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 (Phys. Rev. Lett. 65 (1990) 1838). 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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