Rostock 2019 – wissenschaftliches Programm

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SYPS: PhD-Symposium - Optimal Control Theory in the Leading Domains of Quantum Technology

SYPS 1: PhD - Symposium: Optimal Control Theory in the Leading Domains of Quantum Technology

SYPS 1.3: Hauptvortrag

Montag, 11. März 2019, 15:00–15:30, U Audimax

Principles of Quantum Systems Theory and Control Engineering — •Thomas Schulte-Herbrüggen — Technical University of Munich (TUM), Germany

We exemplify system-theoretical principles and tools by analysing systems following an extended Lindblad master equation. The extensions incorporate coherent and incoherent controls and make the dynamics take the form of a (bilinear) control system thus setting the frame for the tutorial.

In this picture, a Quantum Noether-type Theorem naturally arises and relates symmetries to fixed points. It allows for symmetry assessment of controllability in closed systems and, analogously, accessibility in open Markovian systems—both in a unified frame.

By recent examples we illustrate how breaking system symmetries with the help of numerical optimal control then paves the way to exploiting the full quantum potential of experimental set-ups pertinent in quantum engineering and emerging technologies.