  We report on a systematic geometric procedure, built up on solutions designed
in the absence of dissipation, to mitigate the effects of dissipation in the
control of open quantum systems. Our method addresses a standard class of open
quantum systems modeled by non-Hermitian Hamiltonians. It provides the
analytical expression of the extra magnetic field to be superimposed to the
driving field in order to compensate the geometric distortion induced by
dissipation, and produces an exact geometric optimization of fast population
transfer. Interestingly, it also preserves the robustness properties of
protocols originally optimized against noise. Its extension to two interacting
spins restores a fidelity close to unity for the fast generation of Bell state
in the presence of dissipation.
