NDLI: Contextuality and Nonlocality in ‘No Signaling’ Theories

Content Provider	Springer Nature Link
Author	Bub, Jeffrey Stairs, Allen
Copyright Year	2009
Abstract	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.
Starting Page	690
Ending Page	711
Page Count	22
File Format	PDF
ISSN	00159018
Journal	Foundations of Physics
Volume Number	39
Issue Number	7
e-ISSN	15729516
Language	English
Publisher	Springer US
Publisher Date	2009-04-21
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Quantum foundations Nonsignaling theories Nonlocal box Contextuality Nonlocality Tsirelson bound Philosophy of Science Mechanics Statistical Physics Relativity and Cosmology Quantum Physics Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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