27 A Brief on Quantum Systems Theory and Control Engineering
Thomas Schulte‐Herbrüggen1, Robert Zeier1, Michael Keyl2 and Gunther Dirr3
1 Technische Universität München, Department Chemie, Lichtenbergstrasse 4, D‐85747 Garching, Germany
2 Freie Universität Berlin, Dahlem Center for Complex Quantum Systems, Arnimallee 14, 14195 Berlin, Germany
3 Universität Würzburg, Mathematisches Institut II, Emil‐Fischer‐Strasse 40, 97074 Würzburg, Germany
We illustrate a unified frame of quantum systems theory in view of control engineering. In particular, we shift controllability criteria from the well‐known Lie‐algebra rank condition to symmetry conditions that are easy to check yet rigorously rooted in the branching diagrams for simple subalgebras ...
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