@inproceedings{d471e0661f8f43c2a1250e394bd190a9,
title = "Sampling-based learning control for quantum systems with Hamiltonian uncertainties",
abstract = "Robust control design for quantum systems has been recognized as a key task in the development of practical quantum technology. In this paper, we present a systematic numerical methodology of sampling-based learning control (SLC) for control design of quantum systems with Hamiltonian uncertainties. The SLC method includes two steps of {"}training{"} and {"}testing and evaluation{"}. In the training step, an augmented system is constructed by sampling uncertainties according to possible distributions of uncertainty parameters. A gradient flow based learning and optimization algorithm is adopted to find the control for the augmented system. In the process of testing and evaluation, a number of samples obtained through sampling the uncertainties are tested to evaluate the control performance. Numerical results demonstrate the success of the SLC approach. The SLC method has potential applications for robust control design of quantum systems.",
keywords = "Hamiltonian uncertainties, Quantum control, Quantum robust control, Sampling-based learning control (SLC)",
author = "Daoyi Dong and Chunlin Chen and Ruixing Long and Bo Qi and Petersen, {Ian R.}",
year = "2013",
doi = "10.1109/CDC.2013.6760163",
language = "English",
isbn = "9781467357173",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1924--1929",
booktitle = "2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013",
address = "United States",
note = "52nd IEEE Conference on Decision and Control, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",
}