基于量子态的几何拓扑

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper investigates the interplay between quantum states and geometric topology, proposing a novel model leveraging quantum state entanglement and superposition to simulate and analyze quantum systems. We explore how these fundamental properties can be harnessed to create a robust framework for understanding quantum phenomena. The core mechanism centers around establishing a mathematical model that explicitly incorporates quantum state correlations and superposition, offering a pathway to uncover hidden geometric relationships within quantum systems. This work presents a foundational approach to bridging the gap between quantum mechanics and topological geometry, potentially yielding significant insights into the behavior of complex quantum systems. The theoretical framework presented herein offers a unique perspective on the potential for quantum systems to exhibit geometric properties, paving the way for new discoveries in areas such as quantum information theory and materials science. This research aims to provide a conceptual model that could be extended to encompass a wider range of quantum phenomena.

DOI: 10.5281/zenodo.22252152

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