dorsal/arxiv
View SchemaGeometrical Statistics--Classical and Quantum
| Authors | Ingemar Bengtsson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509017 |
| URL | https://arxiv.org/abs/quant-ph/0509017 |
| DOI | 10.1063/1.2158711 |
Abstract
This is a review of the ideas behind the Fisher--Rao metric on classical probability distributions, and how they generalize to metrics on density matrices. As is well known, the unique Fisher--Rao metric then becomes a large family of monotone metrics. Finally I focus on the Bures--Uhlmann metric, and discuss a recent result that connects the geometric operator mean to a geodesic billiard on the set of density matrices.
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"abstract": "This is a review of the ideas behind the Fisher--Rao metric on classical\nprobability distributions, and how they generalize to metrics on density\nmatrices. As is well known, the unique Fisher--Rao metric then becomes a large\nfamily of monotone metrics. Finally I focus on the Bures--Uhlmann metric, and\ndiscuss a recent result that connects the geometric operator mean to a geodesic\nbilliard on the set of density matrices.",
"arxiv_id": "quant-ph/0509017",
"authors": [
"Ingemar Bengtsson"
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"doi": "10.1063/1.2158711",
"title": "Geometrical Statistics--Classical and Quantum",
"url": "https://arxiv.org/abs/quant-ph/0509017"
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