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Separate- versus common-common-cause-type derivations of the Bell inequalities

Hofer-Szabó, Gábor (2007) Separate- versus common-common-cause-type derivations of the Bell inequalities. [Preprint]

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    Standard derivations of the Bell inequalities assume a common common cause system that is a common screener-off for all correlations and some additional assumptions concerning locality and no-conspiracy. In a recent paper (Grasshoff et al., 2005) Bell inequalities have been derived via separate common causes assuming perfect correlations between the events. In the paper it will be shown that the assumptions of this separate-common-cause-type derivation of the Bell inequalities in the case of perfect correlations can be reduced to the assumptions of common-common-cause-system-type derivation. However, in the case of non-perfect correlations a non-reducible separate-common-cause-type derivation of some Bell-like inequalities can be given. The violation of these Bell-like inequalities proves Szabó's (2000) conjecture concerning the non-existence of a local, non-conspiratorial, separate-common-cause-model for a delta δ-neighborhood of perfect EPR correlations.

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    Item Type: Preprint
    Keywords: Bell inequality, common cause
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Gabor Hofer-Szabo
    Date Deposited: 09 Sep 2007
    Last Modified: 27 Jun 2014 17:49
    Item ID: 3493

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