Ergodic classical-quantum channels: Structure and coding theorems

Igor Bjelakovic, Holger Boche

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In this 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 a 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 a coding theorem for the classical capacity of a class of causal ergodic quantum channels.

Original languageEnglish
Pages (from-to)723-742
Number of pages20
JournalIEEE Transactions on Information Theory
Issue number2
StatePublished - Feb 2008
Externally publishedYes


  • Classical-quantum channels
  • Coding theorems
  • Ergodic quantum channels


Dive into the research topics of 'Ergodic classical-quantum channels: Structure and coding theorems'. Together they form a unique fingerprint.

Cite this