Lewenstein-Sanpera Decomposition for $2\otimes 2$ Systems

Details Lewenstein-Sanpera Decomposition for $2\otimes 2$ Systems Lewenstein-Sanpera Decomposition for $2\otimes 2$ Systems

2002-09-05

arxiv.org/abs/quant-ph/0209045v1

Physics

Quantum Physics

17 pages, Latex

Scientific paper

As it is well known, every bipartite $2\otimes 2$ density matrix can be obtained from Bell decomposable states via local quantum operations and classical communications (LQCC). Using this fact, the Lewenstein-Sanpera decomposition of an arbitrary bipartite $2\otimes 2$ density matrix has been obtained through LQCC action upon Lewenstein-Sanpera decomposition of Bell decomposable states of $2\otimes 2$ quantum systems, where the product states introduced by Wootters in [W. K. Wootters, Phys. Rev. Lett. {\bf 80} 2245 (1998)] form the best separable approximation ensemble for Bell decomposable states. It is shown that in these systems the average concurrence of the Lewenstein-Sanpera decomposition is equal to the concurrence of these states.

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