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Phys. Rev. A 77, 062106 (2008) [5 pages]

Mermin inequalities for perfect correlations

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Adán Cabello1,*, Otfried Gühne2,3, and David Rodríguez4
1Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain
2Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, A-6020 Innsbruck, Austria
3Institute für Theoretische Physik, Universität Innsbruck, A-6020 Innsbruck, Austria
4Departamento de Física Aplicada III, Universidad de Sevilla, E-41092 Sevilla, Spain

Received 6 August 2007; revised 1 April 2008; published 13 June 2008

Any n-qubit state with n independent perfect correlations is equivalent to a graph state. We present the optimal Bell inequalities for perfect correlations and maximal violation for all classes of graph states with n≤6 qubits. Twelve of them were previously unknown and four give the same violation as the Greenberger-Horne-Zeilinger state, although the corresponding states are more resistant to decoherence.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.062106
DOI:
10.1103/PhysRevA.77.062106
PACS:
03.65.Ud, 03.67.Mn, 03.67.Pp, 42.50.−p

*adan@us.es