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Quantum Measurement State Discrimination

Effects of white noise on Bell theorem for qudits

arXiv
Authors: Arijit Dutta, Jaewan Kim, Jinhyoung Lee

Year

2020

Paper ID

396

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

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 vc.

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  • We introduce two types of statistical quasi-separation between local observables to construct two-party Bell-type inequalities for an arbitrary dimensional systems and...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.15475 [2] arXiv https://arxiv.org/abs/2012.15475 [3] Publisher https://arxiv.org/abs/2012.15475

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