Quantum Entanglement Modeling via Geometric Formalism
Jincheng Zhang
Abstract
Quantum entanglement, a fundamental phenomenon in quantum mechanics, presents significant challenges in information processing and secure communication. Current modeling approaches often struggle to adequately capture the intricate dynamics of entangled states, particularly when dealing with complex correlations. This paper proposes a novel geometric model for quantum entanglement, aiming to provide a more intuitive and mathematically rigorous framework for analyzing entanglement's evolution and measurement. We develop a model based on the concept of entangled states as geometric objects, utilizing a complex structure to represent and track the correlations between entangled particles. This model offers a potentially more powerful and flexible approach to understanding and manipulating quantum entanglement, with implications for quantum information processing.