Estimating multipartite entanglement measures

Andreas Osterloh and Philipp Hyllus
Phys. Rev. A 81, 022307 – Published 9 February 2010

Abstract

We investigate the lower bound obtained from experimental data of a quantum state ρ, as proposed independently by O. Gühne et al. [Phys. Rev. Lett. 98, 110502 (2007)] and J. Eisert et al. [New J. Phys. 9, 46 (2007)], and apply it to mixed states of three qubits. The measure we consider is the convex-roof extended three-tangle. Our findings highlight an intimate relation to lower bounds obtained recently from so-called characteristic curves of a given entanglement measure. We apply the bounds to estimate the three-tangle present in recently performed experiments aimed at producing a three-qubit Greenberger-Horne-Zeilinger (GHZ) state. A nonvanishing lower bound is obtained if the GHZ fidelity of the produced states is larger than 3/4.

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  • Received 2 September 2009

DOI:https://doi.org/10.1103/PhysRevA.81.022307

©2010 American Physical Society

Authors & Affiliations

Andreas Osterloh1,2 and Philipp Hyllus1,3

  • 1Institut für theoretische Physik, Leibniz Universität Hannover, D-30167 Hannover, Germany
  • 2Fakultät für Physik, Universität Duisburg-Essen, D-47048 Duisburg, Germany
  • 3BEC-INFM, Dipartimento di Fisica, Università di Trento, I-38050 Povo, Italy

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Issue

Vol. 81, Iss. 2 — February 2010

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