We propose an analysis of the time-optimal control of SU(2) quantum operations. By using the Pontryagin Maximum Principle, we show how to determine the optimal trajectory reaching a given target state. Explicit analytical solutions are given for two specific examples. We discuss the role of the detuning in the construction of the optimal synthesis.
@article{arxiv.1310.5226,
title = {Time-optimal control of SU(2) quantum operations},
author = {A. Garon and S. J. Glaser and D. Sugny},
journal= {arXiv preprint arXiv:1310.5226},
year = {2015}
}