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TITLE Effects of white noise on the violation of Bell-type inequalities based on probability theory
KIAS AUTHORS Kim, Jaewan,Dutta, Arijit
JOURNAL NEW JOURNAL OF PHYSICS, 2021
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ABSTRACT We introduce two types of statistical quasi-separation between local observables to construct two-party Bell-type inequalities for an arbitrary dimensional systems and arbitrary number of measurement settings per site. Note that, the main difference between statistical quasi-separations and the usual statistical separations is that the former are not symmetric under exchange of the two local observables, whereas latter preserve the symmetry. We show that a variety of Bell inequalities can be derived by sequentially applying triangle inequalities which statistical quasi-separations satisfy. A sufficient condition is presented to show quantum violations of the Bell-type inequalities with infinitesimal values of critical visibility v(c).
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