Two-party Bell inequalities derived from combinatorics via triangular elimination

@article{Avis2005TwopartyBI,
title={Two-party Bell inequalities derived from combinatorics via triangular elimination},
author={D. Avis and H. Imai and T. Ito and Y. Sasaki},
journal={Journal of Physics A},
year={2005},
volume={38},
pages={10971-10987}
}

We establish a relation between the two-party Bell inequalities for two-valued measurements and a high-dimensional convex polytope called the cut polytope in polyhedral combinatorics. Using this relation, we propose a method, triangular elimination, to derive tight Bell inequalities from facets of the cut polytope. This method gives two hundred million inequivalent tight Bell inequalities from currently known results on the cut polytope. In addition, this method gives general formulae which… CONTINUE READING