title: Bell inequalities for arbitrarily high-dimensional systems.
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.
authors.affiliation: H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom.
authors.forename: Daniel
authors.initials: D
authors.lastname: Collins
authors.forename: Nicolas
authors.initials: N
authors.lastname: Gisin
authors.forename: Noah
authors.initials: N
authors.lastname: Linden
authors.forename: Serge
authors.initials: S
authors.lastname: Massar
authors.forename: Sandu
authors.initials: S
authors.lastname: Popescu