Lewenstein-Sanpera decomposition For Bell Decomposable

Details Lewenstein-Sanpera decomposition For Bell Decomposable Lewenstein-Sanpera decomposition For Bell Decomposable

2002-07-28

arxiv.org/abs/quant-ph/0207161v1

Physics

Quantum Physics

14 pages, Latex

Scientific paper

We propose a simple geometrical approach for finding the Lewenstein-Sanpera decomposition of Bell decomposable states of 2 otimes 2 quantum systems. We show that in these systems, the weight of the pure entangled part in the decomposition is equal to the concurrence of the state. It is also shown that the optimized separable part of L-S decomposition minimizes the von Neumann relative entropy. We also obtain the decomposition for a class of mixed states by using some LQCC actions. It is also shown that for these states the average concurrence of L-S decomposition is equal to their concurrence.

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