dorsal/arxiv
View SchemaA new approach to the Cramer-Rao type bound of the pure state model
| Authors | Keiji matsumoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9711008 |
| URL | https://arxiv.org/abs/quant-ph/9711008 |
| DOI | 10.1088/0305-4470/35/13/307 |
| Journal | J.Phys.A35:3111-3124,2002 |
Abstract
In this paper, new methodology -- direct approach -- for the determination of the attainable CR type bound of the pure state model, is proposed and successfully applied to the wide variety of pure state models, for example, the 2-dimensional arbitrary model, the coherent model with arbitrary dimension. When the weight matrix is $SLD$ Fisher information, the bound is determined for arbitrary pure state models. Manifestation of complex structure in the Cramer-Rao type bound is also discussed.
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"abstract": "In this paper, new methodology -- direct approach -- for the determination of\nthe attainable CR type bound of the pure state model, is proposed and\nsuccessfully applied to the wide variety of pure state models, for example, the\n2-dimensional arbitrary model, the coherent model with arbitrary dimension.\nWhen the weight matrix is $SLD$ Fisher information, the bound is determined for\narbitrary pure state models. Manifestation of complex structure in the\nCramer-Rao type bound is also discussed.",
"arxiv_id": "quant-ph/9711008",
"authors": [
"Keiji matsumoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/13/307",
"journal_ref": "J.Phys.A35:3111-3124,2002",
"title": "A new approach to the Cramer-Rao type bound of the pure state model",
"url": "https://arxiv.org/abs/quant-ph/9711008"
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