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Relative Entropy of Entanglement and Restricted Measurements

Source: Phys. Rev. Lett. 103, 160504 (2009); doi:10.1103/PhysRevLett.103.160504

Published 14 October 2009

PACS
  • 03.67.Mn
    Entanglement measures, witnesses, and other characterizations (quantum information)
  • 03.65.Ud
    Entanglement and quantum nonlocality
  • YEAR: 2009
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PUBLICATION DATA
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M. Piani
Institute for Quantum Computing & Department of Physics and Astronomy, University of Waterloo, 200 University Avenue W., N2L 3G1 Waterloo, Canada
We introduce variants of relative entropy of entanglement based on the optimal distinguishability from unentangled states by means of restricted measurements. In this way we are able to prove that the standard regularized entropy of entanglement is strictly positive for all multipartite entangled states. This implies that the asymptotic creation of a multipartite entangled state by means of local operations and classical communication always requires the consumption of a nonlocal resource at a strictly positive rate. ©2009 The American Physical Society
History: Received 21 July 2009; published 14 October 2009
Permalink: http://link.aps.org/abstract/PRL/v103/e160504

REFERENCES (26)

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  1. C. H. Bennett et al., Phys. Rev. Lett. 70, 1895 (1993).
  2. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
  3. R. Horodecki et al., Rev. Mod. Phys. 81, 865 (2009).
  4. V. Vedral and M. B. Plenio, Phys. Rev. A 57, 1619 (1998).
  5. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. 78, 2275 (1997).
  6. V. Vedral, Rev. Mod. Phys. 74, 197 (2002).
  7. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 84, 2014 (2000).
  8. K. G. H. Vollbrecht and R. F. Werner, Phys. Rev. A 64, 062307 (2001).
  9. D. Yang et al., Phys. Rev. Lett. 95, 190501 (2005).
  10. C. M. Caves, C. A. Fuchs, and R. Schack, J. Math. Phys. (N.Y.) 43, 4537 (2002).
  11. M. Piani et al., Phys. Rev. Lett. 102, 250503 (2009).
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