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Phys. Rev. Lett. 88, 210402 (2002) [4 pages]

Do All Pure Entangled States Violate Bell’s Inequalities for Correlation Functions?

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Marek Żukowski1, Časlav Brukner2, Wiesław Laskowski3, and Marcin Wieśniak3
1Instytut Fizyki Teoretycznej i Astrofizyki, Uniwersytet Gdański, PL-80-952 Gdańsk, Poland
2Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria
3Wydział Matematyki i Fizyki, Uniwersytet Gdański, PL-80-952 Gdańsk, Poland

Received 18 December 2001; published 9 May 2002

Any pure entangled state of two particles violates a Bell inequality for two-particle correlation functions (Gisin’s theorem). We show that there exist pure entangled N>2 qubit states that do not violate any Bell inequality for N particle correlation functions for experiments involving two dichotomic observables per local measuring station. We also find that Mermin-Ardehali-Belinskii-Klyshko inequalities may not always be optimal for refutation of local realistic description.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.210402
DOI:
10.1103/PhysRevLett.88.210402
PACS:
03.65.Ud, 03.67.-a, 42.50.-p