We develop the `duality approach', that has been extensively studied for classical models of transport, for
quantum systems in contact with a thermal `Lindbladian' bath.
The method provides (a) a mapping of the original model to a simpler one, containing only a few particles and (b)
shows that any dynamic process of this kind with generic baths may be mapped onto one with equilibrium baths.
We exemplify this through the study of a particular model: the quantum symmetric exclusion
process introduced in [1]. As in the classical case, the whole construction becomes intelligible by
considering the dynamical symmetries of the problem.