Mermin's n-particle Bell inequality and operators' noncommutativity
Quantum Physics
2009-11-06 v3
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.
Cite
@article{arxiv.quant-ph/0007006,
title = {Mermin's n-particle Bell inequality and operators' noncommutativity},
author = {Jose L. Cereceda},
journal= {arXiv preprint arXiv:quant-ph/0007006},
year = {2009}
}
Comments
LaTeX file, 10 pages