dorsal/arxiv
View SchemaThree-particle entanglement versus three-particle nonlocality
| Authors | Jose L. Cereceda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202139 |
| URL | https://arxiv.org/abs/quant-ph/0202139 |
| DOI | 10.1103/PhysRevA.66.024102 |
| Journal | Phys. Rev. A 66 (2002) 024102 |
Abstract
The notions of three-particle entanglement and three-particle nonlocality are discussed in the light of Svetlichny's inequality [Phys. Rev. D 35, 3066 (1987)]. It is shown that there exist sets of measurements which can be used to prove three-particle entanglement, but which are nevertheless useless at proving three-particle nonlocality. In particular, it is shown that the quantum predictions giving a maximal violation of Mermin's three-particle Bell inequality [Phys. Rev. Lett. 65, 1838 (1990)] can be reproduced by a hybrid hidden variables model in which nonlocal correlations are present only between two of the particles. It should be possible, however, to test the existence of both three-particle entanglement and three-particle nonlocality for any given quantum state via Svetlichny's inequality.
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"abstract": "The notions of three-particle entanglement and three-particle nonlocality are\ndiscussed in the light of Svetlichny\u0027s inequality [Phys. Rev. D 35, 3066\n(1987)]. It is shown that there exist sets of measurements which can be used to\nprove three-particle entanglement, but which are nevertheless useless at\nproving three-particle nonlocality. In particular, it is shown that the quantum\npredictions giving a maximal violation of Mermin\u0027s three-particle Bell\ninequality [Phys. Rev. Lett. 65, 1838 (1990)] can be reproduced by a hybrid\nhidden variables model in which nonlocal correlations are present only between\ntwo of the particles. It should be possible, however, to test the existence of\nboth three-particle entanglement and three-particle nonlocality for any given\nquantum state via Svetlichny\u0027s inequality.",
"arxiv_id": "quant-ph/0202139",
"authors": [
"Jose L. Cereceda"
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"quant-ph"
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"doi": "10.1103/PhysRevA.66.024102",
"journal_ref": "Phys. Rev. A 66 (2002) 024102",
"title": "Three-particle entanglement versus three-particle nonlocality",
"url": "https://arxiv.org/abs/quant-ph/0202139"
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