Physics – Quantum Physics
Scientific paper
2006-09-29
IEEE Transactions on Information Theory Vol. 54, No. 2, pp. 723-742, February 2008
Physics
Quantum Physics
19 pages, no figures. Final version
Scientific paper
We consider ergodic causal classical-quantum channels (cq-channels) which additionally have a decaying input memory. In the first part we develop some structural properties of ergodic cq-channels and provide equivalent conditions for ergodicity. In the second part we prove the coding theorem with weak converse for causal ergodic cq-channels with decaying input memory. Our proof is based on the possibility to introduce joint input-output state for the cq-channels and an application of the Shannon-McMillan theorem for ergodic quantum states. In the last part of the paper it is shown how this result implies coding theorem for the classical capacity of a class of causal ergodic quantum channels.
Bjelakovic Igor
Boche Holger
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