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.

Keywords

CoincidenceBell's theoremObserver (physics)ObservablePolytopeLocal hidden variable theoryBell statePhysicsInequalityBeam splitterQutritQuantum entanglementBell test experimentsHidden variable theoryTheoretical physicsMathematicsQuantum mechanicsStatistical physicsCombinatoricsMathematical analysisQuantum

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Publication Info

Year
2004
Type
article
Volume
92
Issue
25
Pages
250404-250404
Citations
40
Access
Closed

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Cite This

Antonio Acín, J. L. Chen, Nicolas Gisin et al. (2004). Coincidence Bell Inequality for Three Three-Dimensional Systems. Physical Review Letters , 92 (25) , 250404-250404. https://doi.org/10.1103/physrevlett.92.250404

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DOI
10.1103/physrevlett.92.250404