Coincidence Bell Inequality for Three Three-Dimensional Systems
Author(s) -
Antonio Acín,
J. L. Chen,
Nicolas Gisin,
D. Kaszlikowski,
L. C. Kwek,
C. H. Oh,
Marek Żukowski
Publication year - 2004
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.92.250404
Subject(s) - coincidence , bell's theorem , observer (physics) , observable , polytope , local hidden variable theory , bell state , physics , inequality , beam splitter , qutrit , quantum entanglement , bell test experiments , hidden variable theory , theoretical physics , mathematics , quantum mechanics , statistical physics , combinatorics , mathematical analysis , quantum , medicine , laser , alternative medicine , pathology
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
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