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Approximation of Reachable Set for Coherently Controlled Open Quantum Systems: Application to Quantum State Engineering
Precisely characterizing and controlling realistic open quantum systems is
one of the most challenging and exciting frontiers in quantum sciences and
technologies. In this Letter, we present methods of approximately computing
reachable sets for coherently controlled dissipative systems, which is very
useful for assessing control performances. We apply this to a two-qubit nuclear
magnetic resonance spin system and implement some tasks of quantum control in
open systems at a near optimal performance in view of purity: e.g., increasing
polarization and preparing pseudo-pure states. Our work shows interesting and
promising applications of environment-assisted quantum dynamics.Comment: Extensively revised and improved version. 13 pages. All comments are
welcome. Includes Supplemental Materia