



@article {1324,
	title = {Contextuality and nonlocality in {\textquoteright}no signaling{\textquoteright} theories},
	journal = {Foundations of Physics},
	volume = {39},
	year = {2009},
	month = {2009/4/21},
	pages = {690 - 711},
	abstract = {  We define a family of {\textquoteright}no signaling{\textquoteright} bipartite boxes with arbitrary inputs
and binary outputs, and with a range of marginal probabilities. The defining
correlations are motivated by the Klyachko version of the Kochen-Specker
theorem, so we call these boxes Kochen-Specker-Klyachko boxes or, briefly,
KS-boxes. The marginals cover a variety of cases, from those that can be
simulated classically to the superquantum correlations that saturate the
Clauser-Horne-Shimony-Holt inequality, when the KS-box is a generalized PR-box
(hence a vertex of the {\textquoteleft}no signaling{\textquoteright} polytope). We show that for certain
marginal probabilities a KS-box is classical with respect to nonlocality as
measured by the Clauser-Horne-Shimony-Holt correlation, i.e., no better than
shared randomness as a resource in simulating a PR-box, even though such
KS-boxes cannot be perfectly simulated by classical or quantum resources for
all inputs. We comment on the significance of these results for contextuality
and nonlocality in {\textquoteright}no signaling{\textquoteright} theories.
},
	doi = {10.1007/s10701-009-9307-8},
	url = {http://arxiv.org/abs/0903.1462v2},
	author = {Jeffrey Bub and Allen Stairs}
}
