  In this paper, we propose an approach to accelerate the dissipation dynamics
for quantum state generation with Lyapunov control. The strategy is to add
target-state-related coherent control fields into the dissipation process to
intuitively improve the evolution speed. By applying the current approach,
without losing the advantages of dissipation dynamics, the target stationary
states can be generated in a much shorter time as compared to that via
traditional dissipation dynamics. As a result, the current approach containing
the advantages of coherent unitary dynamics and dissipation dynamics allows for
significant improvement in quantum state generation.
