Maximum tri-partite Hardy's nonlocality respecting all bi-partite principles

TL;DR

This paper investigates the maximum success probability of Hardy's nonlocality argument in tripartite systems under bi-partite principles, revealing insights into quantum correlations and the effectiveness of information causality.

Contribution

It determines the maximum success probability of tripartite Hardy's nonlocality respecting all bi-partite principles, independent of the conjecture relating to time-ordered-bi-local correlations.

Findings

No gap in Hardy's success probability under no-signaling principle.

Information causality captures quantum features beyond no-signaling.

Results are consistent regardless of the conjecture about correlation sets.

Abstract

The set of multiparty correlations that respect all bi-partite principles has been conjectured to be same as the set of time-ordered-bi-local correlations. Based on this conjuncture we find the maximum value of success probability of tri-partite Hardy's correlation respecting all bi-partite physical principles. Unlike in quantum mechanics, the no-signaling principle does not reveal any gap in Hardy's maximum success probability for bi-partite and tri-partite system. Information causality principle is shown to be successful in qualitatively revealing this quantum feature and this result is independent of the conjecture mentioned above.