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Phys. Rev. Lett. 106, 200402 (2011) [4 pages]

Hardy’s Paradox and Violation of a State-Independent Bell Inequality in Time

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Alessandro Fedrizzi1, Marcelo P. Almeida1, Matthew A. Broome1, Andrew G. White1, and Marco Barbieri2
1Centre for Engineered Quantum Systems and Centre for Quantum Computer and Communication Technology, School of Mathematics and Physics, University of Queensland, 4072 Brisbane, QLD, Australia
2Groupe d’Optique Quantique, Laboratoire Charles Fabry, Institut d’Optique, CNRS, Université Paris-Sud XI, Campus Polytechnique, RD 128, 91127 Palaiseau cedex, France

Received 19 December 2010; published 20 May 2011

Tests such as Bell’s inequality and Hardy’s paradox show that joint probabilities and correlations between distant particles in quantum mechanics are inconsistent with local realistic theories. Here we experimentally demonstrate these concepts in the time domain, using a photonic entangling gate to perform nondestructive measurements on a single photon at different times. We show that Hardy’s paradox is much stronger in time and demonstrate the violation of a temporal Bell inequality independent of the quantum state, including for fully mixed states.

© 2011 American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.106.200402
DOI:
10.1103/PhysRevLett.106.200402
PACS:
03.65.Ud, 03.67.-a, 42.50.Ex