Erlangen 2026 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 8: Poster Session
MP 8.7: Poster
Wednesday, March 18, 2026, 18:00–18:45, Redoutensaal
Speed Limits from Symmetries in Quantum Control — •Marco Weidmann1, Santana Lujan1,2, and Daniel Burgarth1 — 1Friedrich-Alexander Universität Erlangen-Nürnberg — 2German Aerospace Center (DLR)
We present lower bounds on the time needed to implement any given unitary operation in a given control system. The bound crucially depends on the size of the minimal perturbation to the control system that renders the target operation unreachable. This reachability analysis is carried out using the tools of geometric control theory, which are deeply rooted in the theory of Lie Algebras and their commutants. Using Semidefinite programming (SDP) and gradient optimization techniques, we calculate the smallest perturbation that increases the dimension of the commutant of the tensor-square representation.
Keywords: Lie Algebras; Quantum Control Theory; Semidefinite programming; Quantum Speed Limits