基于量子计算的复杂拓扑结构分析
Jincheng Zhang
Abstract
This paper explores the potential of quantum computing to revolutionize the analysis of complex topological structures. Traditional computational methods often struggle to effectively model and compute the intricate properties of these structures due to their inherent complexity. We propose a novel quantum algorithm designed to address these limitations, focusing on precise modeling and calculation of topological invariants. The core mechanism of this approach leverages quantum parallelism to accelerate the process of determining fundamental characteristics of these structures. This work provides a conceptual framework and preliminary results demonstrating the feasibility of quantum computing for tackling this challenging problem. The paper concludes with a discussion of future research directions and potential applications.