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Evaluating Convex Roof Entanglement Measures

Géza Tóth, Tobias Moroder, and Otfried Gühne
Phys. Rev. Lett. 114, 160501 – Published 21 April 2015
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Abstract

We show a powerful method to compute entanglement measures based on convex roof constructions. In particular, our method is applicable to measures that, for pure states, can be written as low order polynomials of operator expectation values. We show how to compute the linear entropy of entanglement, the linear entanglement of assistance, and a bound on the dimension of the entanglement for bipartite systems. We discuss how to obtain the convex roof of the three-tangle for three-qubit states. We also show how to calculate the linear entropy of entanglement and the quantum Fisher information based on partial information or device independent information. We demonstrate the usefulness of our method by concrete examples.

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  • Received 27 October 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.160501

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Authors & Affiliations

Géza Tóth1,2,3,*, Tobias Moroder4, and Otfried Gühne4

  • 1Department of Theoretical Physics, University of the Basque Country UPV/EHU, E-48080 Bilbao, Spain
  • 2IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain
  • 3Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1525 Budapest, Hungary
  • 4Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany

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Vol. 114, Iss. 16 — 24 April 2015

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