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Tsirelson’s Bound Prohibits Communication through a Disconnected Channel

by Avishy Carmi 1,2,* and Daniel Moskovich 1,2,*
1
Center for Quantum Information Science and Technology, Ben-Gurion University of the Negev, Beersheba 8410501, Israel
2
Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beersheba 8410501, Israel
*
Authors to whom correspondence should be addressed.
Entropy 2018, 20(3), 151; https://doi.org/10.3390/e20030151
Received: 4 December 2017 / Revised: 18 February 2018 / Accepted: 24 February 2018 / Published: 27 February 2018
(This article belongs to the Special Issue Entropy in Foundations of Quantum Physics)
Why does nature only allow nonlocal correlations up to Tsirelson’s bound and not beyond? We construct a channel whose input is statistically independent of its output, but through which communication is nevertheless possible if and only if Tsirelson’s bound is violated. This provides a statistical justification for Tsirelson’s bound on nonlocal correlations in a bipartite setting. View Full-Text
Keywords: nonlocality; Bell inequality; Tsirelson’s bound; no-signaling; information causality; Fisher information nonlocality; Bell inequality; Tsirelson’s bound; no-signaling; information causality; Fisher information
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Carmi, A.; Moskovich, D. Tsirelson’s Bound Prohibits Communication through a Disconnected Channel. Entropy 2018, 20, 151.

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