The development of state-of-the-art simulation methods for large quantum mechanical systems and their application in solid-state physics and quantum chemistry. Quantum simulations are an area where the most significant applications of medium-sized and slightly noisy quantum chips developed in the near future are expected. This intention includes the design of new algorithms to study properties of quantum phases (topological arrangements) for the analysis of hyperbolic geometries of spacetime (quantum theory of gravity), fractal structures, and multidimensional quantum states of particles.

Since simulations are inherently challenging, the second goal of this intent is to understand the computational complexity of simulation and optimization tasks that occur in industrial applications (chip transistor layout design, image recognition) and solid-state physics (finding the lowest energy states, understanding correlations). The result will be not only basic research at the border of theoretical computer science and quantum physics but also practical, more efficient optimization algorithms that make full use of available quantum resources (coupling, superposition, tunneling).