自适应几何拓扑的量子态生成与坍缩
Jincheng Zhang
Abstract
This paper introduces a novel quantum state generation and collapse algorithm leveraging the inherent self-correlation of quantum states. We propose a dynamic geometric topology adjustment algorithm that directly controls the evolution of quantum states, enabling significantly improved precision in both generation and collapse. Traditional methods often rely on classical computation, limiting the algorithm's capabilities. This work presents a fundamentally new approach that integrates topological structure into the core process, achieving enhanced efficiency and control over quantum state evolution. The core mechanism involves iterative adjustments to the underlying geometric topology, driven by the self-similarity inherent in quantum states. This allows for a more nuanced and controlled transition between states, surpassing the limitations of existing approaches. The implementation details are presented in detail, and the resulting theoretical and experimental results demonstrate the algorithm's effectiveness.