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

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

2000-07-03

arxiv.org/abs/quant-ph/0007006v3

Phys. Lett. A 286 (2001) 376-382

Physics

Quantum Physics

LaTeX file, 10 pages

Scientific paper

10.1016/S0375-9601(01)00454-6

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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