  We review the development of the quantum version of Ahlswede and Dueck's
theory of identification via channels. As is often the case in quantum
probability, there is not just one but several quantizations: we know at least
two different concepts of identification of classical information via quantum
channels, and three different identification capacities for quantum
information. In the present summary overview we concentrate on conceptual
points and open problems, referring the reader to the small set of original
articles for details.
