dorsal/arxiv
View SchemaOptimal entanglement criterion for mixed quantum states
| Authors | Heinz-Peter Breuer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605036 |
| URL | https://arxiv.org/abs/quant-ph/0605036 |
| DOI | 10.1103/PhysRevLett.97.080501 |
| Journal | Phys. Rev. Lett. 97, 080501 (2006) |
Abstract
We develop a strong and computationally simple entanglement criterion. The criterion is based on an elementary positive map Phi which operates on state spaces with even dimension N >= 4. It is shown that Phi detects many entangled states with positive partial transposition (PPT) and that it leads to a class of optimal entanglement witnesses. This implies that there are no other witnesses which can detect more entangled PPT states. The map Phi yields a systematic method for the explicit construction of high-dimensional manifolds of bound entangled states.
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"abstract": "We develop a strong and computationally simple entanglement criterion. The\ncriterion is based on an elementary positive map Phi which operates on state\nspaces with even dimension N \u003e= 4. It is shown that Phi detects many entangled\nstates with positive partial transposition (PPT) and that it leads to a class\nof optimal entanglement witnesses. This implies that there are no other\nwitnesses which can detect more entangled PPT states. The map Phi yields a\nsystematic method for the explicit construction of high-dimensional manifolds\nof bound entangled states.",
"arxiv_id": "quant-ph/0605036",
"authors": [
"Heinz-Peter Breuer"
],
"categories": [
"quant-ph"
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"doi": "10.1103/PhysRevLett.97.080501",
"journal_ref": "Phys. Rev. Lett. 97, 080501 (2006)",
"title": "Optimal entanglement criterion for mixed quantum states",
"url": "https://arxiv.org/abs/quant-ph/0605036"
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