title: Quantifying Entanglement of Maximal Dimension in Bipartite Mixed States.
abstract: The Schmidt coefficients capture all entanglement properties of a pure bipartite state and therefore determine its usefulness for quantum information processing. While the quantification of the corresponding properties in mixed states is important both from a theoretical and a practical point of view, it is considerably more difficult, and methods beyond estimates for the concurrence are elusive. In particular this holds for a quantitative assessment of the most valuable resource, the forms of entanglement that can only exist in high-dimensional systems. We derive a framework for lower bounding the appropriate measure of entanglement, the so-called G-concurrence, through few local measurements. Moreover, we show that these bounds have relevant applications also for multipartite states.
authors.affiliation: Departamento de Física Teórica e Historia de la Ciencia, Universidad del País Vasco UPV/EHU, E-48080 Bilbao, Spain.
authors.forename: Gael
authors.initials: G
authors.lastname: Sentís
authors.affiliation: Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany.
authors.forename: Christopher
authors.initials: C
authors.lastname: Eltschka
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany.
authors.forename: Otfried
authors.initials: O
authors.lastname: Gühne
authors.affiliation: Física Teòrica, Informació i Fenòmens Quàntics, Universitat Autonoma de Barcelona, ES-08193 Bellaterra, Barcelona, Spain.|Group of Applied Physics, University of Geneva, 1211 Geneva 4, Switzerland.|Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, A-1090 Vienna, Austria.
authors.forename: Marcus
authors.initials: M
authors.lastname: Huber
authors.affiliation: Departamento de Química Física, Universidad del País Vasco UPV/EHU, E-48080 Bilbao, Spain.|IKERBASQUE Basque Foundation for Science, E-48013 Bilbao, Spain.
authors.forename: Jens
authors.initials: J
authors.lastname: Siewert