Non-local games are an important part of quantum information processing. Recently there has been an increased interest in generalizing non-local games beyond the basic setup by considering games with multiple parties and/or with large alphabet inputs and outputs. In this paper we consider another interesting generalization -- games with non-uniform inputs. Here we derive a tight upper bound for the classical winning probability for a specific family of non-local games with non-uniform input distribution, known as CHSHq(p) which was introduced recently in the context of relativistic bit-commitment protocols by [Chakraborty et. al., PRL 115, 250501, 2015].
@article{arxiv.1601.08095,
title = {Tight bound on the classical value of generalized Clauser-Horne-Shimony-Holt games},
author = {Matej Pivoluska and Marcin Pawlowski and Martin Plesch},
journal= {arXiv preprint arXiv:1601.08095},
year = {2016}
}