An explicit classical strategy for winning a ${\mathrm{CHSH}}_{q}$ game
Matej Pivoluska, Martin Plesch · New Journal of Physics · 2016
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 , which is in contrast with the previously known constructive strategies achieving only the winning probability of .