Bremen 2017 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Quantum Information and Thermodynamics

MP 2.2: Vortrag

Montag, 13. März 2017, 14:55–15:15, SFG 2010

Advances in Lie Systems-Theory for Quantum Dynamics: From Ensembles to Control Design — •Thomas Schulte-Herbrüggen¹, Ville Bergholm^1,2, Gunther Dirr³, and Robert Zeier¹ — ¹Technical University of Munich (TUM) — ²University of Helsinki — ³University of Würzburg

Recently we showed that all Markovian quantum maps can be represented by Lie semigroups. Lie groups and Lie semigroups with their symmetries provide a unified framework to pinpoint the dynamic behaviour of closed and open quantum systems under all kinds of controls.

Here we give a Lie picture of ensemble control in terms of Lie-relatedness within semisimple Lie algebras.

We extend capabilities by combining coherent control with simplest noise controls. Particular light is shed on the limits of reachability under open-loop versus closed-loop control designs.