title: Coincidence bell inequality for three three-dimensional systems.
abstract: We construct a Bell inequality for coincidence probabilities on a three three-dimensional (qutrit) system. We show that this inequality is violated when each observer measures two noncommuting observables, defined by the so-called unbiased six-port beam splitter, on a maximally entangled state of two qutrits. The strength of the violation agrees with the numerical results presented by Kaszlikowski et al, quant-ph/0202019. It is proven that the inequality defines facets of the polytope of local variable models.
authors.affiliation: Institut de Ciències Fotòniques, Jordi Girona 29, Edifici Nexus II, 08034 Barcelona, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Acín
authors.forename: J L
authors.initials: JL
authors.lastname: Chen
authors.forename: N
authors.initials: N
authors.lastname: Gisin
authors.forename: D
authors.initials: D
authors.lastname: Kaszlikowski
authors.forename: L C
authors.initials: LC
authors.lastname: Kwek
authors.forename: C H
authors.initials: CH
authors.lastname: Oh
authors.forename: M
authors.initials: M
authors.lastname: Zukowski