基于自适应的量子算法的量子拓扑计算

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum topology, a rapidly emerging field of quantum physics, offers unprecedented opportunities for computational discovery. Traditional quantum algorithms often struggle with the complexities of topological data analysis, particularly for intricate and highly connected topological structures. This paper explores the application of a novel, self-adaptive quantum algorithm to facilitate the efficient and accurate solution of topological problems. We introduce a framework predicated on the inherent adaptability of quantum algorithms, enabling rapid solution of complex topological challenges. A specific quantum algorithm is proposed, demonstrating significant improvements in solving a benchmark problem. The paper details the core mechanism of this adaptive approach and outlines its potential impact on the field of quantum topology. We present a comprehensive analysis of the algorithm's design, validation through simulations, and preliminary results, highlighting its promise for advancing the field.

DOI: 10.5281/zenodo.22251782

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