The most elementary Bell inequalities

Details The most elementary Bell inequalities The most elementary Bell inequalities

2011-06-23

arxiv.org/abs/1106.4754v1

Physics

Quantum Physics

REVTeX4-1, 4+3 pages, 3+4 figures

Scientific paper

Every nontrivial Bell inequality can be associated to a graph with some special properties. The simplest of these graphs is the pentagon. In this sense, any Bell inequality associated to a pentagon can be regarded as elementary. We show that there are three of them: one is a primitive Bell inequality inside the Clauser-Horne-Shimony-Holt inequality and, surprisingly, it is not maximally violated by maximally entangled states. The other two are maximally violated by maximally entangled states and are related to the Clauser-Horne inequality and the I3322 inequality, respectively. We report experimental violations of the three inequalities with pairs of photons entangled in polarization.

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