dorsal/arxiv
View SchemaBell's inequalities for states with positive partial transpose
| Authors | Reinhard F. Werner, Michael M. Wolf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910063 |
| URL | https://arxiv.org/abs/quant-ph/9910063 |
| DOI | 10.1103/PhysRevA.61.062102 |
| Journal | Phys. Rev. A 61, 062102 (2000) |
Abstract
We study violations of n particle Bell inequalities (as developed by Mermin and Klyshko) under the assumption that suitable partial transposes of the density operator are positive. If all transposes with respect to a partition of the system into p subsystems are positive, the best upper bound on the violation is 2^((n-p)/2). In particular, if the partial transposes with respect to all subsystems are positive, the inequalities are satisfied. This is supporting evidence for a recent conjecture by Peres that positivity of partial transposes could be equivalent to existence of local classical models.
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"abstract": "We study violations of n particle Bell inequalities (as developed by Mermin\nand Klyshko) under the assumption that suitable partial transposes of the\ndensity operator are positive. If all transposes with respect to a partition of\nthe system into p subsystems are positive, the best upper bound on the\nviolation is 2^((n-p)/2). In particular, if the partial transposes with respect\nto all subsystems are positive, the inequalities are satisfied. This is\nsupporting evidence for a recent conjecture by Peres that positivity of partial\ntransposes could be equivalent to existence of local classical models.",
"arxiv_id": "quant-ph/9910063",
"authors": [
"Reinhard F. Werner",
"Michael M. Wolf"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.61.062102",
"journal_ref": "Phys. Rev. A 61, 062102 (2000)",
"title": "Bell\u0027s inequalities for states with positive partial transpose",
"url": "https://arxiv.org/abs/quant-ph/9910063"
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