Classical Capacities of Averaged and Compound Quantum Channels
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.
Cite
@article{arxiv.0710.3027,
title = {Classical Capacities of Averaged and Compound Quantum Channels},
author = {Igor Bjelakovic and Holger Boche},
journal= {arXiv preprint arXiv:0710.3027},
year = {2009}
}
Comments
15 pages, no figures. Typos corrected. Remarks and suggestions of the referees incorporated. Submitted to IEEE Transactions on Information Theory