  We derive universal codes for transmission of broadcast and confidential
messages over classical-quantum-quantum and fully quantum channels. These codes
are robust to channel uncertainties considered in the compound model. To
construct these codes we generalize random codes for transmission of public
messages, to derive a universal superposition coding for the compound quantum
broadcast channel. As an application, we give a multi-letter characterization
of regions corresponding to the capacity of the compound quantum broadcast
channel for transmitting broadcast and confidential messages simultaneously.
This is done for two types of broadcast messages, one called public and the
other common.
