dorsal/arxiv
View SchemaMermin's n-particle Bell inequality and operators' noncommutativity
| Authors | Jose L. Cereceda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007006 |
| URL | https://arxiv.org/abs/quant-ph/0007006 |
| DOI | 10.1016/S0375-9601(01)00454-6 |
| Journal | Phys. Lett. A 286 (2001) 376-382 |
Abstract
The relationship between the noncommutativity of operators and the violation of the Bell inequality is exhibited in the light of the n-particle Bell-type inequality discovered by Mermin [PRL 65, 1838 (1990)]. It is shown, in particular, that the maximal amount of violation of Mermin's inequality predicted by quantum mechanics decreases exponentially by a factor of 2^{-m/2} whenever any m among the n single-particle commutators happen to vanish.
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"abstract": "The relationship between the noncommutativity of operators and the violation\nof the Bell inequality is exhibited in the light of the n-particle Bell-type\ninequality discovered by Mermin [PRL 65, 1838 (1990)]. It is shown, in\nparticular, that the maximal amount of violation of Mermin\u0027s inequality\npredicted by quantum mechanics decreases exponentially by a factor of 2^{-m/2}\nwhenever any m among the n single-particle commutators happen to vanish.",
"arxiv_id": "quant-ph/0007006",
"authors": [
"Jose L. Cereceda"
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"doi": "10.1016/S0375-9601(01)00454-6",
"journal_ref": "Phys. Lett. A 286 (2001) 376-382",
"title": "Mermin\u0027s n-particle Bell inequality and operators\u0027 noncommutativity",
"url": "https://arxiv.org/abs/quant-ph/0007006"
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