TY - JOUR
T1 - Quantifying Entanglement of Maximal Dimension in Bipartite Mixed States
AU - Sentís, Gael
AU - Eltschka, Christopher
AU - Gühne, Otfried
AU - Huber, Marcus
AU - Siewert, Jens
PY - 2016/11/4
Y1 - 2016/11/4
N2 - © 2016 American Physical Society. 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.
AB - © 2016 American Physical Society. 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.
U2 - 10.1103/PhysRevLett.117.190502
DO - 10.1103/PhysRevLett.117.190502
M3 - Article
VL - 117
IS - 19
M1 - 190502
ER -