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Q: Fachverband Quantenoptik und Photonik
Q 3: Quantum Information (Concepts and Methods) I
Q 3.1: Gruppenbericht
Montag, 9. März 2020, 11:00–11:30, e001
Breaking Symmetries in Quantum Control Engineering: Principles and Applications — •Thomas Schulte-Herbrüggen1, Ville Bergholm1, Witlef Wieczorek2, Michael Keyl3, Frederik vom Ende1, and Amit Devra1 — 1Dept. Chem., TU-Munich (TUM), Munich, Germany — 2Dept. Microtechnology and Nanoscience, Chalmers University of Technology, Sweden — 3Dahlem Centre for Complex Quantum Systems, FU Berlin, Germany
In emerging quantum technologies, quantum optimal control is often key to unlock the full potential of experimental set-ups.
For quantum engineering, our Lie frame of quantum systems theory provides full symmetry assessment of controllability, accessibility and reachability. In view of quantum sensing, here we focus the same tools on observability and tomographiability.
We see which symmetries to break to get a better handle both on the preparation and the detection of states. Principles are put into practice by optimal control.
Our recent proposal for an optomechanical oscillator extended by a two-level atom is a perfect illustration: without breaking the system symmetries of the optomechanical oscillator, one can only interconvert within classes of states of the same Wigner negativity. Coupling to the atom breaks the symmetry and thus allows to go between them, e.g., from Gaussian states to non-classical ones.
Worked examples thus elucidate guiding principles for quantum technologies 2.0.