基于量子计算的几何拓扑分析

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of quantum computing to revolutionize geometric topology analysis. Traditional methods often struggle with the complexity of topological spaces, necessitating computational approaches. We propose a novel framework utilizing quantum algorithms to investigate intricate geometric structures, aiming to uncover hidden patterns and establish new geometric relationships. This work details the core mechanism, a quantum-enhanced analysis of topological spaces, and highlights the potential for significant advancements in understanding complex geometry. The paper concludes with a discussion of the challenges and future directions of this research.

DOI: 10.5281/zenodo.22196917

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