基于形式化验证的量子纠错协议设计

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper explores the application of formal verification techniques to the design and analysis of quantum error correction (QEC) protocols. Traditional QEC protocol design relies heavily on simulations and theoretical arguments, often lacking rigorous guarantees of correctness and security. This work proposes a novel approach by formally modeling QEC protocols and utilizing model checking or theorem proving to verify their properties. The core claim is that formal verification provides a pathway to significantly enhance the reliability of QEC protocols. Specifically, we demonstrate how to represent a simplified surface code protocol as a formal model, and subsequently employ a model checking algorithm to confirm the protocol's ability to correct a specified number of errors. This represents a crucial step towards building trust in QEC implementations, particularly in the face of increasing qubit complexity and noise. The results highlight the potential of formal verification as a foundational tool for advancing the field of quantum information science.

DOI: 10.5281/zenodo.22153075

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