Scientific article
Open access

Looking for symmetric Bell inequalities

Published inJournal of physics. A, Mathematical and theoretical, vol. 43, no. 38, 385303
Publication date2010

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 238 885 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.

Citation (ISO format)
BANCAL, Jean-Daniel, GISIN, Nicolas, PIRONIO, Stefano. Looking for symmetric Bell inequalities. In: Journal of physics. A, Mathematical and theoretical, 2010, vol. 43, n° 38, p. 385303. doi: 10.1088/1751-8113/43/38/385303
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Article (Accepted version)
ISSN of the journal1751-8113

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