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Phys. Rev. Lett. 88, 210401 (2002) [4 pages]

Bell’s Theorem for General N-Qubit States

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

Received 28 June 2001; published 9 May 2002

We derive a single general Bell inequality which is a sufficient and necessary condition for the correlation function for N particles to be describable in a local and realistic picture, for the case in which measurements on each particle can be chosen between two arbitrary dichotomic observables. We also derive a necessary and sufficient condition for an arbitrary N-qubit mixed state to violate this inequality. This condition is a generalization and reformulation of the Horodecki family condition for two qubits.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.210401
DOI:
10.1103/PhysRevLett.88.210401
PACS:
03.65.Ud, 03.67.-a, 42.50.Ar