Reliable Entanglement Detection under Coarse-Grained Measurements

D. S. Tasca, Łukasz Rudnicki, R. M. Gomes, F. Toscano, and S. P. Walborn
Phys. Rev. Lett. 110, 210502 – Published 21 May 2013
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Abstract

We derive reliable entanglement witnesses for coarse-grained measurements on continuous variable systems. These witnesses never return a “false positive” for identification of entanglement, under any degree of coarse graining. We show that even in the case of Gaussian states, entanglement witnesses based on the Shannon entropy can outperform those based on variances. We apply our results to experimental identification of spatial entanglement of photon pairs.

  • Received 14 January 2013

DOI:https://doi.org/10.1103/PhysRevLett.110.210502

© 2013 American Physical Society

Authors & Affiliations

D. S. Tasca1,2, Łukasz Rudnicki3,4,*, R. M. Gomes2,5, F. Toscano2, and S. P. Walborn2

  • 1SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom
  • 2Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, Rio de Janeiro 21941-972, Brazil
  • 3Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland
  • 4Freiburg Institute for Advanced Studies, Albert-Ludwigs University of Freiburg, Albertstrasse 19, 79104 Freiburg, Germany
  • 5Instituto de Física, Universidade Federal de Goiás, 74.001-970 Goiânia, Goiás, Brazil

  • *rudnicki@cft.edu.pl

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Issue

Vol. 110, Iss. 21 — 24 May 2013

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