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Lecture notes in physics

Bipartite Quantum Entanglement

Fabio Benatti

Published Jan 1, 2010• 1 citation
Publisher
DOI
10.1007/978-3-642-11914-9_4

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The characteristics and preparation of bipartite entangled state were presented in this paper.The decompositions of bipartite and tripartite entangled states of continuous variables in coordinate representation were obtained by using the normal product technique.And their completeness and orthonormality were shown at the same time.Then a scheme to transport a kind of tripartite entangled state of continuous variables by using a quantum channel composed of three bipartite entangled states was proposed.
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 Fmax⁡F_{\max}Fmax​ 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.