基于量子态的非线性拓扑分析

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the application of quantum state theory to the analysis of complex topological systems. Traditional topological analysis often relies on classical models, but we propose a novel framework leveraging the non-linear properties of quantum states to provide a new approach to studying dynamic behavior and evolutionary processes within these systems. The core mechanism involves constructing a quantum state-based topological analysis framework that quantifies the system's dynamics and potential for change. This approach offers a fundamentally different perspective, potentially unveiling previously hidden patterns and offering enhanced predictive capabilities. This work aims to provide a robust and mathematically rigorous foundation for understanding complex topological phenomena through the lens of quantum mechanics.

DOI: 10.5281/zenodo.22191297

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