基于量子纠缠的非线性几何拓扑变形
Jincheng Zhang
Abstract
Quantum entanglement offers a fundamentally different approach to geometric topology optimization, potentially surpassing traditional methods due to its inherent non-linearity and ability to explore complex configurations. This paper proposes a novel algorithm, "Quantum Morphing," which leverages quantum entanglement to dynamically adjust and optimize geometric structures. We explore the core mechanism of this algorithm, focusing on how entanglement facilitates the generation of complex topological transformations without requiring explicit parameter tuning. The paper details the algorithm's design, its theoretical foundation, and preliminary experimental validation demonstrating its potential for achieving significant improvements in optimization tasks. We conclude by highlighting the challenges and future directions for this research.