基于量子纠缠的几何拓扑拓扑验证

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the potential of utilizing quantum entanglement to validate geometric topology, offering a novel approach to topology verification. We propose a novel algorithm that leverages entangled states to dynamically adjust a topological structure, enabling automated detection of potential geometric defects. The core mechanism centers around the manipulation of quantum states to induce subtle changes in the structure, highlighting deviations indicative of topological flaws. This approach promises enhanced verification accuracy and offers a departure from traditional methods, capitalizing on the unique properties of quantum entanglement for topological analysis. The paper details the algorithm's design, its theoretical implications, and preliminary experimental results demonstrating its effectiveness in validating topological structures.

DOI: 10.5281/zenodo.22201493

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