CoqQ: Foundational Verification of Quantum Programs

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.

Quantum Data Science: Leveraging Data Analytics for Advancing Quantum Computing

“…The following section focuses on Quantum Error Correction and Noise Mitigation [22], covering error correction codes, noise characterization, and mitigation strategies crucial for robust quantum computing. The subsequent section addresses Quantum Software Development Tools and Frameworks [4,11], surveying quantum programming languages [16,25,27,28], development frameworks [5,9,15,17], and simulation tools for designing and optimizing quantum algorithms [2,3,13,19].…”