  We study a class of quantum channels arising from the representation theory
of compact quantum groups that we call Temperley-Lieb quantum channels. These
channels simultaneously extend those introduced in [BC18], [AN14], and [LS14].
(Quantum) Symmetries in quantum information theory arise naturally from many
points of view, providing an important source of new examples of quantum
phenomena, and also serve as useful tools to simplify or solve important
problems. This work provides new applications of quantum symmetries in quantum
information theory. Among others, we study entropies and capacitites of
Temperley-Lieb channels, their (anti-)degradability, PPT and entanglement
breaking properties, as well as the behaviour of their tensor products with
respect to entangled inpurs. Finally we compare the Tempereley-Lieb channels
with the (modified) TRO-channels recently introduced in [GJL16].
