Bell inequalities for the simplest exclusivity graph
Quantum Physics
2013-02-18 v2
Abstract
Which is the simplest logical structure for which there is quantum nonlocality? We show that there are only three bipartite Bell inequalities with quantum violation associated with the simplest graph of relationships of exclusivity with a quantum-classical gap. These are the most elementary logical Bell inequalities. We show that the quantum violation of some well-known Bell inequalities is related to them. We test the three Bell inequalities with pairs of polarization-entangled photons and report violations in good agreement with the quantum predictions. Unlike other experiments testing noncontextuality inequalities with pentagonal exclusivity, the ones reported here are free of the compatibility loophole.
Cite
@article{arxiv.1106.4754,
title = {Bell inequalities for the simplest exclusivity graph},
author = {Muhamad Sadiq and Piotr Badziag and Mohamed Bourennane and Adan Cabello},
journal= {arXiv preprint arXiv:1106.4754},
year = {2013}
}
Comments
REVTeX4, 6 pages, 4 figures