Non-Markovian quantum dynamics identification and control

Non-Markovian quantum dynamics simulation and control is a notoriously difficult problem frequently met in the field of quantum technologies. One typically tries to avoid dealing with non-Markovianity in the context of quantum technologies by using approximations of Born-Markov type or by considering systems that are almost Markovian in nature. However, non-Markovianity is a resource, that can be used for improvement of the current generation of NISQ devices. In this talk, we will demonstrate our recent progress in understanding of quantum non-Markovianity from "engineering" view point. We will demonstrate new methods for data-driven non-Markovian dynamics identification, data-driven quantum environment model reconstruction and finally a control method allowing usage of non-Markovianity as a valuable resource