Formal Specification of Quantum Error Correction Codes

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper presents a novel approach to quantum error correction (QEC) by formally specifying QEC codes using mathematical logic. The core idea is to translate the mathematical definitions and properties of QEC codes into logical formulas, enabling automated verification and facilitating the design of new, more efficient codes. This approach moves beyond intuitive understanding and provides a rigorous, verifiable framework. The paper outlines the methodology, demonstrates its application with a simplified example, and highlights the potential benefits of this formal specification technique for QEC research and development. The focus is on building a foundation for automated code design and analysis, crucial for the practical implementation of large-scale quantum computers. This work contributes to a more robust and trustworthy approach to QEC, addressing the challenges of complexity and verification inherent in traditional design methods.

DOI: 10.5281/zenodo.22155634

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