Quantum Entanglement and Non-Classical Geometry: A Novel Topological Approach for Quantum System Modeling
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, presents unique challenges in computational modeling and analysis. This paper investigates the intersection of quantum entanglement and non-classical geometry, proposing a novel topological geometry model leveraging entanglement's inherent asymmetry to facilitate the computation and representation of quantum systems. We explore how this approach provides a framework for dynamic and complex topological structures, offering enhanced capabilities for ultra-high-density quantum computing and secure information protocols. The study demonstrates the potential of this methodology to refine existing topological computation techniques and opens avenues for novel quantum algorithms.