Nonlinear Geometry of Quantum Entanglement Mapping
Jincheng Zhang
Abstract
This paper explores the mathematical framework for simulating quantum entanglement through the investigation of non-linear geometry and topology. We propose a novel approach to quantum entanglement mapping, utilizing the concept of "topological association" to establish a robust and interpretable model. The core mechanism involves constructing an algorithm that leverages the inherently non-linear properties of topological structures to precisely represent and map quantum entanglement. This work aims to provide a fundamentally different perspective on entanglement, offering a more intuitive and potentially more powerful description. The research explores the potential of this methodology to unlock new insights into the nature of quantum entanglement.