Information Causality and Extremal Tripartite Correlations
Tzyh Haur Yang, Daniel Cavalcanti, Mafalda Almeida, Colin Teo, Valerio, Scarani
TL;DR
This paper investigates the principle of information causality in tripartite correlations, revealing that most extremal nonlocal correlations violate it, except for one that complies with all bipartite physical principles.
Contribution
It identifies which extremal tripartite correlations violate information causality and highlights a unique correlation that satisfies all bipartite principles.
Findings
Most extremal correlations violate information causality.
One extremal correlation satisfies all bipartite principles.
Provides insight into the structure of tripartite nonlocal correlations.
Abstract
We study the principle of information causality for the set of extremal correlations in the tripartite scenario. We show that all but one nonlocal extremal correlations in this scenario violate information causality. This undetected correlation is shown to satisfy any bipartite physical principle.
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