dorsal/arxiv
View SchemaUhlmann's parallelism in quantum estimation theory
| Authors | Keiji matsumoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9711027 |
| URL | https://arxiv.org/abs/quant-ph/9711027 |
Abstract
Two important classes of the quantum statistical model, the locally quasi-classical model and the quasi-classical model, are introduced from the estimation theoretical viewpoint, and they are characterized geometrically by the vanishing conditions of the relative phase factor (RPF), implying the close tie between Uhlmann parallel transport and the quantum estimation theory.
{
"annotation_id": "66f70897-d7fc-427d-844e-05f6acf4116a",
"date_created": "2026-03-02T18:02:41.419000Z",
"date_modified": "2026-03-02T18:02:41.419000Z",
"file_hash": "ef14c0988064d5c65cb2c12643cd9104bffac98e81885835863fc6e635203a2a",
"private": false,
"record": {
"abstract": "Two important classes of the quantum statistical model, the locally\nquasi-classical model and the quasi-classical model, are introduced from the\nestimation theoretical viewpoint, and they are characterized geometrically by\nthe vanishing conditions of the relative phase factor (RPF), implying the close\ntie between Uhlmann parallel transport and the quantum estimation theory.",
"arxiv_id": "quant-ph/9711027",
"authors": [
"Keiji matsumoto"
],
"categories": [
"quant-ph"
],
"title": "Uhlmann\u0027s parallelism in quantum estimation theory",
"url": "https://arxiv.org/abs/quant-ph/9711027"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "07304a08-1ded-4b08-a778-4583af47a83b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}