Title: Formal Verification of Quantum Algorithms for Error Correction

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum computing promises revolutionary advancements across diverse fields, but the inherent fragility of quantum systems necessitates robust error correction. Current error correction techniques often rely on exhaustive testing, a slow and resource-intensive process. This paper proposes a novel formal verification framework for quantum algorithms, leveraging a hybrid approach integrating symbolic manipulation and quantum simulation to rigorously assess the algorithm's error correction capabilities. We demonstrate the effectiveness of this method in verifying crucial aspects of quantum error correction, offering a verifiable pathway towards the reliable implementation of complex quantum computations. The core mechanism involves a dynamic simulation of the algorithm's error correction process, coupled with symbolic analysis to identify potential vulnerabilities. This approach provides a significantly more efficient and trustworthy verification method compared to traditional testing strategies.

DOI: 10.5281/zenodo.22298310

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