dorsal/arxiv
View SchemaAsymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint
| Authors | Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9704040 |
| URL | https://arxiv.org/abs/quant-ph/9704040 |
| DOI | 10.1088/0305-4470/34/16/309 |
| Journal | J.Phys.A34:3413-3419,2001 |
Abstract
In this paper it was proved that the quantum relative entropy $D(\sigma \| \rho)$ can be asymptotically attained by Kullback Leibler divergences of probabilities given by a certain sequence of POVMs. The sequence of POVMs depends on $\rho$, but is independent of the choice of $\sigma$.
{
"annotation_id": "6d8fb939-7ce5-4f32-8081-9775df2233bb",
"date_created": "2026-03-02T18:02:40.785000Z",
"date_modified": "2026-03-02T18:02:40.785000Z",
"file_hash": "8c55722472e17365da91ace0e8a7070bd31c2f54f45a6838358f950c333356c2",
"private": false,
"record": {
"abstract": "In this paper it was proved that the quantum relative entropy $D(\\sigma \\|\n\\rho)$ can be asymptotically attained by Kullback Leibler divergences of\nprobabilities given by a certain sequence of POVMs. The sequence of POVMs\ndepends on $\\rho$, but is independent of the choice of $\\sigma$.",
"arxiv_id": "quant-ph/9704040",
"authors": [
"Masahito Hayashi"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/16/309",
"journal_ref": "J.Phys.A34:3413-3419,2001",
"title": "Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint",
"url": "https://arxiv.org/abs/quant-ph/9704040"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "cd74d867-9c94-4619-ac2c-00c11addaff1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}