Evaluation of relative entropy of entanglement and derivation of optimal Lewenstein-Sanpera decomposition of Bell decomposable states via convex optimization
نویسنده
چکیده
We provide an analytical expression for optimal Lewenstein-Sanpera decomposition of Bell decomposable states by using semi-definite programming. Also using the KarushKuhn-Tucker optimization method, the minimum relative entropy of entanglement of Bell decomposable states has been evaluated and it is shown that the same separable Bell decomposable state lying at the boundary of convex set of separable Bell decomposable states, optimizes both Lewenstein-Sanpera decomposition and relative entropy of entanglement.
منابع مشابه
ar X iv : q ua nt - p h / 02 09 04 5 v 1 5 S ep 2 00 2 Lewenstein - Sanpera Decomposition for 2 ⊗ 2 Systems
As it is well known, every bipartite 2⊗2 density matrix can be obtained from Bell decompos-able states via local quantum operations and classical communications (LQCC). Using this fact, the Lewenstein-Sanpera decomposition of an arbitrary bipartite 2 ⊗ 2 density matrix has been obtained through LQCC action upon Lewenstein-Sanpera decomposition of Bell decomposable states of 2 ⊗ 2 quantum system...
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