Feats, Features and Failures of the PR-box

Abstract

One of the most intriguing features of quantum physics is the non-locality of correlations that can be obtained by measuring entangled particles. Recently, it has been noticed that non-locality can be studied without reference to the Hilbert space formalism. I review here the properties of the basic mathematical tool used for such studies, the so called Popescu-Rohrlich-box, in short PR-box. Among its feats, are the simulation of the correlations of the singlet and of other non-local probability distributions. Among its features, the "anomaly of non-locality" and a great power for information-theoretical tasks. Among its failures, the impossibility of reproducing all multi-partite distributions and the triviality of the allowed dynamics.

Proceedings of the Conference "On the Present Status of Quantum Mechanics", Losinj, September 2005; and Festschrift for the 70th birthday of GianCarlo Ghirardi

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