Quantum Topology Geometric Optimization Algorithm

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum Topology explores the potential of leveraging quantum mechanics to revolutionize geometric optimization. This paper introduces a novel algorithm, Quantum Topology, predicated on the principles of quantum geometry and topology. We argue that the inherent properties of quantum systems, particularly entanglement and self-similarity, can be harnessed to achieve significantly improved efficiency and accuracy compared to classical optimization techniques. The core mechanism of Quantum Topology centers around the design of quantum optimization algorithms that exploit these properties to navigate complex geometric landscapes. The resulting algorithm demonstrates promising results in optimizing various geometric problems, offering a fundamentally different approach to optimization.

DOI: 10.5281/zenodo.22197836

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