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Phys. Rev. A 52, 3503–3510 (1995)

Randomness, nonlocality, and information in entangled correlations

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Krzysztof Wódkiewicz
Center for Advanced Studies and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131
Instytut Fizyki Teoretycznej, Uniwersytet Warszawski Warszawa 00-681, Hoża 69, Poland

Received 26 May 1995; published in the issue dated November 1995

It is shown that the Einstein-Podolsky-Rosen (EPR) correlations for arbitrary spin s and the Greenberger-Horne-Zeilinger (GHZ) correlations for three particles can be described by nonlocal joint and conditional quantum probabilities. The nonlocality of these probabilities makes the Bell inequalities void. A description that exhibits the relation between the randomness and the nonlocality of entangled correlations is introduced. Entangled EPR and GHZ correlations are studied using the Gibbs-Shannon entropy. The nonlocal character of the EPR correlations is tested using the information Bell inequalities. Relations between the randomness, the nonlocality, and the entropic information for the EPR and the GHZ correlations are established and discussed.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.52.3503
DOI:
10.1103/PhysRevA.52.3503
PACS:
03.65.Bz, 89.70.+c