dorsal/arxiv
View SchemaAn Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses
| Authors | Hiroshi Nagaoka, Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206185 |
| URL | https://arxiv.org/abs/quant-ph/0206185 |
| DOI | 10.1109/TIT.2006.889463 |
| Journal | IEEE Transactions on Information Theory, vol.53, 534-549 (2007) |
Abstract
The information-spectrum analysis made by Han for classical hypothesis testing for simple hypotheses is extended to a unifying framework including both classical and quantum hypothesis testing as well as fixed-length source coding, whereby general formulas for several quantities concerning the asymptotic optimality of tests/codes are established in terms of classical and quantum information spectrum. Generality of theorems and simplicity of proofs are fully pursued, and as byproducts some improvements on the original classical results are also obtained.
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"abstract": "The information-spectrum analysis made by Han for classical hypothesis\ntesting for simple hypotheses is extended to a unifying framework including\nboth classical and quantum hypothesis testing as well as fixed-length source\ncoding, whereby general formulas for several quantities concerning the\nasymptotic optimality of tests/codes are established in terms of classical and\nquantum information spectrum. Generality of theorems and simplicity of proofs\nare fully pursued, and as byproducts some improvements on the original\nclassical results are also obtained.",
"arxiv_id": "quant-ph/0206185",
"authors": [
"Hiroshi Nagaoka",
"Masahito Hayashi"
],
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"quant-ph"
],
"doi": "10.1109/TIT.2006.889463",
"journal_ref": "IEEE Transactions on Information Theory, vol.53, 534-549 (2007)",
"title": "An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses",
"url": "https://arxiv.org/abs/quant-ph/0206185"
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