基于动态拓扑的量子算法验证框架

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum algorithms, due to their inherent fragility and susceptibility to errors, require rigorous verification. Traditional verification methods often rely on exhaustive testing, which is computationally expensive and impractical for complex quantum systems. This paper introduces a novel framework, "Dynamic Topological Verification," (DTV) that leverages the principles of dynamic topology to validate quantum algorithms. DTV dynamically constructs and analyzes topological structures within the quantum circuit, ensuring the algorithm's correctness through self-consistent and adaptive adjustments. This approach offers enhanced reliability and robustness, surpassing conventional verification techniques. The framework's core mechanism involves the construction of a topological graph representing the quantum circuit, followed by a process of iterative refinement and verification based on these graphs. We demonstrate the effectiveness of DTV through the analysis of a simplified quantum algorithm, showcasing its ability to detect subtle errors and improve the algorithm's performance.

DOI: 10.5281/zenodo.22637228

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