dorsal/arxiv
View SchemaBest separable approximation with semi-definite programming method
| Authors | M. A. Jafarizadeh, M. Mirzaee, M. Rezaee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606075 |
| URL | https://arxiv.org/abs/quant-ph/0606075 |
Abstract
The present methods for obtaining the optimal Lewenestein- Sanpera decomposition of a mixed state are difficult to handle analytically. We provide a simple analytical expression for the optimal Lewenstein-Sanpera decomposition by using semidefinite programming. Specially, we obtain the optimal Lewenstein-Sanpera decomposition for some examples such as: Bell decomposable state, Iso-concurrence state, generic two qubit state in Wootters's basis, $2\otimes 3$ Bell decomposable state, $d\otimes d$ Werner and isotropic states, a one parameter $3\otimes 3$ state and finally multi partite isotropic state.
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"date_created": "2026-03-02T18:02:27.110000Z",
"date_modified": "2026-03-02T18:02:27.110000Z",
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"abstract": "The present methods for obtaining the optimal Lewenestein- Sanpera\ndecomposition of a mixed state are difficult to handle analytically. We provide\na simple analytical expression for the optimal Lewenstein-Sanpera decomposition\nby using semidefinite programming. Specially, we obtain the optimal\nLewenstein-Sanpera decomposition for some examples such as: Bell decomposable\nstate, Iso-concurrence state, generic two qubit state in Wootters\u0027s basis,\n$2\\otimes 3$ Bell decomposable state, $d\\otimes d$ Werner and isotropic states,\na one parameter $3\\otimes 3$ state and finally multi partite isotropic state.",
"arxiv_id": "quant-ph/0606075",
"authors": [
"M. A. Jafarizadeh",
"M. Mirzaee",
"M. Rezaee"
],
"categories": [
"quant-ph"
],
"title": "Best separable approximation with semi-definite programming method",
"url": "https://arxiv.org/abs/quant-ph/0606075"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6e4f9d8e-8fdf-4a83-b8bb-8b4b98b17d08",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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