Quantum Entanglement Geometry Modeling
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, presents a unique and potentially powerful tool for modeling quantum systems. This paper explores the application of geometric modeling techniques to capture the essence of quantum entanglement, aiming to develop a novel framework for simulating quantum system behavior. We propose a specific geometric model predicated on the inherent properties of entangled particles, utilizing a layered approach to represent the entangled state. The core claim of this research is that this model offers a significant advancement over existing geometric representations by more effectively capturing the intricate interplay of entangled states. This work will detail the mathematical foundations of this model, illustrate its application through conceptual examples, and discuss potential avenues for future research.