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Phys. Rev. Lett. 103, 160505 (2009) [4 pages]

Entropic Entanglement Criteria for Continuous Variables

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S. P. Walborn, B. G. Taketani, A. Salles, F. Toscano, and R. L. de Matos Filho
Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, RJ 21941-972, Brazil

Received 28 May 2009; published 15 October 2009

We derive several entanglement criteria for bipartite continuous variable quantum systems based on the Shannon entropy. These criteria are more sensitive than those involving only second-order moments, and are equivalent to well-known variance product tests in the case of Gaussian states. Furthermore, they involve only a pair of quadrature measurements, and will thus prove extremely useful in the experimental identification of entanglement.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.160505
DOI:
10.1103/PhysRevLett.103.160505
PACS:
03.67.Mn, 03.65.Ud, 42.50.Xa