2002/09/05 by Seyed Javad Akhtarshenas, S. J. Akhtarshenas, Akhtarshenas, S. J. +2
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0209045
17 pages, Latex
arxiv created 2002/09/05 · openalex publication_date 2002/09/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
As it is well known, every bipartite 2⊗ 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⊗ 2 density matrix has been obtained through LQCC action upon Lewenstein-Sanpera decomposition of Bell decomposable states of 2⊗ 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.