Bilinear Hamiltonian control system
= Bilinear Hamiltonian control system
{title2=$\dot U=-i(H_0+\sum_k u_kH_k)U$}
A finite-dimensional closed <quantum control> system with fixed drift and control <Hermitian matrices>, real <control inputs>, and dynamics linear in the state at fixed controls and affine in the controls at fixed state. Its <Dynamical Lie algebra> is generated over the reals by $iH_0,iH_1,\ldots$. Reachability depends on the admissible controls, allowed duration and phase convention.