dorsal/arxiv
View SchemaOptimal sequence of POVMs in the sense of Stein's lemma in quantum hypothesis testing
| Authors | Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107004 |
| URL | https://arxiv.org/abs/quant-ph/0107004 |
Abstract
In this paper, we give another proof of quantum Stein's lemma by calculating the information spectrum, and study an asymptotic optimal measurement in the sense of Stein's lemma. We propose a projection measurement characterized by the irreducible representation theory of the special linear group SL(H). Specially, in spin 1/2 system, it is realized by a simultaneous measurement of the total momentum and a momentum of a specified direction.
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"date_created": "2026-03-02T18:01:45.332000Z",
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"abstract": "In this paper, we give another proof of quantum Stein\u0027s lemma by calculating\nthe information spectrum, and study an asymptotic optimal measurement in the\nsense of Stein\u0027s lemma. We propose a projection measurement characterized by\nthe irreducible representation theory of the special linear group SL(H).\nSpecially, in spin 1/2 system, it is realized by a simultaneous measurement of\nthe total momentum and a momentum of a specified direction.",
"arxiv_id": "quant-ph/0107004",
"authors": [
"Masahito Hayashi"
],
"categories": [
"quant-ph"
],
"title": "Optimal sequence of POVMs in the sense of Stein\u0027s lemma in quantum hypothesis testing",
"url": "https://arxiv.org/abs/quant-ph/0107004"
},
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