Classical Capacities of Averaged and Compound Quantum Channels
arXiv:0710.3027
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 the universal classical approximation of the quantum relative entropy which in turn relies on the universal hypothesis testing results.
15 pages, no figures. Typos corrected. Remarks and suggestions of the referees incorporated. Submitted to IEEE Transactions on Information Theory
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