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Phys. Rev. Lett. 103, 180402 (2009) [4 pages]

Testing for Multipartite Quantum Nonlocality Using Functional Bell Inequalities

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Q. Y. He1, E. G. Cavalcanti2, M. D. Reid1, and P. D. Drummond1
1Centre for Quantum-Atom Optics, Swinburne University of Technology, Melbourne, Australia
2Centre for Quantum Dynamics, Griffith University, Brisbane QLD 4111, Australia

Received 29 May 2009; revised 11 September 2009; published 29 October 2009

We show that arbitrary functions of continuous variables, e.g., position and momentum, can be used to generate tests that distinguish quantum theory from local hidden variable theories. By optimizing these functions, we obtain more robust violations of local causality than obtained previously. We analytically calculate the optimal function and include the effect of nonideal detectors and noise, revealing that optimized functional inequalities are resistant to standard forms of decoherence. These inequalities could allow a loophole-free Bell test with efficient homodyne detection.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.180402
DOI:
10.1103/PhysRevLett.103.180402
PACS:
03.65.Ud, 03.65.Ta, 03.67.Mn, 42.50.Dv