拓扑几何与量子纠缠的耦合理论
Jincheng Zhang
Abstract
This paper explores the intricate coupling between topological geometry and quantum entanglement, proposing a novel computational framework for calculating complex topological structures. We introduce a novel computational paradigm centered around quantum entanglement dynamics, enabling precise calculations based on the inherent properties of entanglement. The core claim is that this approach dramatically expands the potential for quantum computation by leveraging the fundamental link between topological properties and quantum entanglement. This work investigates the potential for utilizing entanglement to precisely model and manipulate topological structures, ultimately paving the way for a significantly enhanced computational capability. The theoretical framework, developed through rigorous mathematical analysis and computational simulations, provides a foundation for future research in quantum topological algorithms. This study underscores the importance of exploring novel computational approaches that integrate the dynamics of quantum entanglement with the geometric properties of topological spaces.