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Jan 1, 2026·Elsevier BV
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Cryptographic Proof and the Law of Verification in the Quantum Era

K. Lee

On June 22, 2026, the White House issued Executive Order 14413, directing the federal government to accelerate the deployment of quantum computing and to assess "the implications for the migration to post-quantum cryptography." The order is the latest and loudest signal of a fact the legal system has not yet absorbed: the cryptographic assumptions behind nearly all digital proof carry an expiration date. Every electronic signature, every encrypted database, and every blockchain transaction rests on math that a sufficiently powerful quantum computer can break. When that computer arrives, adversaries will be able to forge the signatures and decrypt the records on which courts, regulators, and markets now rely. Data stolen today is already being warehoused for decryption tomorrow. Signatures trusted today may be forgeable tomorrow. This Article argues that the quantum transition forces the law to confront a distinction it has long been able to ignore: the difference between probabilistic verification (an intermediary's opinion, an AI confidence score, an auditor's judgment) and deterministic verification (a mathematical result that anyone can independently reproduce). Across digital identity, financial services, insurance, defense, supply chains, and digital assets, organizations prove claims through intermediaries whose honesty cannot be checked and whose methods cannot be reproduced. A small set of well-understood cryptographic tools can replace that fragmented apparatus: hardware-secured signing keys, Merkle tree timestamping, post-quantum signature standards, and zero-knowledge proofs. Together they produce verification that is reproducible, tamper-evident, and quantum-resistant from the outset. The Article makes three contributions. First, it reframes the “verification gap” as a legal problem rather than a technical one, showing how the Federal Rules of Evidence, the Daubert reliability standard, data breach liability doctrine, and fiduciary oversight duties each already point toward deterministic proof. Second, it shows that quantum risk is collapsing the legal defenses built on classical cryptography, most visibly the “it was encrypted” defense in breach litigation, while creating new disclosure and diligence obligations for boards. Third, it maps deterministic verification onto concrete applications in six sectors and proposes a regulatory framework, including a “deterministic assurance level” for evidentiary purposes and a public governance process for the rule schemas that translate law into machine-checkable criteria.

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Law, Rights, and Freedoms
Legal Rights and Human Rights
Legal Systems and Judicial Processes
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