Communication strength of correlations violating monogamy relations

TL;DR

This paper investigates the potential for correlations that violate monogamy relations to be used for communication, quantifying the maximum information transfer possible in such scenarios.

Contribution

It introduces a framework linking monogamy-violating correlations to classical channels and calculates the minimal information transfer in these cases.

Findings

Correlations violating monogamy can be used to send information.

The capacity of these correlations as classical channels is quantified.

Minimal information transfer in such scenarios is determined.

Abstract

In any theory satisfying the no-signaling principle correlations generated among spatially separated parties in a Bell-type experiment are subject to certain constraints known as monogamy relations. Recently, in the context of the black hole information loss problem it was suggested that these monogamy relations might be violated. This in turn implies that correlations arising in such a scenario must violate the no-signaling principle and hence can be used to send classical information between parties. Here, we study the amount of information that can be sent using such correlations. To this aim, we first provide a framework associating them with classical channels whose capacities are then used to quantify the usefulness of these correlations in sending information. Finally, we determine the minimal amount of information that can be sent using signaling correlations violating the monogamy relation associated to the chained Bell inequalities.