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基于拓扑的量子态模拟器

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel quantum state simulator based on topological structures, offering a fundamentally different approach compared to traditional methods. We detail the design and implementation of a quantum state simulator utilizing topological phases to dynamically explore and predict quantum state evolution. The core mechanism involves constructing a topological framework that guides the simulation process, enabling efficient analysis of complex quantum states. We present preliminary results demonstrating the simulator's ability to accurately predict quantum state behavior and provide theoretical insights into quantum computation. The paper highlights the advantages of this approach in terms of computational efficiency and the potential for deeper understanding of quantum phenomena.

DOI
10.5281/zenodo.22327648

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This paper introduces a novel quantum state decomposition method based on topological properties. Traditional approaches often rely on complex quantum circuits, while topological methods offer a more intrinsic and physical description. We propose a method that leverages topological structures to efficiently decompose quantum states and facilitate quantum state computation and evolution. The core mechanism involves constructing and manipulating topological structures to represent the quantum state, enabling optimized calculations and manipulations. The advantages of this approach include improved efficiency, reduced complexity, and a deeper understanding of quantum information. We demonstrate the effectiveness of this method through theoretical analysis and preliminary numerical simulations.
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