dorsal/arxiv
View SchemaLewenstein-Sanpera Decomposition for $2\otimes 2$ Systems
| Authors | S. J. Akhtarshenas, M. A. Jafarizadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209045 |
| URL | https://arxiv.org/abs/quant-ph/0209045 |
Abstract
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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"abstract": "As it is well known, every bipartite $2\\otimes 2$ density matrix can be\nobtained from Bell decomposable states via local quantum operations and\nclassical communications (LQCC). Using this fact, the Lewenstein-Sanpera\ndecomposition of an arbitrary bipartite $2\\otimes 2$ density matrix has been\nobtained through LQCC action upon Lewenstein-Sanpera decomposition of Bell\ndecomposable states of $2\\otimes 2$ quantum systems, where the product states\nintroduced by Wootters in [W. K. Wootters, Phys. Rev. Lett. {\\bf 80} 2245\n(1998)] form the best separable approximation ensemble for Bell decomposable\nstates. It is shown that in these systems the average concurrence of the\nLewenstein-Sanpera decomposition is equal to the concurrence of these states.",
"arxiv_id": "quant-ph/0209045",
"authors": [
"S. J. Akhtarshenas",
"M. A. Jafarizadeh"
],
"categories": [
"quant-ph"
],
"title": "Lewenstein-Sanpera Decomposition for $2\\otimes 2$ Systems",
"url": "https://arxiv.org/abs/quant-ph/0209045"
},
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