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Q: Fachverband Quantenoptik und Photonik
Q 70: Quantum Optics and Control II
Q 70.2: Talk
Friday, March 6, 2026, 11:30–11:45, P 3
How to Break Symmetries to Get Quantum Systems under Control — •Thomas Schulte-Herbrüggen1, Emanuel Malvetti1, and Gunther Dirr2 — 1Technical University of Munich (TUM), School of Natural Sciences — 2University of Würzburg, Institute of Mathematics
In quantum engineering one wants to know "what one can do" with a given controlled dynamical system when starting with given initial conditions. The degree to which such a system can be controlled (accessed), observed, tomogaphied, or Kalman-filtered is readily judged by symmetries. To wit, those symmetries shared by the dynamic generators and the observables or filters.
We give constructive guidelines how to break symmetries to bring quantum systems under control, or observation, or Kalman-filtering. They are part of an overarching frame for quantum systems theory. [For a tutorial overview, see Proc. IEEE-CDC 63 (2024), p5231-5247.]
Keywords: quantum control; observability; filtering; quantum systems theory