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Phys. Rev. Lett. 88, 060403 (2002) [4 pages]

Violating Bell's Inequality Beyond Cirel'son's Bound

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Adán Cabello*
Departamento de Física Aplicada II, Universidad de Sevilla, 41012 Sevilla, Spain

Received 21 August 2001; revised 12 November 2001; published 29 January 2002

Cirel’son inequality states that the absolute value of the combination of quantum correlations appearing in the Clauser-Horne-Shimony-Holt (CHSH) inequality is bound by 2√2. It is shown that the correlations of two qubits belonging to a three-qubit system can violate the CHSH inequality beyond 2√2. Such a violation is not in conflict with Cirel’son’s inequality because it is based on postselected systems. The maximum allowed violation of the CHSH inequality, 4, can be achieved using a Greenberger-Horne-Zeilinger state.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.060403
DOI:
10.1103/PhysRevLett.88.060403
PACS:
03.65.Ta, 03.65.Ud

*Electronic address: adan@us.es