TY - JOUR
T1 - Contextuality and nonlocality in 'no signaling' theories
JF - Foundations of Physics
Y1 - 2009
A1 - Jeffrey Bub
A1 - Allen Stairs
AB - 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.
VL - 39
U4 - 690 - 711
UR - http://arxiv.org/abs/0903.1462v2
CP - 7
J1 - Found Phys
U5 - 10.1007/s10701-009-9307-8
ER -