基于量子纠缠的非线性拓扑变换算法
Jincheng Zhang
Abstract
This paper explores the potential of quantum entanglement to revolutionize the field of topological data analysis (TDA). We introduce a novel non-linear topological transformation algorithm leveraging the unique properties of quantum entanglement. The core mechanism involves manipulating the entangled states of input data to induce a transformation with unprecedented precision. This approach offers a pathway towards significantly enhanced computational efficiency and the ability to achieve high-fidelity topological mappings, potentially surpassing traditional computational methods. The paper details the algorithm's structure, mathematical formulation, and preliminary experimental results demonstrating the efficacy of this method. We also discuss future research directions and the challenges associated with implementing this technology.