An explicit classical strategy for winning a CHSHq game

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Authors

PIVOLUSKA Matej PLESCH Martin

Year of publication 2016
Type Article in Periodical
Magazine / Source New Journal of Physics
MU Faculty or unit

Faculty of Informatics

Citation
Web http://iopscience.iop.org/article/10.1088/1367-2630/18/2/025013
Doi http://dx.doi.org/10.1088/1367-2630/18/2/025013
Field Informatics
Keywords device independence; CHSH game; classical-quantum gap; bell Inequalities
Description A CHSH q game is a generalization of the standard two player CHSH game, with q different input and output options. In contrast to the binary game, the best classical and quantum winning strategies are not known exactly. In this paper we provide a constructive classical strategy for winning a CHSH q game, with q being a prime. Our construction achieves a winning probability better than $\frac{1}{22}{q}^{-\frac{2}{3}}$, which is in contrast with the previously known constructive strategies achieving only the winning probability of $O({q}^{-1})$.
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