Optimal Control Landscapes
Numerous lines of
experimental,
numerical and analytical evidence indicate that it is surprisingly easy
to locate optimal controls steering quantum dynamical systems to
desired objectives. This has enabled the control of complex
quantum
systems despite the expense of solving the Schrodinger equation in
simulations and the complicating effects of environmental
decoherence in the laboratory. Recent work indicates that this
simplicity originates in universal properties of the solution sets to
quantum control problems that are fundamentally different from their
classical counterparts. Here, we review studies that aim to
systematically characterize these properties, enabling the
classification of quantum control mechanisms and the design of globally
efficient quantum control algorithms.
Quantum Control Landscapes
R. Chakrabarti and H. Rabitz, Int. Rev. Phys. Chem. 21: 671-735 (2007).
Eprint arXiv:0710.0684 [quant-ph]
Some of our recent work in this area is highlighted. Future research plans are outlined in the document "Coherent Control of Complex Quantum Dynamics".
Raj Chakrabarti
6/08