Clauser-Horne-Bell inequality for three three-dimensional systems

Chen, Jing-Ling; Kaszlikowski, Dagomir; Kwek, L. C.; Oh, C. H.

Clauser-Horne-Bell inequality for three three-dimensional systems

Authors

Chen, Jing-Ling

Kaszlikowski, Dagomir

Kwek, L. C.

Oh, C. H.

Description

In this paper we show a Bell inequality of Clauser-Horne type for three three-dimensional systems (qutrits). Violation of the inequality by quantum mechanics is shown for the case in which each of the three observers measures two non-commuting observables, defined by the so called unbiased symmetric six port beamsplitters, on a maximally entangled state of three qutrits. The strength of the violation of the inequality agrees with the numerical results presented in Kaszlikowski et. al., quant-ph//0202019.
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