{
  "annotation_id": "df5bc3c7-46c4-435e-92ac-66c15751e0fb",
  "date_created": "2026-03-02T18:02:27.171000Z",
  "date_modified": "2026-03-02T18:02:27.171000Z",
  "file_hash": "1f135de7a5e17a19dd64f9a6cc39b39b3d3522baabdee3de707b57f45b994ce9",
  "private": false,
  "record": {
    "abstract": "Employing a recently proposed separability criterion we develop analytical\nlower bounds for the concurrence and for the entanglement of formation of\nbipartite quantum systems. The separability criterion is based on a\nnondecomposable positive map which operates on state spaces with even dimension\nN \u003e= 4, and leads to a class of nondecomposable optimal entanglement witnesses.\nIt is shown that the bounds derived here complement and improve the existing\nbounds obtained from the criterion of positive partial transposition and from\nthe realignment criterion.",
    "arxiv_id": "quant-ph/0606185",
    "authors": [
      "Heinz-Peter Breuer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/38/010",
    "journal_ref": "J. Phys. A: Math. Gen. 39, 11847 (2006)",
    "title": "Separability criteria and bounds for entanglement measures",
    "url": "https://arxiv.org/abs/quant-ph/0606185"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f22e364d-d7d7-45c0-aa5b-ded908166553",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}