基于量子拓扑的非线性几何优化算法 (Non-linear Geometric Optimization Algorithm Based on Quantum Topology)

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper introduces a novel non-linear geometric optimization algorithm based on quantum topology. Traditional optimization methods often rely on predefined models, limiting their ability to effectively handle complex systems. This algorithm leverages the inherent adaptability of quantum topology to dynamically optimize system structures, enabling efficient numerical simulations. We propose a framework that utilizes the principles of quantum entanglement and superposition to guide the optimization process, resulting in improved performance compared to conventional approaches. The core mechanism involves mapping the system's structure and objective function into a quantum state space, allowing for parallel exploration of multiple solution spaces. The algorithm's effectiveness is demonstrated through a series of illustrative examples, showcasing its capability to optimize complex geometric structures with high efficiency.

DOI: 10.5281/zenodo.22253198

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