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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 2: Quanteninformation
MP 2.4: Vortrag
Dienstag, 26. Februar 2013, 15:15–15:40, HS 8
Lie-theoretic results in (unitary) Quantum Control Theory — •Zoltán Zimborás1,2, Robert Zeier3, Michael Keyl2, and Thomas Schulte-Herbrüggen3 — 1Department of Theoretical Physics, University of the Basque Country UPV/EHU, Bilbao, Spain — 2Institute for Scientific Interchange Foundation, Torino, Italy — 3Department of Chemistry, Technical University of Munich (TUM), Garching, Germany
We shortly review the Lie-theoretic framework of quantum control theory. In particular, conditions for full controllability and pure state reachability both in the presence and in the absence of symmetries are discussed. Finally, we mention concrete applications concerning translation-invariant and fermionic systems.
[1] Zoltán Zimborás, Robert Zeier, Michael Keyl, Thomas Schulte-Herbrüggen, A Dynamic Systems Approach to Fermions and Their Relation to Spins, arXiv:1211.2226