Capacity of Input-Memoryless Causal Ergodic Classical-Quantum Channels

In this contribution we describe some structural properties of ergodic classical-quantum channels and provide several equivalent conditions of ergodicity of such channels. In the second part we sketch the coding theorem with the weak converse for ergodic input-memoryless causal classical-quantum channels. Full proofs and several extensions of the results described here are contained in a accompanying paper.