dorsal/arxiv
View SchemaEvaluation of relative entropy of entanglement and derivation of optimal Lewenstein-Sanpera decomposition of Bell decomposable states via convex optimization
| Authors | M. A. Jafarizadeh, M. Mirzaee, M. Rezaee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608226 |
| URL | https://arxiv.org/abs/quant-ph/0608226 |
| Journal | Physica A: Statistical and Theoretical Physics, Volume 349, Issues 3-4, 15 April 2005, Pages 459-470 |
Abstract
We provide an analytical expression for optimal Lewenstein-Sanpera decomposition of Bell decomposable states by using semi-definite programming. Also using the Karush-Kuhn-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. {\bf Keywords: Minimum relative entropy of entanglement, Semi-definite programming, Convex optimization, Lewenstein-Sanpera decomposition, Bell decomposable states.} {\bf PACs Index: 03.65.Ud}
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"abstract": "We provide an analytical expression for optimal Lewenstein-Sanpera\ndecomposition of Bell decomposable states by using semi-definite programming.\nAlso using the Karush-Kuhn-Tucker optimization method, the minimum relative\nentropy of entanglement of Bell decomposable states has been evaluated and it\nis shown that the same separable Bell decomposable state lying at the boundary\nof convex set of separable Bell decomposable states, optimizes both\nLewenstein-Sanpera decomposition and relative entropy of entanglement.\n {\\bf Keywords: Minimum relative entropy of entanglement, Semi-definite\nprogramming, Convex optimization, Lewenstein-Sanpera decomposition, Bell\ndecomposable states.}\n {\\bf PACs Index: 03.65.Ud}",
"arxiv_id": "quant-ph/0608226",
"authors": [
"M. A. Jafarizadeh",
"M. Mirzaee",
"M. Rezaee"
],
"categories": [
"quant-ph"
],
"journal_ref": "Physica A: Statistical and Theoretical Physics, Volume 349, Issues\n 3-4, 15 April 2005, Pages 459-470",
"title": "Evaluation of relative entropy of entanglement and derivation of optimal Lewenstein-Sanpera decomposition of Bell decomposable states via convex optimization",
"url": "https://arxiv.org/abs/quant-ph/0608226"
},
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