.4. Expenditure should purchase evidence or an accepted service

Expenditure typeRecommended contracting focus
Research grantReproducible result and uncertainty resolved
Prototype contractIntegrated performance under stated conditions
Infrastructure investmentAccess, utilisation, support and retained capability
Capability procurementAccepted operating envelope and service continuity
Supplier-development supportQualified production and replacement capacity
Migration expenditureVerified transition of a defined security function

Recommended financial discipline: record capital expenditure, operating cost, specialist staffing and replacement obligations separately. A low initial equipment price should not determine the choice when calibration, support or infrastructure dominate the service.

10.5. Proposed portfolio indicators

IndicatorNumerator or measurementDenominator or reference
Cryptographic inventory coverageAssessed priority systemsDefined priority-system population
Migration completionServices passing approved transition testsServices scheduled for transition
Exception exposureUnresolved exceptions weighted by consequenceComplete exception register
Demonstration reproducibilitySuccessful independent repetitionsPlanned relevant repetitions
Manufacturing consistencyCommissioned systems passing specificationCommissioned systems tested
Operational availabilityTime delivering the required serviceRequired service time
Evidence conversionExperiments resolving their stated uncertaintyExperiments completed
Adoption conversionSystems accepted by a named ownerSystems proposed for adoption

These indicators are intended to measure implementation. Publication counts, partnerships and announced investment can remain contextual measures, but should not replace them.

10.6. Capability contracts should preserve evaluation and transition rights

The recommended contract should define access to the data needed to verify performance, the accepted configuration, changes requiring re-evaluation and the rights needed to transition if the supplier or architecture changes.

Contract provisionPurpose
Performance-data accessPermit independent assessment
Configuration identificationEstablish what was tested and accepted
Change notificationPrevent unsupported extrapolation after modification
Support commitmentPreserve service continuity
Calibration and maintenance documentationReduce dependence on undocumented expertise
Interoperability specificationDefine supported peers and interfaces
Data portabilityPreserve institutional work and evidence
Failure and recovery procedureEstablish a controlled response
Replacement or transition provisionPreserve options if the service becomes unsuitable

10.7. Public reporting should preserve epistemic status

A recommended public statement should name the experiment or instrument, describe what it establishes and retain the relevant limit. A technical milestone can be communicated strongly without upgrading it into an operational capability.

[H] Statements that turn a programme objective into a completed deployment, or convert a component result into a whole-system guarantee, should be removed from official reporting.

Chapter 10 — Key judgments

Recommended decision: act on cryptographic migration through the relevant authorities, fund bounded application trials, and make capability procurement depend on representative acceptance evidence.

Recommended investment rule: the next expenditure should purchase an accepted service, a reproducible production capability or an answer to a material uncertainty.

Recommended reporting rule: preserve the distinction between delivered capability and funded ambition in every decision memorandum.

What would change the assessment

Accepted service-level results, repeated production performance, clarified operating costs or evidence that a programme’s intended advantage no longer survives comparison with conventional alternatives.

Open official record

Portfolio-level spending and programme announcements are often easier to obtain than acceptance results and continuing costs. Acquisition authorities should make those latter records part of the delivery requirement.

Chapter 11 — Annexes

11.1. Glossary and terminology controls

The definitions below establish the report’s usage. They are not capability claims.

TermMeaning in this reportTerminology to reject or qualify
Physical qubitPhysical degree of freedom used to encode quantum information“Qubit” without identifying the physical or logical level
Logical qubitEncoded information protected under a specified error-correction constructionEquating one logical qubit with a fixed universal physical overhead
Error-corrected memoryProtected storage of a quantum state under stated conditionsDescribing storage alone as universal computation
Fault-tolerant operationOperation designed to limit error propagation under stated assumptionsAssuming a complete machine from one protected gate
Fault-tolerant computerIntegrated system meeting the error budget of its computationsUndefined “fully error-free computer”
Code distanceParameter associated with the protection of a specified codeComparing distances across different architectures without context
DecoderClassical process inferring an appropriate response from error informationEquating decoding accuracy with feedback suitability
SyndromeInformation obtained from checks used in error correctionTreating it as a direct measurement of the protected logical state
T/Toffoli resourcesNon-Clifford computational resources counted under a stated modelComparing them directly with an undefined total gate count
Magic-state productionPreparation and processing supporting relevant logical operationsOmitting its space, time and error costs
Quantum advantageBetter performance on a stated task against a specified comparatorUnqualified “faster than every classical computer”
Useful advantageAdvantage relevant to an intended outcome after full workflow costsInferring economic value from a benchmark alone
QKDQuantum key distribution under a specified protocol and device model“Unhackable communications”
QSDCQuantum-secure direct communication under a stated constructionTreating it as interchangeable with QKD
PQCClassical cryptographic constructions designed for quantum resistanceDescribing PQC as requiring quantum hardware
KEMKey-encapsulation mechanismCalling a KEM the complete payload-encryption service
Digital signatureMechanism supporting authenticity and integrity under a trust modelEquating signature protection with confidentiality
Trusted nodeIntermediate node whose security forms part of the assurance assumptionsClaiming unconditional end-to-end protection without addressing it
Quantum repeaterArchitecture for extending quantum-network functionalityCalling every trusted QKD relay a repeater in this sense
Quantum sensingMeasurement using an identified quantum mechanismAssuming every sensor has the same maturity or operational advantage
HoldoverTiming performance after loss of an external reference“GNSS independence” without a duration and error specification
Quantum radarLabel requiring an identified sensing and receiver mechanismAssuming long-range target capability from the label
Crypto-agilityControlled ability to replace cryptographic dependenciesUnrestricted algorithm negotiation
SovereigntySpecified control over design, production, operation or continuityTreating installation location as complete technological control

Foundational references: NIST FIPS 203, FIPS 204, FIPS 205, and Fowler et al., Surface-code architecture and operations. csrc.nist.gov

11.2. Claim-correction log

The statements below are assertions to test and correct; the table does not quantify their prevalence.

AssertionClassificationPrecise correctionEvidence reference
“A processor with thousands of physical qubits can recover a standard ECC key.”[H]Requires a complete logical and physical attack implementation, not a physical-qubit countP-256 resource study
“A published PQC standard means the organisation has migrated.”[H]Publication specifies the algorithm; migration requires implementation and system verificationFIPS 203
“QKD removes the need for authentication.”[H]Authentication remains part of the assurance architectureNSA QKD guidance
“A long QKD route is a quantum-repeater network.”[H]Trusted relaying and memory-based entanglement networking are distinct architecturesJoint European QKD position
“A noiseless simulation is a larger quantum-hardware demonstration.”[H]Preserve the distinction between simulated representation and executed hardwaremRNA conference record
“An airborne gravimeter survey demonstrates navigation without GNSS.”[H]The cited survey used GNSS support and measured gravity-survey performanceIceland–Greenland campaign
“A naval clock trial establishes fleet-wide operational capability.”[H]A trial report requires subsequent performance specification and acceptance evidenceRoyal Navy August 2026 trials
“AI has solved fault tolerance.”[H]Selected decoding and control improvements do not establish the complete architecture2026 reinforcement-learning study
“The largest announced programme budget identifies the leading nation.”[H]Compare accounting status, period, outputs and controlled dependenciesUS financial reporting categories
“A 2029 fault-tolerant roadmap is a scheduled cryptanalytic service.”[H]Match the roadmap to the named attack’s complete resources and sustained executionIBM roadmap and RSA resource model

11.3. Uncertainty register

UncertaintyConsequence for decisionsEvidence that would reduce itInterim treatment
Complete logical-operation error budgetLimits credible deep workload sizeRepresentative integrated operationsRetain workload-specific qualification
Simultaneous usable logical capacityLimits roadmap interpretationExecution with the claimed active registerSeparate memory and computation
Non-Clifford resource productionLimits runtime and physical allocationSustained production with accepted errorRequire explicit factory accounting
Decoder tail latencyCan constrain feedbackRelevant latency distribution at scaleHold scale claims pending testing
Noise outside the evaluated modelCan invalidate resource projectionsRepresentative correlated-error testsPreserve model assumptions
Production yieldDetermines replication cost and paceQualified multi-device and module recordsTreat one device as insufficient
Calibration and maintenance burdenDetermines sustainable availabilityLong-duration service recordsInclude specialist costs
Critical-component continuityAffects industrial resilienceQualified alternative supply pathsMaintain dependency register
Comparative application valueAffects adoption and investmentStrong conventional benchmarkFund bounded comparisons
Target-specific cryptanalytic resourcesAffects contingency planningComplete reproducible estimate or attackAvoid a single arrival date
PQC implementation assuranceAffects present cybersecurityValidation and reproducible testingMaintain update and replacement paths
National financial comparabilityAffects geopolitical rankingsReconciled fiscal and programme seriesDo not publish an aggregate ranking
Operational accreditationAffects procurement authorityNamed acceptance and approved scopeRetain trial classification
Financial executionAffects programme completionReleased and utilised funds linked to milestonesReview implementation separately

11.4. Readiness recording template

Every application entry should preserve both axes:

FieldRequired entry
ApplicationSpecific service or mission
MechanismComputing, QKD, QSDC, PQC, symmetric cryptography or identified sensor
Evidence tagD, P, R, C or H
Date and sourcePublication and retrieval dates
PlatformNamed hardware or infrastructure
MetricMeasured performance or explicit programme target
ConditionsEnvironment, comparator and assumptions
Technical readinessLaboratory phenomenon; component; integrated prototype; limited field trial; series or accredited deployment
Institutional readinessNo owner; research programme; requirement; procurement; doctrine and logistics
Acceptance authorityNamed body or unresolved status
LimitationWhat the evidence does not establish
Next decisionContinue, test, adopt, redesign or stop

This template prevents technical results and institutional status from being collapsed into a single maturity score.

11.5. Source register — industrial programmes, scenarios and policy instruments

All records below were retrieved on 4 October 2026. Dates describe the source or instrument, rather than the date on which the claimed future capability will exist.

IDSourceDate / statusPrincipal use
I-01NSTC — NQI FY2025 budget supplementDecember 2024Federal financial categories and programme scope
I-02UK — National Quantum StrategyMarch 2023Funding commitment and national framework
I-03UK — National Quantum Strategy MissionsNovember 2023Prospective mission milestones
I-04European Commission — Quantum Europe StrategyJuly 2025Industrial coordination and policy objectives
I-05European Commission — Quantum policy recordMaintained pageFlagship, EuroHPC and forthcoming Act
I-06France DGE — national strategy accelerationMay 2026Financial announcement and PROQCIMA revision
I-07Germany — Handlungskonzept QuantentechnologienApril 2023Framework and prospective milestones
I-08Bundestag — action-concept committee discussionMay 2023Reported financing categories
I-09Germany — federal research and innovation report2026Transition toward usable systems
I-10China — Fifteenth Five-Year PlanMarch 2026Quantum policy priority
I-11Japan — quantum ecosystem measuresMay 2025Industrialisation and dependencies
I-12Japan — strategy and cooperation registerMaintained pageCurrent policy and cooperation instruments
I-13India — National Quantum Mission, Hindi parliamentary responseFebruary 2026Mission governance and targets
I-14India — institution-level financial responseMarch 2026Sanctioned, released and utilised funds
I-15Israel Innovation Authority — national infrastructure callJuly 2026Multi-platform R&D infrastructure
I-16Australia — State of Australian Quantum, progress2024Project support and programme activities
I-17Canada — national strategy, French versionOfficial strategy recordFunding, talent and commercialisation
I-18Italy — national quantum strategy adoptionJuly 2025National coordination framework
I-19US Federal Register — advanced-technology controlsSeptember 2024Introduction of specified quantum controls
I-20BIS — control implementation announcementSeptember 2024Deemed-export and reporting context
I-21BIS — Interactive Commerce Control ListMaintained referenceConsolidated classification entry point
S-01IBM — hardware and roadmapMaintained recordStarling target
S-02Quantinuum — accelerated roadmapSeptember 2024Original Apollo framing
S-03Quantinuum — Stage B announcementNovember 2025Updated roadmap statement
S-04DARPA — Quantum Benchmarking InitiativeMaintained programmeVerification and value-versus-cost test
S-05Bausch et al. — high-accuracy decodingNovember 2024AI decoder evidence and speed limits
S-06Sivak et al. — reinforcement-learning controlJuly 2026Hardware control improvement
S-07Fowler et al. — surface-code computationPublished 2012Fault-tolerant architecture
S-08Gidney — RSA-2048 resource analysisPreprint first submitted May 2025Complete resource-model inspection

11.6. Source register — security and application evidence carried forward from Pillar II

This register consolidates the principal security and application records from the supplied block. Their original experimental conditions and numerical results remain in Chapters 5–7.

IDSourceDate / statusEvidence role
C-01NIST FIPS 203 — ML-KEMAugust 2024Final standard
C-02NIST FIPS 204 — ML-DSAAugust 2024Final standard
C-03NIST FIPS 205 — SLH-DSAAugust 2024Final standard
C-04NIST — HQC selectionMarch 2025Selection and prospective standardisation
C-05NIST — PQC current recordMaintained pageStandards and candidate status
C-06NIST — PQC FAQsMaintained pageSymmetric-cryptography assessment
C-07NSA — post-quantum resourcesMaintained guidanceNSS instruments and QKD position
C-08ANSSI — QKD guidanceMay 2020Scoped communications guidance
C-09ANSSI — PQC follow-up guidance2023 follow-upHybrid migration
C-10Joint European QKD positionJanuary 2024Assurance and migration priorities
C-11White House — Executive Order 14412June 2026Scoped transition instrument
C-12European Commission — coordinated PQC roadmapJune 2025Member-state coordination
C-13NCSC — migration timelinesMarch 2025Discovery and transition planning
C-14Roetteler et al. — ECC resourcesPublished 2017Logical-circuit resource model
C-15Long et al. — QSDC fibre experimentApril 2022Physical communication experiment
C-16Knaut et al. — memory nodes in telecom fibreMay 2024Quantum-network experiment
A-01BIS — Project Leap phase 2December 2025Payment-system migration pilot
A-02Toshiba — HSBC metropolitan QKD trialJuly 2023Named commercial-trial announcement
A-03IBM Research — mRNA conference paperAugust 2025Hardware and simulation distinction
A-04mRNA author preprintMay 2025Version-specific research record
A-05ORNL — trusted-node QKD at a utilityPublished 2021Field integration
A-06Jensen et al. — airborne gravimetryApril 2025Survey field evidence
A-07Boto et al. — wearable MEGMarch 2018Human research prototype
A-08Magnetic-navigation author preprintApril 2025Author-reported field results
A-09PTB — realisation of the SI secondMaintained recordNational time-metrology function
M-01Royal Navy — radar-clock trialsAugust 2026Institutional trial report
M-02Royal Navy — P2000 clock trialJune 2025Named maritime trial
M-03Dstl — atomic-clock developmentFebruary 2026Unattended-operation report
M-04DARPA — RoQSMaintained programmeRobust sensor development
M-05DARPA — RoQS first phaseAugust 2025Prospective platform testing
M-06Stray et al. — gravity cartographyFebruary 2022Outdoor subsurface experiment
M-07DARPA — Quantum AperturesCompleted-programme referenceRF-receiver research
M-08DARPA — spectrum-sensing team selection2021Programme targets
M-09NATO — quantum strategy summaryJanuary 2024Alliance objectives
M-10Canada DND — Quantum S&T implementation planMarch 2023Defence research missions and targets

11.7. Quantitative provenance rules

Number typeRequired treatment
Measured performanceDate, platform, conditions, uncertainty and comparator
Programme budgetCurrency, period, accounting status and scope
Roadmap targetNamed owner, publication version and prospective status
Resource estimateTarget scheme, architecture, code, overhead and runtime assumptions
Derived arithmeticFormula and input values
Illustrative scenarioExplicit assumptions and analytical purpose
National comparisonReconciled scope and avoidance of double counting
Operational claimTrial, contract, acceptance or doctrine evidence

The manufacturing-yield calculation, utilisation percentages and failure-budget examples in this block are identified as derived or illustrative. They should not enter an empirical database without those labels.

11.8. Closing adjudication

Analytical judgment: the strategic task for 2026–2031 is to protect enduring information, convert bounded experiments into accepted services, and retain the industrial capabilities needed to reproduce those services. Progress in computing, communications and sensing should be evaluated through their separate technical and institutional requirements.

[R] Public roadmaps permit serious consideration of early fault-tolerant computing within the window, but do not establish a verified cryptanalytic service by its end. [P] Security-transition instruments already provide responsibilities that can be acted upon. [D] Selected experiments establish real technical progress, while leaving application-specific adoption questions to be resolved.

The resulting decision standard is demanding but usable: finance the work that resolves a consequential uncertainty, procure the service that passes its acceptance conditions, and preserve the distinction between what has been demonstrated and what remains an ambition.


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