Effects of white noise on Bell theorem for qudits
- URL: http://arxiv.org/abs/2012.15475v1
- Date: Thu, 31 Dec 2020 07:03:41 GMT
- Title: Effects of white noise on Bell theorem for qudits
- Authors: Arijit Dutta, Jaewan Kim, Jinhyoung Lee
- Abstract summary: We show that a variety of Bell inequalities can be derived by sequentially applying triangle inequalities.
A sufficient condition is presented to show quantum violations of the Bell-type inequalities with infinitesimal values of critical visibility.
- Score: 1.7188280334580195
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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