Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 35: Poster I

Q 35.1: Poster

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

Geometric measure of entanglement of mixed three-qubit-GHZ-symmetric states — •Lars Erik Buchholz, Tobias Moroder, and Otfried Gühne — Theoretische Quantenoptik, Universität Siegen, Department Physik, Emmy-Noether-Campus, Walter-Flex-Strasse 3, 57068 Siegen

Quantifying entanglement is one of the challenging tasks in quantum information theory. The simplest case containing entanglement is the two-qubit system. This was intensively studied and significant results were distilled out of it. Progressive achievements on the experimental sector makes a consideration of multipartite entanglement essential. This problem is not a trivial extension of the bipartite entanglement due to different types of entanglement classes. Consequently, there exists not just one measure but a variety of possible quantifiers.

To improve our understanding about this quantum phenomenon, one has started to investigate special cases, like the mixed GHZ-symmetric-three-qubit states of Ref. [1]. This set of states exposed to be interesting due to the fact that the GHZ-Class is a nontrivial class of genuine tripartite entanglement and because of its high symmetric properties. Partial results were already obtained in Ref. [2] like the “three-tangle” as a measure for the three particle entanglement. To complete our understanding of these states we give an explicit expression of the geometric measure of entanglement with respect to fully separable states as well as for the concurrence for this class of states.

[1] C. Eltschka and J. Siewert, PRL 108, 020502 (2012)

[2] J. Siewert and C. Eltschka, PRL 108, 230502 (2012)