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Open AccessArticle

Bell Inequalities with One Bit of Communication

Department of Applied Physics, University of Geneva, 1211 Geneva, Switzerland
Author to whom correspondence should be addressed.
Entropy 2019, 21(2), 171;
Received: 13 December 2018 / Revised: 28 January 2019 / Accepted: 6 February 2019 / Published: 13 February 2019
(This article belongs to the Special Issue Quantum Nonlocality)
We study Bell scenarios with binary outcomes supplemented by one bit of classical communication. We developed a method to find facet inequalities for such scenarios even when direct facet enumeration is not possible, or at least difficult. Using this method, we partially solved the scenario where Alice and Bob choose between three inputs, finding a total of 668 inequivalent facet inequalities (with respect to relabelings of inputs and outputs). We also show that some of these inequalities are constructed from facet inequalities found in scenarios without communication, that is, the well-known Bell inequalities. View Full-Text
Keywords: quantum nonlocality; communication complexity quantum nonlocality; communication complexity
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Zambrini Cruzeiro, E.; Gisin, N. Bell Inequalities with One Bit of Communication. Entropy 2019, 21, 171.

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