The group led by Torsten Zache performs research in Theoretical Quantum Simulation, at the interface of quantum information, condensed matter, and high-energy physics. The focus lies on fundamental questions that cannot be answered by traditional perturbative methods or classical computer simulations, such as the behaviour of strongly correlated quantum many-body systems far from equilibrium. A central goal is the development of quantum algorithms for simulating quantum field theories---both for analog quantum simulators based on trapped ions or neutral atoms, as well as for universal quantum computers. To this end, we employ a variety of analytical and numerical methods, and often work in close contact with experimentalists.