Most dynamical systems can be modeled using differential equations. However, solving dynamical equations, even for linear equations, across the entire vector space can be challenging. Take quantum dynamics, for instance, which is generally governed by time-dependent Schrodinger equations. Propagating the quantum state at each time step for high dimensional systems, such as those with numerous…

Our project is concerned with developing quantum control strategies to achieve physical objectives by means of recursive observable tracking. More specifically, we study how to construct time-dependent electric fields which force observable expectation values to increase, decrease, or follow a predefined function.