  As quantum systems become more experimentally accessible, we are forced to
reconsider the notions of control and work to fully account for quantum
effects. To this end, we identify the work injected into a quantum system
during a general quantum-mechanical driving protocol and quantify the relevant
heat flows. The known results that are applicable in the limit of a classical
drive are shown to emerge from our equations as a special case. Using the
established framework, we show that the Bochkov--Kuzovlev identity for the
exclusive work distribution is modified in a nontrivial way by the accumulation
of system--drive correlations resulting from quantum backaction. Our results
accentuate the conceptual and discernible differences between a fully
quantum-mechanical and classical driving protocols of quantum systems.
