CoqQ: Foundational Verification of Quantum Programs

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 foundati...

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Vydáno v:Proceedings of ACM on programming languages Ročník 7; číslo POPL; s. 833 - 865
Hlavní autoři: Zhou, Li, Barthe, Gilles, Strub, Pierre-Yves, Liu, Junyi, Ying, Mingsheng
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY, USA ACM 09.01.2023
Témata:
Interactive proof systems
Programming logic
Quantum computation theory
Theory of computation
Program Logics
Proof Assistants
Mathematical Libraries
Quantum Programs
ISSN:2475-1421, 2475-1421
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Popis
Shrnutí: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.
ISSN:2475-1421
2475-1421
DOI:10.1145/3571222