  Using the tool of quantum characteristic functions of n-mode states in the
boson Fock space {\Gamma}(C_n) we construct a semigroup of quantum information
channels. This leads to a special class of one-parameter semigroups of such
channels. These semigroups are concrete but their generators have unbounded
operator coefficients. These one-parameter semigroups are also quantum
dynamical semigroups and the form of the generators involve additional features
which do not appear in the standard GKSL form. A heuristic discussion of the
form of these generators is included. In the wake of this analysis many open
problems arise naturally.
