Inner bounds via simultaneous decoding in quantum network information theory

We prove new inner bounds for several multiterminal channels with classical inputs and quantum outputs. Our are all proved in the one-shot setting natural analogues of best respective channels. For some these channels, similar were unknown even asymptotic independent identically distributed setting. our by appealing to a classical–quantum joint typicality lemma established companion paper. This allows us lift many bound proofs that use intersections unions typical sets.