Communication Strength of Correlations Violating Monogamy Relations
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.
KeywordsMonogamy relations No-signaling principle Capacities of communication channels
- 18.Brandão, F.G.S.L., Ramanathan, R., Grudka, A., Horodecki, K., Horodecki, M., Horodecki, P.: Robust device-independent randomness amplification with few devices. arXiv:1310.4544
- 21.Preskill, J., Lloyd, S.: Unitarity of black hole evaporation in final-state projection models, JHEP 08, 126 (2014)Google Scholar
- 22.Grudka, A., Hall, M.J.W., Horodecki, M., Horodecki, R., Oppenheim, J., Smolin, J.: arXiv:1506.07133
- 24.Moser, S.M.: Error probability analysis of binary asymmetric channels, final report of NSC project ‘Finite Blocklength Capacity’, http://moser-isi.ethz.ch/docs/papers/smos-2012-4.pdf