Quantum Topology for Quantum Computing Algorithm Optimization

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum topology, a novel field of physics, offers a unique approach to manipulating quantum states and exploring complex quantum phenomena. This paper explores the potential of quantum topology to revolutionize algorithm optimization within the realm of quantum computing. We propose a new algorithmic framework, 'Quantum Topology Optimization', predicated on the principles of quantum topology to enhance the efficiency and performance of various quantum algorithms. The core mechanism leverages the inherent properties of quantum topology to guide the optimization process, leading to significant improvements in computational outcomes. The paper details the theoretical underpinnings, implementation considerations, and preliminary results demonstrating the effectiveness of this approach. We conclude with a discussion of the challenges and future directions of this research.

DOI: 10.5281/zenodo.22280228

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