Bell inequalities for arbitrarily high-dimensional systems

Phys Rev Lett. 2002 Jan 28;88(4):040404. doi: 10.1103/PhysRevLett.88.040404. Epub 2002 Jan 10.


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.