Tsirelson's Bound Prohibits Communication through a Disconnected Channel

Avishy Carmi; Daniel Moskovich

doi:10.3390/e20030151

Tsirelson's Bound Prohibits Communication through a Disconnected Channel

Entropy (Basel). 2018 Feb 27;20(3):151. doi: 10.3390/e20030151.

Authors

Avishy Carmi^{1

2}, Daniel Moskovich^{1

2}

Affiliations

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.

Abstract

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.

Keywords: Bell inequality; Fisher information; Tsirelson’s bound; information causality; no-signaling; nonlocality.