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Phys. Rev. A 77, 032105 (2008) [5 pages]

Extending Bell inequalities to more parties

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Yu-Chun Wu1,2,3, Piotr Badziag1,3,4, Marcin Wieśniak1,3,5, and Marek Żukowski1,3,4
1Institute of Theoretical Physics and Astrophysics, University of Gdańsk, PL-80-952 Gdańsk, Poland
2Key Laboratory of Quantum Information, University of Science and Technology of China, 230026 Hefei, China
3National Quantum Information Centre of Gdansk, ul. West Andersa 27, PL 81-824 Sopot, Poland
4Alba Nova Fysikum, University of Stockholm, S106 91 Stockholm, Sweden
5Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542, Singapore

Received 2 November 2007; revised 21 December 2007; published 13 March 2008

We describe a method of extending Bell inequalities from n to n+1 parties and formulate sufficient conditions for our method to produce tight inequalities from tight inequalities. The method is nontrivial in the sense that the inequalities produced by it, when applied to entangled quantum states may be violated stronger than the original inequalities. In other words, the method is capable of generating inequalities which are more powerful indicators of nonclassical correlations than the original inequalities.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.032105
DOI:
10.1103/PhysRevA.77.032105
PACS:
03.65.Ud
 
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