{
  "annotation_id": "03502b5a-a084-4811-8cf8-5ead44bb358e",
  "date_created": "2026-03-02T18:01:49.266000Z",
  "date_modified": "2026-03-02T18:01:49.266000Z",
  "file_hash": "0fc7fc4f6e85b493d25bda7514b0a1c358fc0fe5bd66e298f10f511e900289d9",
  "private": false,
  "record": {
    "abstract": "We discuss conditional Renyi and Tsallis entropies for bipartite quantum\nsystems of finite dimension. We investigate the relation between the positivity\nof conditional entropies and entanglement properties. It is in particular shown\nthat any state having a negative conditional entropy with respect to any value\nof the entropic parameter is distillable since it violates the reduction\ncriterion. Moreover we show that the entanglement of Werner states in odd\ndimensions can neither be detected by entropic criteria nor by any other\nspectral criterion.",
    "arxiv_id": "quant-ph/0202058",
    "authors": [
      "Karl Gerd H. Vollbrecht",
      "Michael M. Wolf"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1498490",
    "title": "Conditional entropies and their relation to entanglement criteria",
    "url": "https://arxiv.org/abs/quant-ph/0202058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "59fa4f83-961f-4f49-a3f1-d1c0fd035aa1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}