Elemental and tight monogamy relations in nonsignaling theories

R. Augusiak; Maciej Demianowicz; M. Pawłowski; J. Tura; A. Acín

doi:10.1103/physreva.90.052323

Elemental and tight monogamy relations in nonsignaling theories

Abstract

Physical principles constrain the way nonlocal correlations can be distributed among distant parties. These constraints are usually expressed by monogamy relations that bound the amount of Bell inequality violation observed among a set of parties by the violation observed by a different set of parties. We prove here that much stronger monogamy relations are possible for nonsignaling correlations by showing how nonlocal correlations among a set of parties limit any form of correlations, not necessarily nonlocal, shared among other parties. In particular, we provide tight bounds between the violation of a family of Bell inequalities among an arbitrary number of parties and the knowledge an external observer can gain about outcomes of any single measurement performed by the parties. Finally, we show how the obtained monogamy relations offer an improvement over the existing protocols for device-independent quantum key distribution and randomness amplification.

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Authors (5)

R. Augusiak
- ICFO–Institut de Ciencies Fotoniques
Maciej Demianowicz dr hab. inż.
- ICFO–Institut de Ciencies Fotonique
M. Pawłowski
- UG
J. Tura
- ICFO–Institut de Ciencies Fotonique
A. Acín
- ICFO–Institut de Ciencies Fotonique

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DOI:: Digital Object Identifier (open in new tab) 10.1103/PhysRevA.90.052323
License: Copyright (2014 American Physical Society)

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Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW A no. 90, pages 1 - 10,
ISSN: 2469-9926
Language:: English
Publication year:: 2014
Bibliographic description:: Augusiak R., Demianowicz M., Pawłowski M., Tura J., Acín A.: Elemental and tight monogamy relations in nonsignaling theories// PHYSICAL REVIEW A. -Vol. 90, (2014), s.1-10
DOI:: Digital Object Identifier (open in new tab) 10.1103/physreva.90.052323
Verified by:: Gdańsk University of Technology