We present a family of nonlocal games in which the inputs the players receive are continuous. We study three representative members of the family. For the first two a team sharing quantum correlations (entanglement) has an advantage over any team restricted to classical correlations. We conjecture that this is true for the third member of the family as well.
@article{arxiv.0706.2159,
title = {Continuous input nonlocal games},
author = {N. Aharon and S. Machnes and B. Reznik and J. Silman and L. Vaidman},
journal= {arXiv preprint arXiv:0706.2159},
year = {2013}
}