Tight bound on the classical value of generalized Clauser-Horne-Shimony-Holt games

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Authors

PIVOLUSKA Matej PAWLOWSKI Marcin PLESCH Martin

Year of publication 2016
Type Article in Periodical
Magazine / Source Physical Review A
MU Faculty or unit

Faculty of Informatics

Citation
Web http://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.022338
Doi http://dx.doi.org/10.1103/PhysRevA.94.022338
Field Informatics
Keywords CHSH game; bell Inequalities
Description Nonlocal games are an important part of quantum information processing. Recently there has been an increased interest in generalizing nonlocal games beyond the basic setup by considering games with multiple parties and/or with large alphabet inputs and outputs. We consider another interesting generalization—games with nonuniform inputs. Here we derive a tight upper bound for the classical winning probability for a family of nonlocal games with nonuniform input distribution, known as CHSHq(p), which was introduced recently in the context of relativistic bit-commitment protocols by Chakraborty et al. [Phys. Rev. Lett. 115, 250501 (2015)].
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