0007006v3

related topics
{bell, inequality, local}
{operator, operators, space}
{cos, sin, state}

Mermin's n-particle Bell inequality and operators' noncommutativity

Jose L. Cereceda

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.

oai_identifier:
oai:arXiv.org:quant-ph/0007006
categories:
quant-ph
comments:
LaTeX file, 10 pages
doi:
10.1016/S0375-9601(01)00454-6
arxiv_id:
quant-ph/0007006
journal_ref:
Phys. Lett. A 286 (2001) 376-382
created:
2000-07-03
updated:
2001-11-05

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