dorsal/arxiv
View SchemaA Sharp Fannes-type Inequality for the von Neumann Entropy
| Authors | Koenraad M. R. Audenaert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610146 |
| URL | https://arxiv.org/abs/quant-ph/0610146 |
| DOI | 10.1088/1751-8113/40/28/S18 |
| Journal | J. Phys. A 40, 8127--8136 (2007). |
Abstract
We derive an inequality relating the entropy difference between two quantum states to their trace norm distance, sharpening a well-known inequality due to M. Fannes. In our inequality, equality can be attained for every prescribed value of the trace norm distance.
{
"annotation_id": "34b29926-b1d0-4ea1-9ae1-40c6774b4f02",
"date_created": "2026-03-02T18:02:30.853000Z",
"date_modified": "2026-03-02T18:02:30.853000Z",
"file_hash": "060ace1b89dea18f912177487066eea383547f6aa225ad6ef8ec32c8436590d6",
"private": false,
"record": {
"abstract": "We derive an inequality relating the entropy difference between two quantum\nstates to their trace norm distance, sharpening a well-known inequality due to\nM. Fannes. In our inequality, equality can be attained for every prescribed\nvalue of the trace norm distance.",
"arxiv_id": "quant-ph/0610146",
"authors": [
"Koenraad M. R. Audenaert"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/28/S18",
"journal_ref": "J. Phys. A 40, 8127--8136 (2007).",
"title": "A Sharp Fannes-type Inequality for the von Neumann Entropy",
"url": "https://arxiv.org/abs/quant-ph/0610146"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0d039c0d-8347-435e-96c0-e1a6c5330d96",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}