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Popescu-Rohrlich correlations as a unit of nonlocality

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arxiv quant-ph/0506180 v2 pith:CBB3D4BJ submitted 2005-06-22 quant-ph

Popescu-Rohrlich correlations as a unit of nonlocality

classification quant-ph
keywords correlationsboxesmultipartiteunitnaturalnonlocalitysimulatedarising
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A set of nonlocal correlations that have come to be known as a PR box suggest themselves as a natural unit of nonlocality, much as a singlet is a natural unit of entanglement. We present two results relevant to this idea. One is that a wide class of multipartite correlations can be simulated using local operations on PR boxes only. We show this with an explicit scheme, which has the interesting feature that the number of PR boxes required is related to the computational resources necessary to represent a function defining the multipartite box. The second result is that there are quantum multipartite correlations, arising from measurements on a cluster state, that cannot be simulated with n PR boxes, for any n.

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