We ask what information processing tasks are possible using single quantum systems as carriers of information. On the one hand, we think about the mathematical-theoretical foundations of quantum information, specifically about the theory of entanglement and questions of tomography.
A main emphasis of our theoretical research is on the theory of quantum systems with many degrees of freedom, particularly in the condensed matter context, concerning their static properties, their efficient numerical simulation, as well as their quantum dynamics in non-equilibrium. Tensor networks play a special role here.
We are also involved in identifying quantum optical realizations of such ideas, specifically using light modes or cold atoms in optical lattices.
Characteristic for our work is to be guided by the rigor of mathematical physics, but at the same time to be pragmatically and physically motivated, which often leads to collaborations with experimentalists.