  Control at the interface between the classical and the quantum world is
fundamental in quantum physics. In particular, how classical control is
enhanced by coherence effects is an important question both from a theoretical
as well as from a technological point of view. In this work, we establish a
resource theory describing this setting and explore relations to the theory of
coherence, entanglement and information processing. Specifically, for the
coherent control of quantum systems the relevant resources of entanglement and
coherence are found to be equivalent and closely related to a measure of
discord. The results are then applied to the DQC1 protocol and the precision of
the final measurement is expressed in terms of the available resources.
