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TT: Fachverband Tiefe Temperaturen

TT 27: Transport: Quantum Coherence and Quantum Information Systems - Theory 1
(Joint session of HL, MA and TT organized by TT)

TT 27.11: Vortrag

Dienstag, 8. März 2016, 12:15–12:30, H22

Upper bound for SL-invariant entanglement measures for mixed states of arbitrary rank — •Andreas Osterloh — Universität Duisburg-Essen, Lotharstr. 1, 47048 Duisburg, Germany.

I present an algorithm that calculates an SL-invariant entanglement measure E as the threetangle of a mixed state of arbitrary rank. It is an alternative algorithm to ref. [1] and exploits the knowledge obtained for the rank-two case [2,3]. Whereas the known algorithm has an advantage of taking into consideration the whole range of the density matrix ρ, it on the other hand has the disadvantage of searching in a high-dimensional Hilbert space. Here, I only consider ensembles of two states each time but then calculate the upper bound obtained by the method presented in [2,3]. I discuss examples where the advantage of the new algorithm is obvious, but also highlight the obvious disadvantage of only considering rank two parts of ρ.
S. Rodriques, N. Datta, and P. Love, PRA 90, 012340 (2014)
R. Lohmayer, A. Osterloh, J. Siewert, and A. Uhlmann,

PRL 97, 260502 (2006)
A. Osterloh, J. Siewert, and A. Uhlmann, PRA 77, 032310 (2008).