%0 Journal Article
%J Foundations of Physics
%D 2009
%T Contextuality and nonlocality in 'no signaling' theories
%A Jeffrey Bub
%A Allen Stairs
%X We define a family of 'no signaling' 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 `no signaling' 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 'no signaling' theories.
%B Foundations of Physics
%V 39
%P 690 - 711
%8 2009/4/21
%G eng
%U http://arxiv.org/abs/0903.1462v2
%N 7
%! Found Phys
%R 10.1007/s10701-009-9307-8