dorsal/arxiv
View SchemaTwo quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation
| Authors | Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202003 |
| URL | https://arxiv.org/abs/quant-ph/0202003 |
| DOI | 10.1088/0305-4470/35/36/302 |
| Journal | # Journal of Physics A: Mathematical and General, Vol 35, No.36, pp.7689-7727 (2002). |
Abstract
We discuss two quantum analogues of Fisher information, symmetric logarithmic derivative (SLD) Fisher information and Kubo-Mori-Bogoljubov (KMB) Fisher information from a large deviation viewpoint of quantum estimation and prove that the former gives the true bound and the latter gives the bound of consistent superefficient estimators. In another comparison, it is shown that the difference between them is characterized by the change of the order of limits.
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"abstract": "We discuss two quantum analogues of Fisher information, symmetric logarithmic\nderivative (SLD) Fisher information and Kubo-Mori-Bogoljubov (KMB) Fisher\ninformation from a large deviation viewpoint of quantum estimation and prove\nthat the former gives the true bound and the latter gives the bound of\nconsistent superefficient estimators. In another comparison, it is shown that\nthe difference between them is characterized by the change of the order of\nlimits.",
"arxiv_id": "quant-ph/0202003",
"authors": [
"Masahito Hayashi"
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"quant-ph"
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"doi": "10.1088/0305-4470/35/36/302",
"journal_ref": "# Journal of Physics A: Mathematical and General, Vol 35, No.36,\n pp.7689-7727 (2002).",
"title": "Two quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation",
"url": "https://arxiv.org/abs/quant-ph/0202003"
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