Strong Monogamies of No-Signaling Violations for Bipartite Correlation Bell Inequalities

Ravishankar Ramanathan; Paweł Horodecki

doi:10.1103/physrevlett.113.210403

Strong Monogamies of No-Signaling Violations for Bipartite Correlation Bell Inequalities

Abstract

The phenomenon of monogamy of Bell inequality violations is interesting both from the fundamental perspective as well as in cryptographic applications such as the extraction of randomness and secret bits. In this article, we derive new and stronger monogamy relations for violations of Bell inequalities in general no-signaling theories. These relations are applicable to the class of binary output correlation inequalities known as xor games, and to free unique games. In many instances of interest, we show that the derived relation provides a significant strengthening over previously known results. Our result connects, for the first time, the property of monogamy with that crucial part of the Bell expression that is necessary for revealing a contradiction with local realistic predictions, thus shifting the paradigm in the field of monogamy of correlations.

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Authors (2)

Ravishankar Ramanathan
- Centrum Informatyki Kwantowej .
Paweł Horodecki prof. dr hab.

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW LETTERS no. 113, edition 21, pages 1 - 5,
ISSN: 0031-9007
Language:: English
Publication year:: 2014
Bibliographic description:: Ramanathan R., Horodecki P.: Strong Monogamies of No-Signaling Violations for Bipartite Correlation Bell Inequalities// PHYSICAL REVIEW LETTERS. -Vol. 113, iss. 21 (2014), s.1-5
DOI:: Digital Object Identifier (open in new tab) 10.1103/physrevlett.113.210403
Verified by:: Gdańsk University of Technology