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

Avishy Carmi
, Daniel Moskovich

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Article number	151
Journal	Entropy
Volume	20
Issue number	3
DOIs	https://doi.org/10.3390/e20030151
State	Published - 1 Mar 2018

Keywords

Bell inequality
Fisher information
Information causality
No-signaling
Nonlocality
Tsirelson's bound

ASJC Scopus subject areas

General Physics and Astronomy

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10.3390/e20030151

Cite this

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title = "Tsirelson's bound prohibits communication through a disconnected channel",

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, Information causality, No-signaling, Nonlocality, Tsirelson's bound",

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AB - 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.

KW - Bell inequality

KW - Fisher information

KW - Information causality

KW - No-signaling

KW - Nonlocality

KW - Tsirelson's bound

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DO - 10.3390/e20030151

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Tsirelson's bound prohibits communication through a disconnected channel

Abstract

Keywords

ASJC Scopus subject areas

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