拓扑结构与量子算法

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the application of topological structures in quantum algorithms, aiming to enhance their efficiency and reliability. We explore the potential of utilizing topological properties to design novel quantum algorithms that offer significant advantages over traditional approaches. The core mechanism focuses on leveraging topological invariants to guide quantum computation, reducing the need for complex optimization and improving overall performance. The study analyzes various topological concepts and their implications for quantum algorithm design, proposing a new algorithm predicated on these principles. This work presents a conceptual framework for integrating topological analysis into quantum algorithm development, demonstrating the potential of this approach to advance the field. The paper concludes with a discussion of future research directions and the challenges associated with implementing this concept.

DOI: 10.5281/zenodo.22186934

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