dorsal/arxiv
View SchemaBetter detection of Multipartite Bound Entanglement with Three-Setting Bell Inequalities
| Authors | Dagomir Kaszlikowski, L. C. Kwek, Jingling Chen, C. H. Oh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206031 |
| URL | https://arxiv.org/abs/quant-ph/0206031 |
| DOI | 10.1103/PhysRevA.66.052309 |
Abstract
It was shown in Phys. Rev. Lett., 87, 230402 (2001) that N (N >= 4) qubits described by a certain one parameter family F of bound entangled states violate Mermin-Klyshko inequality for N >= 8. In this paper we prove that the states from the family F violate Bell inequalities derived in Phys. Rev. A, 56, R1682 (1997), in which each observer measures three non-commuting sets of orthogonal projectors, for N >=7. We also derive a simple one parameter family of entanglement witnesses that detect entanglement for all the states belonging to F. It is possible that these new entanglement witnesses could be generated by some Bell inequalities.
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"abstract": "It was shown in Phys. Rev. Lett., 87, 230402 (2001) that N (N \u003e= 4) qubits\ndescribed by a certain one parameter family F of bound entangled states violate\nMermin-Klyshko inequality for N \u003e= 8. In this paper we prove that the states\nfrom the family F violate Bell inequalities derived in Phys. Rev. A, 56, R1682\n(1997), in which each observer measures three non-commuting sets of orthogonal\nprojectors, for N \u003e=7. We also derive a simple one parameter family of\nentanglement witnesses that detect entanglement for all the states belonging to\nF. It is possible that these new entanglement witnesses could be generated by\nsome Bell inequalities.",
"arxiv_id": "quant-ph/0206031",
"authors": [
"Dagomir Kaszlikowski",
"L. C. Kwek",
"Jingling Chen",
"C. H. Oh"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.052309",
"title": "Better detection of Multipartite Bound Entanglement with Three-Setting Bell Inequalities",
"url": "https://arxiv.org/abs/quant-ph/0206031"
},
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