4.6 Article

Learning Control of Quantum Systems Using Frequency-Domain Optimization Algorithms

Journal

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
Volume 29, Issue 4, Pages 1791-1798

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCST.2020.3018500

Keywords

Frequency-domain analysis; Optimization; Optimal control; Laser modes; Robustness; Atomic beams; Femtosecond laser; frequency-domain optimization; learning control; quantum control; quantum control experiment

Funding

  1. Australian Research Council [DP190101566]
  2. National Natural Science Foundation of China [61828303, 61973317]
  3. NSF [CHE1464569]
  4. Army Research Office (ARO) [W911NF-161-0014]
  5. U.S. Office of Naval Research Global [N62909-19-1-2129]
  6. Alexander von Humboldt Foundation of Germany

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This study investigates two classes of quantum control problems in the context of ultrafast laser control of quantum systems using frequency-domain optimization algorithms. In the first class, a known system model is utilized with a gradient-based optimization algorithm to find an optimal control field. In the second class, an experimental system with an unknown model is considered, and a mixed strategy differential evolution algorithm is used to search for optimal control fields.
We investigate two classes of quantum control problems by using frequency-domain optimization algorithms in the context of ultrafast laser control of quantum systems. In the first class of problems, the system model is known and a frequency-domain gradient-based optimization algorithm is applied for searching an optimal control field to selectively and robustly manipulate the population transfer in atomic rubidium. The other class of quantum control problems involves an experimental system with an unknown model. In this case, we introduce a differential evolution algorithm with a mixed strategy to search for optimal control fields and demonstrate the capability in an ultrafast laser control experiment for the fragmentation of Pr(hfac)(3) molecules.

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