  A universal scheme is introduced to speed up the dynamics of a driven open
quantum system along a prescribed trajectory of interest. This framework
generalizes counterdiabatic driving to open quantum processes. Shortcuts to
adiabaticity designed in this fashion can be implemented in two alternative
physical scenarios: one characterized by the presence of balanced gain and
loss, the other involves non-Markovian dynamics with time-dependent Lindblad
operators. As an illustration, we engineer superadiabatic cooling, heating, and
isothermal strokes for a two-level system, and provide a protocol for the fast
thermalization of a quantum oscillator.
