title: 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.
authors.affiliation: National Quantum Information Center of Gdansk, 81-824 Sopot, Poland and University of Gdansk, 80-952 Gdansk, Poland.
authors.forename: Ravishankar
authors.initials: R
authors.lastname: Ramanathan
authors.affiliation: National Quantum Information Center of Gdansk, 81-824 Sopot, Poland and Faculty of Applied Physics and Mathematics, Technical University of Gdansk, 80-233 Gdansk, Poland.
authors.forename: Paweł
authors.initials: P
authors.lastname: Horodecki