CoqQ: Foundational Verification of Quantum Programs

Author:

Zhou Li1ORCID,Barthe Gilles2ORCID,Strub Pierre-Yves3ORCID,Liu Junyi4ORCID,Ying Mingsheng5ORCID

Affiliation:

1. MPI-SP, Germany / Institute of Software at Chinese Academy of Sciences, China

2. MPI-SP, Germany / IMDEA Software Institute, Spain

3. Meta, France

4. Institute of Software at Chinese Academy of Sciences, China / University of Chinese Academy of Sciences, China

5. Institute of Software at Chinese Academy of Sciences, China / Tsinghua University, China

Abstract

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Safety, Risk, Reliability and Quality,Software

Reference77 articles.

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