基于量子纠缠的拓扑几何验证
Jincheng Zhang
Abstract
This paper explores the potential of leveraging quantum entanglement to validate topological geometry, a field traditionally reliant on mathematical analysis and geometric simulations. We propose a novel method utilizing entangled states to precisely characterize and verify the stability of topological structures, offering a fundamentally different approach to geometric analysis. The core mechanism involves generating entangled states within a defined geometry and meticulously probing their properties to ascertain topological integrity. This investigation presents a framework for quantitatively assessing topological properties, potentially expanding the scope of geometric analysis beyond traditional methods. The results demonstrate the feasibility of this approach, validating key topological characteristics through entanglement-based verification.