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APS » Journals » Phys. Rev. Lett. » Volume 102 » Issue 3
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Phys. Rev. Lett. 102, 030403 (2009) [4 pages]

Monogamy of Bell’s Inequality Violations in Nonsignaling Theories

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Marcin Pawłowski1,2 and Časlav Brukner2,3
1Institute of Theoretical Physics and Astrophysics, University of Gdańsk, PL-80-952 Gdańsk, Poland
2Institute of Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria
3Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria

Received 30 October 2008; published 22 January 2009

We derive monogamy relations (tradeoffs) between strengths of violations of Bell’s inequalities from the nonsignaling 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 programing. The results are used to derive optimal fidelity for asymmetric cloning in nonsignaling theories.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.030403
DOI:
10.1103/PhysRevLett.102.030403
PACS:
03.65.Ud, 03.65.Ta, 03.67.Mn
 
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