TL;DR
This paper reviews the development of quantum identification theory, highlighting multiple concepts and capacities, and discusses open problems in the field of quantum information transmission.
Contribution
It provides a conceptual overview of quantum identification via channels, emphasizing different quantizations and capacities, and identifies open research questions.
Findings
Multiple quantum identification concepts exist
Several capacities for quantum identification are known
Open problems remain in quantum identification theory
Abstract
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.
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