基于量子拓扑的数值模拟方法

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum systems exhibit complex and often unpredictable behavior, posing significant challenges for traditional numerical simulations. This paper introduces a novel approach to quantum system dynamics, leveraging the principles of quantum topology to construct a highly accurate numerical simulation framework. We propose a method based on the inherent topological properties of quantum systems, allowing for a more precise and robust representation of their behavior. This work addresses the limitations of conventional methods by providing a fundamentally new framework for simulating quantum systems, specifically focusing on dynamic processes and offering enhanced accuracy. The core mechanism centers around the manipulation of topology to guide the computation, enabling a deeper understanding of quantum phenomena. We demonstrate the efficacy of this framework through a series of simulations, showcasing its potential to revolutionize the study of complex quantum systems.

DOI: 10.5281/zenodo.22295225

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