拓扑学与量子计算的融合模型

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper investigates the potential for a unified model integrating topology and quantum computation, specifically focusing on the analysis of quantum systems and their associated topological structures. We propose a novel framework that combines established topological concepts with quantum mechanical principles to provide a deeper understanding of these intricate phenomena. The core aim is to identify novel applications of quantum computation within the realm of topological physics, exploring how quantum algorithms can be leveraged to uncover and manipulate topological properties. This research aims to advance our understanding of the relationship between topology and quantum mechanics, potentially leading to new theoretical insights and practical applications. The work will examine various aspects of this integration, including the representation of topological phases, quantum algorithms for topological data analysis, and the potential for topological quantum error correction. The paper will conclude by discussing the challenges and future directions of this research.

DOI: 10.5281/zenodo.22290350

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