Monogamy of correlations versus monogamy of entang

Authors: M P Seevinck

Publish Date: 2010/01/16

Volume: 9, Issue: 2, Pages: 273-294

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Abstract

A fruitful way of studying physical theories is via the question whether the possible physical states and different kinds of correlations in each theory can be shared to different parties Over the past few years it has become clear that both quantum entanglement and nonlocality ie correlations that violate Belltype inequalities have limited shareability properties and can sometimes even be monogamous We give a selfcontained review of these results and present new results on the shareability of different kinds of correlations including local quantum and nosignalling correlations This includes an alternative simpler proof of the TonerVerstraete monogamy inequality for quantum correlations as well as a strengthening thereof Further the relationship between sharing nonlocal quantum correlations and sharing mixed entangled states is investigated and already for the simplest case of bipartite correlations and qubits this is shown to be nontrivial Also a recently proposed new interpretation of Bell’s theorem by Schumacher in terms of shareability of correlations is critically assessed Finally the relevance of monogamy of nonlocal correlations for secure quantum key distribution is pointed out and in this regard it is stressed that not all nonlocal correlations are monogamousThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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