  Controlling the dynamics of quantum systems is a crucial task in quantum
science and technology. Obtaining the driving field that transforms the quantum
systems to its objective is a typical control task. This task is hard, scaling
unfavorably with the size of Hilbert space. To tackle this issue we employ
typicality to assist in finding the control field for such systems. To
demonstrate the method we choose the control task of cooling the fine structure
states of the AlF molecule, from relatively high temperatures which results in
large Hilbert space. Using quantum typicality, we demonstrate that we can
simulate an ensemble of states, enabling a control task addressing
simultaneously many states. We employ this method to find a control field for
cooling molecules with large number of internal sates, corresponding to high
initial temperatures.
