Abstract-We determine the capacity of compound classical-quantum channels. As a consequence, we obtain the capacity formula for the averaged classical-quantum channels. The capacity result for compound channels demonstrates, as in the classical setting, the existence of reliable universal classical-quantum codes in scenarios where the only a priori information about the channel used for the transmission of information is that it belongs to a given set of memoryless classical-quantum channels. Our approach is based on a universal classical approximation of the quantum relative entropy which in turn relies on a universal hypothesis testing result. Index Terms-Averaged quantum channels, capacity, coding theorem, compound quantum channels, universal quantum codes.
To proof the coding theorem for the entanglement assisted classical capacities of compound channels, we use capacity achieving codes for certain compound classical-quantum channels from REF .
Classical Capacities of Compound and Averaged Quantum Channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Computer Science Mathematics Physics