基于量子拓扑的几何变换算法的优化

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum topology offers a fundamentally new approach to geometric optimization, leveraging the unique properties of quantum systems to achieve automated, efficient solutions. This paper explores the application of quantum topology to a specific geometric transformation problem, presenting a novel algorithm that circumvents the limitations of traditional optimization techniques. The core mechanism centers around the design of a quantum-inspired transformation process, designed to exploit quantum entanglement and superposition to guide the optimization process. We demonstrate the effectiveness of this approach through a detailed analysis of a chosen geometric transformation, highlighting its advantages in terms of speed and accuracy. The research investigates the potential for future expansion and refinement of this quantum-based optimization technique, providing a foundation for further exploration into this promising field.

DOI: 10.5281/zenodo.22267911

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