We apply the time-dependent decoherence-free subspace theory to a Markovian
open quantum system in order to present a novel proposal for quantum-state
engineering program. By quantifying the purity of the quantum state, we verify
that the quantum-state engineering process designed via our method is
completely unitary within any total engineering time. Even though the controls
on the open quantum system are not perfect, the asymptotic purity is still
robust. Owing to its ability to completely resist decoherence and the lack of
restraint in terms of the total engineering time, our proposal is suitable for
multitask quantum-state engineering program. Therefore, this proposal is not
only useful for achieving the quantum-state engineering program experimentally,
it also helps us build both a quantum simulation and quantum information
equipment in reality.Comment: 8 pages, 6 figures, to be published in Phys. Rev.