Quantum nonlocality in networks can be demonstrated with an arbitrarily small level of independence between the sources

TL;DR

This paper demonstrates that quantum nonlocality in networks can be observed with only an arbitrarily small level of independence between sources, relaxing the assumption of full source independence.

Contribution

It shows that quantum nonlocality can be demonstrated in the triangle network with minimal source independence, extending previous results requiring full independence.

Findings

Quantum nonlocality observed with minimal source independence

Nonlocality persists even with arbitrarily small source correlations

Local models require perfect source correlation to reproduce quantum predictions

Abstract

Quantum nonlocality can be observed in networks even in the case where every party can only perform a single measurement, i.e. does not receive any input. So far, this effect has been demonstrated under the assumption that all sources in the network are fully independent from each other. Here we investigate to what extent this independence assumption can be relaxed. After formalizing the question, we show that, in the triangle network without inputs, quantum nonlocality can be observed, even when assuming only an arbitrarily small level of independence between the sources. This means that quantum predictions cannot be reproduced by a local model unless the three sources can be perfectly correlated.