Ergodic Classical-Quantum Channels: Structure and Coding Theorems

Igor Bjelakovic; Holger Boche

doi:10.1109/tit.2007.913232

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arXiv · quant-ph/0609229

Ergodic Classical-Quantum Channels: Structure and Coding Theorems

Igor Bjelakovic·Holger Boche

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Abstract

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.

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BibTeX RIS

Igor Bjelakovic, Holger Boche. 2009-02-16. Ergodic Classical-Quantum Channels: Structure and Coding Theorems. https://doi.org/10.1109/tit.2007.913232

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