Post-quantum nonlocality in the minimal triangle scenario

TL;DR

This paper demonstrates that in a minimal triangle network scenario, certain nonlocal correlations exist that cannot be realized by classical or quantum sources, revealing a form of network nonlocality that is robust to noise.

Contribution

It introduces the first explicit example of nonlocal correlations in the minimal triangle scenario that are incompatible with quantum or classical models, expanding understanding of network nonlocality.

Findings

Identifies nonlocal correlations in the minimal triangle scenario.

Shows these correlations are incompatible with quantum and classical sources.

Demonstrates robustness of nonlocality to noise.

Abstract

We investigate network nonlocality in the triangle scenario when all three parties have no input and binary outputs. Through an explicit example, we prove that this minimal scenario supports nonlocal correlations compatible with no-signaling and independence of the three sources, but not with realisations based on independent quantum or classical sources. This nonlocality is robust to noise. Moreover, we identify the equivalent to a Popescu-Rohrlich box in the minimal triangle scenario.