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Title: Interconversion of nonlocal correlations

Journal Article · · Physical Review. A
DOI:https://doi.org/10.1103/PHYSREVA.72.0· OSTI ID:20786464
 [1];  [1]
  1. Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW (United Kingdom)

In this paper, we study the correlations that arise when two separated parties perform measurements on systems they hold locally. We restrict ourselves to those correlations with which arbitrarily fast transmission of information is impossible. These correlations are called nonsignaling. We allow the measurements to be chosen from sets of an arbitrary size, but promise that each measurement has only two possible outcomes. We find the structure of this convex set of nonsignaling correlations by characterizing its extreme points. Taking an information-theoretic view, we prove that all of these extreme correlations are interconvertible. This suggests that the simplest extremal nonlocal distribution (called a PR box) might be the basic unit of bipartite nonlocality. We also show that this unit of nonlocality is sufficient to simulate all bipartite quantum states when measured with two outcome measurements.

OSTI ID:
20786464
Journal Information:
Physical Review. A, Vol. 72, Issue 5; Other Information: DOI: 10.1103/PhysRevA.72.052312; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English

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