Hannover 2010 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 52: Quantum Information: Concepts and Methods IV / Photons and Nonclassical Light I
Q 52.3: Vortrag
Donnerstag, 11. März 2010, 14:30–14:45, E 214
Discrimination of graph states in experiments — •Sönke Niekamp1, Bastian Jungnitsch1, Oleg Gittsovich1, Matthias Kleinmann1, and Otfried Gühne1,2 — 1Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Technikerstraße 21a, 6020 Innsbruck, Österreich — 2Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25, 6020 Innsbruck, Österreich
Which observables should one measure in order to discriminate experimentally a state against another class of states? We will consider the case that this class is given by states that can be transformed into each other by local unitaries, or by SLOCCs (cf. [1]). We are interested in experimentally feasible measurement strategies that use a small number of measurement settings. In this talk we will argue that the relative entropy, which has previously been used to assess the statistical strength of nonlocality proofs [2], gives a measure for the certainty with which a given set of observables allows us to discriminate states. We apply this measure to graph states and the measurement of their stabilizing operators. It will be shown how the stabilizer formalism helps to compute this measure and how to find sets of observables that give maximal certainty.
[1] C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, Phys. Rev. Lett. 100, 200407 (2008)
[2] W. van Dam, R. D. Gill, and P. D. Grünwald, IEEE Trans. Inf. Theory 51, 2812 (2005)