{
  "annotation_id": "1bacc7c7-d314-444b-91d2-277b54d0dd2f",
  "date_created": "2026-02-17T05:53:24.381000Z",
  "date_modified": "2026-02-17T05:53:24.381000Z",
  "file_hash": "1807fa24be199d16e2a86ef359d46ee158e37fb0649a9caefe39ab3f17cfde4c",
  "private": false,
  "record": {
    "abstract": "Pinsker\u0027s inequality sets a lower bound on the Umegaki divergence of two quantum states in terms of their trace distance. In this work, we formulate corresponding estimates for a variety of quantum and classical divergences including $f$-divergences like Hellinger and $\\chi^2$-divergences as well as R\\\u0027enyi divergences and special cases thereof like the Umegaki divergence, collision divergence, max divergence. We further provide a strategy on how to adapt these bounds to smoothed divergences.",
    "arxiv_id": "2601.10395",
    "authors": [
      "Kl\u00e4re Wienecke",
      "Gereon Ko\u00dfmann",
      "Ren\u00e9 Schwonnek"
    ],
    "categories": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A Collection of Pinsker-type Inequalities for Quantum Divergences",
    "url": "https://arxiv.org/abs/2601.10395",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb999b7b-4666-4227-a10f-6ce22e0a73b8",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}