基于量子自适应几何的拓扑计算

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces a novel framework for quantum-assisted topological computation, leveraging the unique properties of quantum self-adapted topology. We propose a computational algorithm that significantly accelerates topological data analysis, offering improved efficiency in the computation of complex topological structures. The core mechanism involves constructing a quantum-enhanced topological data structure via the application of quantum self-adapted topology, enabling the rapid analysis of topological data. This work addresses a long-standing challenge in topological computation – the inherent computational complexity – and demonstrates the potential for substantial speedups through quantum acceleration. We will present theoretical analysis and preliminary experimental results illustrating the effectiveness of this approach.

DOI: 10.5281/zenodo.22266704

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