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Phys. Rev. Lett. 95, 210402 (2005) [4 pages]

Optimal Bell Tests Do Not Require Maximally Entangled States

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Antonio Acín1, Richard Gill2, and Nicolas Gisin3
1ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain
2Mathematical Institute, University of Utrecht, Box 80010, 3508 TA Utrecht, The Netherlands
3GAP-Optique, University of Geneva, 20, Rue de l’École de Médecine, CH-1211 Geneva 4, Switzerland

Received 7 July 2005; published 17 November 2005

Any Bell test consists of a sequence of measurements on a quantum state in spacelike separated regions. Thus, a state is better than others for a Bell test when, for the optimal measurements and the same number of trials, the probability of existence of a local model for the observed outcomes is smaller. The maximization over states and measurements defines the optimal nonlocality proof. Numerical results show that the required optimal state does not have to be maximally entangled.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.210402
DOI:
10.1103/PhysRevLett.95.210402
PACS:
03.65.Ud, 03.67.−a