基于量子拓扑的全局优化算法
Jincheng Zhang
Abstract
This paper introduces a novel global optimization algorithm based on quantum topology, leveraging the unique properties of quantum topology to identify optimal solutions for complex physical systems and machine learning tasks. Traditional optimization methods struggle with intricate topological structures, offering a significant advantage through the incorporation of quantum topology. The core mechanism involves constructing a "topological simulation" algorithm, which mimics the behavior of quantum topology to explore potential solutions and ultimately converge on a globally optimal solution. We demonstrate the effectiveness of this approach through application to optimization problems in physics and machine learning, showcasing its potential to overcome limitations of classical optimization techniques.