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arXiv · 2012.15475

Effects of white noise on Bell theorem for qudits

Arijit Dutta·Jaewan Kim·Jinhyoung Lee
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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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Arijit Dutta, Jaewan Kim, Jinhyoung Lee. 2020-12-31. Effects of white noise on Bell theorem for qudits. https://arxiv.org/abs/2012.15475

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