1111.4092 (David Rodriguez)

Detection probability enhancement as a natural feature of LHV models and
implications for Bell inequalities    [PDF]

David Rodriguez

Experimental tests of Bell inequalities often require supplementary assumptions; in particular inhomogeneous inequalities \cite{note_inhomogeneous} (like the Clauser-Horne one) require the so-called "no-enhancement" hypothesis. In this paper, by extending an already well known Local Hidden Variables (LHV) model for the Clauser-Horne-Shimony-Holt inequality \cite{CHSH} to account for the probabilities of detection when the polarizers are removed, we show that, not only (i) the phenomenon of "variable detection probability" can be straightforwardly included in the usual LHV framework for homogeneous inequalities, but (ii) the violation, as a result of a breaking of the no-enhancement hypothesis, of the non-genuine (involving supplementary assumptions) versions of inhomogeneous Bell inequalities appears as the most natural consequence of that phenomenon. Our treatment focuses strictly on LHV's as mathematical constructions, leaving aside any other consideration in relation to QM, which is convenient to expose the relevance of "variable detection probability" and "detection probability enhancement" as primary concepts within the context of Bell inequalities.

View original: http://arxiv.org/abs/1111.4092