Physics
Technische Universität München
Institute for Advanced Study (IAS)
In applying classical numerical methods to interacting quantum systems that are the basis of quantum simulators, a fundamental limitation emerges: the so-called curse of dimensionality, that the computational effort scales exponentially with the dimension of the Hilbert space for systems described by multiparticle Schrödinger equations. Unfortunately, there is no known universal “fix” for this problem, however, classical simulation methods have progressed enormously in recent years. For example, tensor product factorization methods (TNS) have been developed that result in an optimization problem can be carried out with only polynomial effort. The present key-scientific programme on the HLRS will focus on the development and application of a professional-level massively parallel hybrid CPU/GPU software package based on TNS algorithms that can efficiently treat quantum many body problems in quantum chemistry and in condensed-matter and nuclear physics on HPC infrastructures.