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Bell inequalities for arbitrarily high dimensional systems

Collins, Daniel; Gisin, Nicolas; Linden, Noah; Massar, Serge; Popescu, Sandu


Keyword(s): Bell inequalities; local realism; quantum foundations; quantum information; quantum non-locality; non- locality

Abstract: We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local variable theories must satisfy. This is used to construct a family of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality which are strongly resistant to noise. In particular our work gives an analytic description of previous numerical results, and generalizes them to arbitrarily high dimensionality. Notes: Nicolas Gisin, Group of Applied Physics, University of Geneva, 20, rue de l'Ecole-de-Medecine, CH1211 Geneva 4 Switzerland Noah Linden, Department of Mathematics, Bristol University, University Walk, Bristol BS8 1TW UK Serge Massar, Service de Physique Theorique, Universite Libre de Bruxelles, CP 225, Bvd. du Triomphe, B1050 Bruxelles, Belgium

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