基于量子几何的拓扑变换的量子算法验证

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the application of quantum geometry to validate quantum algorithms, offering a novel approach to algorithm verification. Traditional methods rely on classical verification, which struggles to fully capture the intricacies of quantum algorithms. We propose a new methodology leveraging quantum geometric models to rigorously assess the correctness and stability of quantum computations. The core mechanism involves constructing a quantum geometric representation of the algorithm, and utilizing the inherent properties of quantum geometry – specifically, self-similarity and entanglement – to detect subtle errors and inconsistencies that might be missed by conventional verification techniques. This research aims to provide a robust and efficient method for validating quantum algorithms, addressing limitations of existing approaches.

DOI: 10.5281/zenodo.22184924

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