Speak­ers

Tristan Benoist (Toulouse)

Daniel Burgarth (Erlangen)

Marilena Ligabo (Bari)

Melchior Wirth (Leipzig)

Registration is free but mandatory. Please use the following website:

https://indico.uni-paderborn.de/event/174/

There is a limited amount of financial support, please apply before August 15th.

If you would like to give a contributed talk, please let us know until September 1st via the registration tool.

Tristan Benoist: TBA

Daniel Burgarth: Quantum control - steering finite and infinite dimensional quantum systems

Quantum control is an interdisciplinary area between engineering, physics and mathematics. While much of physics and mathematics aims to solve differential equations, engineers often start with the desired solution and work backwards to find a suitable differential equation. In the context of quantum mechanics, this amounts to using the Schrödinger equation or master equations to engineer quantum gates and states. For finite dimensional systems, there is a nice Lie-algebraic theory which I will introduce. For infinite dimensional systems, some interesting partial results are known, and I will give a selection of these, driven by recent research.

Marilena Ligabò: TBA

Melchior Wirth: Quantum Markov Semigroups and Their Generators

Quantum Markov semigroups (QMS) describe the time time evolution of open quantum systems in regimes when memory effects can be neglected. For such systems, the evolution is governed by the master equation ρ̇_t=Lρ_t and the superoperator L is called the generator of the QMS. In these lectures, I will discuss which superoperators occur as generators of QMS both in finite and infinite dimensions. Of particular interest is the case when the open system is coupled to an environment in equilibrium, which is captured by a detailed balance condition.  I will present a class of mathematical models of detailed balance conditions and discuss how they are reflected in the generator.