dorsal/arxiv
View SchemaTest for entanglement using physically observable witness operators and positive maps
| Authors | Kai Chen, Ling-An Wu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306041 |
| URL | https://arxiv.org/abs/quant-ph/0306041 |
| DOI | 10.1103/PhysRevA.69.022312 |
| Journal | Phys. Rev. A 69, 022312 (2004) |
Abstract
Motivated by the Peres-Horodecki criterion and the realignment criterion we develop a more powerful method to identify entangled states for any bipartite system through a universal construction of the witness operator. The method also gives a new family of positive but non-completely positive maps of arbitrary high dimensions which provide a much better test than the witness operators themselves. Moreover, we find there are two types of positive maps that can detect 2xN and 4xN bound entangled states. Since entanglement witnesses are physical observables and may be measured locally our construction could be of great significance for future experiments.
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"abstract": "Motivated by the Peres-Horodecki criterion and the realignment criterion we\ndevelop a more powerful method to identify entangled states for any bipartite\nsystem through a universal construction of the witness operator. The method\nalso gives a new family of positive but non-completely positive maps of\narbitrary high dimensions which provide a much better test than the witness\noperators themselves. Moreover, we find there are two types of positive maps\nthat can detect 2xN and 4xN bound entangled states. Since entanglement\nwitnesses are physical observables and may be measured locally our construction\ncould be of great significance for future experiments.",
"arxiv_id": "quant-ph/0306041",
"authors": [
"Kai Chen",
"Ling-An Wu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.022312",
"journal_ref": "Phys. Rev. A 69, 022312 (2004)",
"title": "Test for entanglement using physically observable witness operators and positive maps",
"url": "https://arxiv.org/abs/quant-ph/0306041"
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