Twisted convolution quantum information channels, one-parameter semigroups and their generators

This is the authors' abstract. We don't add key points for this paper.

Using the tool of quantum characteristic functions of [Formula: see text]-mode states in the boson Fock space [Formula: see text] 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 involves additional features which do not appear in the standard Gorini-Kossakawski-Sudarshan-Lindbald (GKSL) form. A heuristic discussion of the form of these generators is included. In the wake of this analysis many open problems arise naturally.