dorsal/arxiv
View SchemaPartial positive scaling transform: a separability criterion
| Authors | Olga V. Manko, V. I. Manko, G. Marmo, Anil Shaji, E. C. G. Sudarshan, F. Zaccaria |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502089 |
| URL | https://arxiv.org/abs/quant-ph/0502089 |
| DOI | 10.1016/j.physleta.2005.02.070 |
| Journal | Phys. Lett. A 339, 194-206 (2005) |
Abstract
The problem of constructing a necessary and sufficient condition for establishing the separability of continuous variable systems is revisited. Simon [R. Simon, Phys. Rev. Lett. 84, 2726 (2000)] pointed out that such a criterion may be constructed by drawing a parallel between the Peres' partial transpose criterion for finite dimensional systems and partial time reversal transformation for continuous variable systems. We generalize the partial time reversal transformation to a partial scaling transformation and re-examine the problem using a tomographic description of the continuous variable quantum system. The limits of applicability of the entanglement criteria obtained from partial scaling and partial time reversal are explored.
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"abstract": "The problem of constructing a necessary and sufficient condition for\nestablishing the separability of continuous variable systems is revisited.\nSimon [R. Simon, Phys. Rev. Lett. 84, 2726 (2000)] pointed out that such a\ncriterion may be constructed by drawing a parallel between the Peres\u0027 partial\ntranspose criterion for finite dimensional systems and partial time reversal\ntransformation for continuous variable systems. We generalize the partial time\nreversal transformation to a partial scaling transformation and re-examine the\nproblem using a tomographic description of the continuous variable quantum\nsystem. The limits of applicability of the entanglement criteria obtained from\npartial scaling and partial time reversal are explored.",
"arxiv_id": "quant-ph/0502089",
"authors": [
"Olga V. Manko",
"V. I. Manko",
"G. Marmo",
"Anil Shaji",
"E. C. G. Sudarshan",
"F. Zaccaria"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2005.02.070",
"journal_ref": "Phys. Lett. A 339, 194-206 (2005)",
"title": "Partial positive scaling transform: a separability criterion",
"url": "https://arxiv.org/abs/quant-ph/0502089"
},
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