dorsal/arxiv
View SchemaErgodic Classical-Quantum Channels: Structure and Coding Theorems
| Authors | Igor Bjelakovic, Holger Boche |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609229 |
| URL | https://arxiv.org/abs/quant-ph/0609229 |
| DOI | 10.1109/TIT.2007.913232 |
| Journal | IEEE Transactions on Information Theory Vol. 54, No. 2, pp. 723-742, February 2008 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
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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"abstract": "We consider ergodic causal classical-quantum channels (cq-channels) which\nadditionally have a decaying input memory. In the first part we develop some\nstructural properties of ergodic cq-channels and provide equivalent conditions\nfor ergodicity. In the second part we prove the coding theorem with weak\nconverse for causal ergodic cq-channels with decaying input memory. Our proof\nis based on the possibility to introduce joint input-output state for the\ncq-channels and an application of the Shannon-McMillan theorem for ergodic\nquantum states. In the last part of the paper it is shown how this result\nimplies coding theorem for the classical capacity of a class of causal ergodic\nquantum channels.",
"arxiv_id": "quant-ph/0609229",
"authors": [
"Igor Bjelakovic",
"Holger Boche"
],
"categories": [
"quant-ph",
"cs.IT",
"math-ph",
"math.IT",
"math.MP"
],
"doi": "10.1109/TIT.2007.913232",
"journal_ref": "IEEE Transactions on Information Theory Vol. 54, No. 2, pp.\n 723-742, February 2008",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Ergodic Classical-Quantum Channels: Structure and Coding Theorems",
"url": "https://arxiv.org/abs/quant-ph/0609229"
},
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