Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 35: Poster I

Q 35.3: Poster

Tuesday, March 19, 2013, 16:00–18:30, Empore Lichthof

A universal measure for genuine multipartite entanglement — •Florian Sokoli and Gernot Alber — Institut für Angewandte Physik, Technische Universität Darmstadt

In addition to the standard concept of multipartite entanglement so called genuine multipartite entanglement has become an interesting and challenging field of reaserch. We provide a measure for quantifying genuine multipartite entanglement and several other types of entanglement based on Arvesons entanglement measure [1]. This measure is given by a norm and applies to all types of multipartite quantum states on finitely many finite dimensional Hilbert spaces. Furthermore, we propose an intuitive partial order relation on the set of all entanglement types and show that our measure is monotonous with respect to that order yielding a natural system of mutual estimations between the measures for different kinds of entanglement. Finally, we demonstrate how to reduce the computation of our measure for an arbitrary mixed state to its computation for a corresponding pure state on an enlarged system. This work is financially supported by the Center of Advanced Security Darmstadt.

[1] W. Arveson, Maximal vectors in Hilbert space and quantum entanglement, J. Funct. Analysis 256, 1476-1510 (2009) arXiv:0804.1140[math.OA]