Abstract
Quantum technologies have emerged as promising avenues for advancing various fields. The development of these technologies requires precise quantum control. To achieve this, the development of novel control schemes necessitates interactive supercomputing, fast optimization techniques, and advanced test and measurement equipment. In this talk, we delve into the realm of quantum control, with a focus on manipulating quantum systems using Hamiltonians composed of drift and control terms over many time steps. This can be efficiently achieved in highly parallel on GPUs. The performance boost is particularly prominent for small to medium-sized quantum systems, which represent the majority of systems currently under experimental investigation. Our scheme, called PARAlellized Matrix Exponentiation for Numerical Time evolution (PARAMENT), leverages exponential integrators and relies solely on BatchedBLAS functions. This enables easy adaptation of PARAMENT to various applications.