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

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

2002-02-20

arxiv.org/abs/quant-ph/0202115v2

Physics

Quantum Physics

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Scientific paper

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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