dorsal/arxiv
View SchemaReliability function of general classical-quantum channel
| Authors | A. S. Holevo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907087 |
| URL | https://arxiv.org/abs/quant-ph/9907087 |
| DOI | 10.1109/18.868501 |
Abstract
In information theory the reliability function and its bounds, describing the exponential behavior of the error probability, are the most important quantitative characteristics of the channel performance. From a general point of view, these bounds provide certain measures of distinguishability of a given set of states. In an earlier paper we introduced quantum analogs of the random coding and the expurgation lower bounds for the case of pure signal states. Here we discuss the general case, in particular, we prove the previously conjectured expurgation bound and find the quantum cutoff rate in the case of arbitrary mixed signal states.
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"abstract": "In information theory the reliability function and its bounds, describing the\nexponential behavior of the error probability, are the most important\nquantitative characteristics of the channel performance. From a general point\nof view, these bounds provide certain measures of distinguishability of a given\nset of states. In an earlier paper we introduced quantum analogs of the random\ncoding and the expurgation lower bounds for the case of pure signal states.\nHere we discuss the general case, in particular, we prove the previously\nconjectured expurgation bound and find the quantum cutoff rate in the case of\narbitrary mixed signal states.",
"arxiv_id": "quant-ph/9907087",
"authors": [
"A. S. Holevo"
],
"categories": [
"quant-ph"
],
"doi": "10.1109/18.868501",
"title": "Reliability function of general classical-quantum channel",
"url": "https://arxiv.org/abs/quant-ph/9907087"
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