  We use a natural generalization of the discrete Fourier transform to define
transition maps between Hilbert subspaces and the global transport operator
$Z$. By using these transition maps as Kraus (or noise) operators, an extension
of the quantum energy transport model of 10.1142/S0219025718500182 describing
the dynamics of an open quantum system of $N$-levels is presented. We deduce
the structure of the invariant states which can be recovered by transporting
states supported on the first level.
