Monogamy of Bell's inequality violations in non-signaling theories

Marcin Pawlowski, Caslav Brukner

Published 2008-10-07, updated 2009-01-22Version 3

We derive monogamy relations (tradeoffs) between strengths of violations of Bell's inequalities from the non-signaling condition. Our result applies to general Bell inequalities with an arbitrary large number of partners, outcomes and measurement settings. The method is simple, efficient and does not require linear programming. The results are used to derive optimal fidelity for asymmetric cloning in nonsignaling theories.