Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 13: Quantum information: Concepts and methods I

Q 13.7: Talk

Monday, March 18, 2013, 15:30–15:45, E 214

Multiparticle negativity - a computable entanglement monotone for mixed states — •Martin Hofmann, Tobias Moroder, and Otfried Gühne — Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany

The detection of genuine multiparticle entanglement in composite systems of three or more particles is a challenging task and many results known so far, can be applied to pure states only.

One way to detect entanglement of multiparticle mixed states is given in [1]. The main idea of the authors is to try to decompose a mixed state into a convex combination of PPT states. If this can not be done for the state in question, then it is clearly genuine multiparticle entangled and there exists an entanglement witness detecting the state. This idea then finally leads to a computable entanglement monotone, which is based on semidefinite programing.

In our work we analytically investigate monogamy relations for this entanglement monotone. Additionally, we relate the monotone to a mixed state convex roof of the negativity.

B. Jungnitsch et al., Phys. Rev. Lett. 106, 190502 (2011)