Adaptive Quantum Topology-Based Geometric Search

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper introduces an innovative geometric search algorithm leveraging the principles of quantum topology. We propose a novel approach that dynamically adjusts geometric search spaces, enhancing search performance through a self-adaptive process. The algorithm utilizes quantum topology to create a continuous, flexible representation of the search space, enabling the discovery of optimal solutions more efficiently than traditional methods. We demonstrate the effectiveness of this technique through a series of simulations and analyses, showcasing improved search results and faster convergence. The core mechanism hinges on the ability to maintain a quantum-informed representation of the search space, allowing for continuous refinement based on evolving conditions.

DOI: 10.5281/zenodo.22294398

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