Foundations of Physics

, Volume 46, Issue 5, pp 620–634

Communication Strength of Correlations Violating Monogamy Relations

  • Waldemar Kłobus
  • Michał Oszmaniec
  • Remigiusz Augusiak
  • Andrzej Grudka
Article

DOI: 10.1007/s10701-015-9983-5

Cite this article as:
Kłobus, W., Oszmaniec, M., Augusiak, R. et al. Found Phys (2016) 46: 620. doi:10.1007/s10701-015-9983-5

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.

Keywords

Monogamy relations No-signaling principle Capacities of communication channels 

Funding information

Funder NameGrant NumberFunding Note
Fundacja na rzecz Nauki Polskiej
  • Start
Ministerstwo Nauki i Szkolnictwa Wyższego
  • IdP2011 000361
Ministerstwo Nauki i Szkolnictwa Wyższego
  • IdP2011 000361
European Research Council
  • QOLAPS
Narodowe Centrum Nauki
  • DEC-2011/01/M/ST2/00379

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Waldemar Kłobus
    • 1
  • Michał Oszmaniec
    • 2
    • 3
  • Remigiusz Augusiak
    • 2
    • 3
  • Andrzej Grudka
    • 1
  1. 1.Faculty of PhysicsAdam Mickiewicz UniversityPoznańPoland
  2. 2.ICFO–Institut de Ciencies FotoniquesCastelldefels (Barcelona)Spain
  3. 3.Center for Theoretical PhysicsPolish Academy of SciencesWarszawaPoland

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