dorsal/arxiv
View SchemaDistinguishing separable and entangled states
| Authors | Andrew C. Doherty, Pablo A. Parrilo, Federico M. Spedalieri |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112007 |
| URL | https://arxiv.org/abs/quant-ph/0112007 |
| DOI | 10.1103/PhysRevLett.88.187904 |
| Journal | Physical Review Letters, Vol. 88, No. 18, 187904, 2002. |
Abstract
We show how to design families of operational criteria that distinguish entangled from separable quantum states. The simplest of these tests corresponds to the well-known Peres-Horodecki positive partial transpose (PPT) criterion, and the more complicated tests are strictly stronger. The new criteria are tractable due to powerful computational and theoretical methods for the class of convex optimization problems known as semidefinite programs. We successfully applied the results to many low-dimensional states from the literature where the PPT test fails. As a byproduct of the criteria, we provide an explicit construction of the corresponding entanglement witnesses.
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"abstract": "We show how to design families of operational criteria that distinguish\nentangled from separable quantum states. The simplest of these tests\ncorresponds to the well-known Peres-Horodecki positive partial transpose (PPT)\ncriterion, and the more complicated tests are strictly stronger. The new\ncriteria are tractable due to powerful computational and theoretical methods\nfor the class of convex optimization problems known as semidefinite programs.\nWe successfully applied the results to many low-dimensional states from the\nliterature where the PPT test fails. As a byproduct of the criteria, we provide\nan explicit construction of the corresponding entanglement witnesses.",
"arxiv_id": "quant-ph/0112007",
"authors": [
"Andrew C. Doherty",
"Pablo A. Parrilo",
"Federico M. Spedalieri"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.88.187904",
"journal_ref": "Physical Review Letters, Vol. 88, No. 18, 187904, 2002.",
"title": "Distinguishing separable and entangled states",
"url": "https://arxiv.org/abs/quant-ph/0112007"
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