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CoqQ: Foundational Verification of Quantum Programs

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arxiv 2207.11350 v1 pith:D424IKQ3 submitted 2022-07-22 cs.PL

CoqQ: Foundational Verification of Quantum Programs

classification cs.PL
keywords coqqquantumprogramsfoundationallogicmathcompprogramreasoning
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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CoqQ is a framework for reasoning about quantum programs in the Coq proof assistant. Its main components are: a deeply embedded quantum programming language, in which classic quantum algorithms are easily expressed, and an expressive program logic for proving properties of programs. CoqQ is foundational: the program logic is formally proved sound with respect to a denotational semantics based on state-of-art mathematical libraries (mathcomp and mathcomp analysis). CoqQ is also practical: assertions can use Dirac expressions, which eases concise specifications, and proofs can exploit local and parallel reasoning, which minimizes verification effort. We illustrate the applicability of CoqQ with many examples from the literature.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Lean-Quantum: Toward AI-Assisted Formalization of Quantum Information

    quant-ph 2026-07 accept novelty 6.5 full

    A Mathlib-compatible Lean 4 library formalizes the DPI for sandwiched Rényi relative entropy on finite-dimensional systems and supplies reusable quantum-information infrastructure.