Dresden 2011 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 7: Quantum Information: Concepts and Methods 1

Q 7.2: Vortrag

Montag, 14. März 2011, 10:45–11:00, SCH A118

Linking a distance measure of entanglement to its convex roof — •Alexander Streltsov, Hermann Kampermann, and Dagmar Bruß — Heinrich-Heine-Universität Düsseldorf, Institut für Theoretische Physik III, D-40225 Düsseldorf

An important problem in quantum information theory is the quantification of entanglement in multipartite mixed quantum states. We establish a new connection between the geometric measure of entanglement and a distance measure of entanglement. A direct application of our result provides a closed expression for the Bures measure of entanglement of two qubits. We also prove that the number of elements in an optimal decomposition with respect to the geometric measure of entanglement is bounded from above by the Caratheodory bound, and we find necessary conditions for the structure of an optimal decomposition. Further we present a new algorithm for an upper bound of the geometric measure of entanglement. See also arXiv:1006.3077 [quant-ph]