A universal gap for non-spin quantum control systems
Optimization and Control
2020-06-19 v3 Mathematical Physics
math.MP
Abstract
We prove the existence of a universal gap for minimum time controllability of finite dimensional quantum systems, except for some basic representations of spin groups. This is equivalent to the existence of a gap in the diameter of orbit spaces of the corresponding compact connected Lie group unitary actions on the Hermitian spheres.
Cite
@article{arxiv.1812.06086,
title = {A universal gap for non-spin quantum control systems},
author = {Jean-Paul Gauthier and Francesco Rossi},
journal= {arXiv preprint arXiv:1812.06086},
year = {2020}
}