Quantifying Entanglement of Maximal Dimension in Bipartite Mixed States

Author(s): G. Sentís, C. Eltschka, O. Gühne, M. Huber, J. Siewert

Journal: Physical Review Letters

Volume: 117

Year: 2016

DOI Number: 10.1103/PhysRevLett.117.190502

Link: Link to publication

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.

Note: Iss. 19