拓扑几何与量子纠缠的耦合机制

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper investigates the potential coupling between topological geometry and quantum entanglement. We propose a novel framework, leveraging the inherent properties of quantum entanglement to establish a fundamental connection between these two fields. The core idea is to define a mechanism for "quantum topological state transitions" – a process intrinsically linked to the self-similarity of quantum systems – and then utilize this mechanism within a computational framework designed to explore and manipulate topological geometry. This exploration aims to unlock new capabilities in topological data analysis and potentially contribute to the development of novel quantum algorithms. The research focuses on establishing a robust mathematical foundation for this coupling, demonstrating its potential impact on both theoretical and practical applications.

DOI: 10.5281/zenodo.22153001

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