Looking for symmetric Bell inequalities

Details Looking for symmetric Bell inequalities Looking for symmetric Bell inequalities

2010-04-23

arxiv.org/abs/1004.4146v2

J. Phys. A: Math. Theor. 43, 385303 (2010)

Physics

Quantum Physics

Added a proof in appendix A, 17 pages, 1 figure, 1 table

Scientific paper

10.1088/1751-8113/43/38/385303

Finding all Bell inequalities for a given number of parties, measurement settings, and measurement outcomes is in general a computationally hard task. We show that all Bell inequalities which are symmetric under the exchange of parties can be found by examining a symmetrized polytope which is simpler than the full Bell polytope. As an illustration of our method, we generate 238885 new Bell inequalities and 1085 new Svetlichny inequalities. We find, in particular, facet inequalities for Bell experiments involving two parties and two measurement settings that are not of the Collins-Gisin-Linden-Massar-Popescu type.

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