Chattering Phenomenon in Quantum Optimal Control
Quantum Physics
2023-01-11 v2
Abstract
We present a quantum optimal control problem which exhibits a chattering phenomenon. This is the first instance of such a process in quantum control. Using the Pontryagin Maximum Principle and a general procedure due to V. F. Borisov and M. I. Zelikin, we characterize the local optimal synthesis, which is then globalized by a suitable numerical algorithm. We illustrate the importance of detecting chattering phenomena because of their impact on the efficiency of numerical optimization procedures.
Cite
@article{arxiv.2206.13868,
title = {Chattering Phenomenon in Quantum Optimal Control},
author = {R. Robin and U. Boscain and M. Sigalotti and D. Sugny},
journal= {arXiv preprint arXiv:2206.13868},
year = {2023}
}
Comments
21 pages, 9 figures