Understanding Quantum Entanglement of Bipartite System Based on Bell Inequality

Li-Bin Fu, Jing-Ling Chen, Xian-Geng Zhao, Shi-Gang Chen

Published 2001-12-24Version 1

We present an alternative definition of quantum entanglement for bipartite system based on Bell inequality and operators' noncommutativity. A state is said to be entangled, if the maximum of CHSH expectation value $F_{\max}$ is obtain by noncommutative measures on each particle of the bipartite system; otherwise, the state is a disentangled state. A uniform measure quantifying the degree of entanglement for any state of the bipartite system is also proposed.