dorsal/arxiv
View SchemaSeparability of mixed quantum states: linear contractions approach
| Authors | Michal Horodecki, Pawel Horodecki, Ryszard Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206008 |
| URL | https://arxiv.org/abs/quant-ph/0206008 |
| Journal | Open Syst. Inf. Dyn. 13, 103 (2006) |
Abstract
Recently, a new and powerful separability criterion was introduced in [O. Rudolph, quant-ph/0202121] and [Chen {\it et al.}, quant-ph/0205017]. Composing the main idea behind the above criterion and the necessary and sufficient condition in terms of positive maps, we provide a characterization of separable states by means of linear contractions. The latter need not be positive maps. We extend the idea to multipartite systems, and find that, somewhat suprisingly, partial realigment (unlike partial transposition) can detect genuinely triparite entanglement. We also show that for multipartite system any permutation of indices of density matrix leads to separability criterion.
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"abstract": "Recently, a new and powerful separability criterion was introduced in [O.\nRudolph, quant-ph/0202121] and [Chen {\\it et al.}, quant-ph/0205017]. Composing\nthe main idea behind the above criterion and the necessary and sufficient\ncondition in terms of positive maps, we provide a characterization of separable\nstates by means of linear contractions. The latter need not be positive maps.\nWe extend the idea to multipartite systems, and find that, somewhat\nsuprisingly, partial realigment (unlike partial transposition) can detect\ngenuinely triparite entanglement. We also show that for multipartite system any\npermutation of indices of density matrix leads to separability criterion.",
"arxiv_id": "quant-ph/0206008",
"authors": [
"Michal Horodecki",
"Pawel Horodecki",
"Ryszard Horodecki"
],
"categories": [
"quant-ph"
],
"journal_ref": "Open Syst. Inf. Dyn. 13, 103 (2006)",
"title": "Separability of mixed quantum states: linear contractions approach",
"url": "https://arxiv.org/abs/quant-ph/0206008"
},
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