Freiburg 2019 – wissenschaftliches Programm
Sitzungen | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
FM: Fall Meeting
FM 13: Open and Complex Quantum Systems I
FM 13.2: Talk
Montag, 23. September 2019, 14:30–14:45, 3042
Reachability in Infinite Dimensional Unital Open Quantum Systems with Switchable GKS-Lindblad Generators — •Frederik vom Ende1, Gunther Dirr2, Michael Keyl3, and Thomas Schulte-Herbrüggen1 — 1TU Munich, 85748 Garching, Germany — 2University of Würzburg, 97074 Würzburg, Germany — 3Freie Universität Berlin, 14195 Berlin, Germany
In quantum systems theory one of the fundamental problems boils down to: given an initial state, which final states can be reached by the dynamic system in question. Here we consider infinite dimensional open quantum dynamical systems following a unital Kossakowski-Lindblad master equation extended by controls. More precisely, their time evolution shall be governed by an inevitable (potentially unbounded) Hamiltonian drift term, finitely many bounded control Hamiltonians allowing for (at least) piecewise constant control amplitudes plus a bang-bang switchable noise term in Kossakowski-Lindblad form (generated by some compact Lindblad-V). Generalizing standard majorization results from finite to infinite dimensions, we show that such bilinear quantum control systems allow to approximately reach any target state majorized by the initial one as up to now only has been known in finite dimensional analogues.