拓扑信息在量子算法设计中的应用

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper investigates the potential of applying topological information to quantum algorithm design, aiming to enhance both the efficiency and robustness of existing quantum algorithms. Traditional quantum algorithm design heavily relies on classical computational techniques, while topological information offers a novel perspective. We explore the conceptual framework of leveraging topological properties to construct quantum circuits with enhanced capabilities and resilience. The core of this research focuses on a new quantum algorithm predicated on the manipulation of topological states, demonstrating its potential to surpass existing approaches in certain computational tasks. We will detail the theoretical underpinnings, potential implementations, and preliminary experimental results demonstrating the efficacy of this approach. The paper concludes with a discussion of future research directions and the implications of this technology for the field of quantum computing.

DOI: 10.5281/zenodo.22293823

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