基于拓扑的量子算法设计

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum algorithms are increasingly crucial for tackling complex quantum systems, demanding novel approaches to their design and optimization. Traditional algorithmic design often neglects the inherent topological structure of quantum systems, limiting our ability to effectively leverage these structures for improved performance. This paper introduces a novel quantum algorithm based on topological structures, offering a fundamentally new perspective on algorithm design. We propose a method for dynamically generating and manipulating quantum parameters through the incorporation of topological constraints, thereby optimizing the algorithm's performance for specific quantum systems exhibiting complex topologies. The core mechanism involves utilizing topological concepts to define the algorithm's parameters and guide its execution, resulting in enhanced efficiency and adaptability. This research addresses a critical gap in quantum algorithm development, providing a framework for tackling problems with intricate topological properties.

DOI: 10.5281/zenodo.22185181

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