拓扑-空间搜索的量子优化

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper explores the application of quantum optimization to the challenging task of searching and optimizing within complex topological spaces. Traditional optimization algorithms often struggle with the inherent non-linearity and intricate geometries of these spaces, limiting their effectiveness. This research proposes a novel quantum algorithm designed to navigate and manipulate topological structures, ultimately leading to the discovery of optimal solutions. We present a framework that utilizes quantum superposition and entanglement to explore the vast search space of topological spaces, guided by a dynamic optimization process. The core mechanism focuses on exploiting the inherent properties of topological spaces to guide the search towards promising solutions. The proposed algorithm demonstrates the potential for significant advancements in the efficient exploration and optimization of topological structures, offering a new approach to problems requiring intricate geometric manipulation.

DOI: 10.5281/zenodo.22241652

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