%0 Journal Article
%T Controllability of quantum mechanical systems by root space decomposition of su(N)
%A Claudio Altafini
%J Mathematics
%D 2001
%I arXiv
%R 10.1063/1.1467611
%X The controllability property of the unitary propagator of an N-level quantum mechanical system subject to a single control field is described using the structure theory of semisimple Lie algebras. Sufficient conditions are provided for the vector fields in a generic configuration as well as in a few degenerate cases.
%U http://arxiv.org/abs/quant-ph/0110147v1