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Phys. Rev. A 72, 012113 (2005) [5 pages]

How much larger quantum correlations are than classical ones

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Adán Cabello*
Departamento de Física Aplicada II, Universidad de Sevilla, 41012 Sevilla, Spain

Received 10 November 2004; revised 22 April 2005; published 21 July 2005

Considering as distance between two two-party correlations the minimum number of half local results one party must toggle in order to turn one correlation into the other, we show that the volume of the set of physically obtainable correlations in the Einstein-Podolsky-Rosen-Bell scenario is (3π∕8)2≈1.388 larger than the volume of the set of correlations obtainable in local deterministic or probabilistic hidden-variable theories, but is only 3π2∕32≈0.925 of the volume allowed by arbitrary causal (i.e., no-signaling) theories.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.012113
DOI:
10.1103/PhysRevA.72.012113
PACS:
03.65.Ud, 03.65.Ta

*Electronic address: adan@us.es