{
  "annotation_id": "8e9d6dab-bd79-4720-a282-8a3d43cf72d9",
  "date_created": "2026-03-02T18:01:37.957000Z",
  "date_modified": "2026-03-02T18:01:37.957000Z",
  "file_hash": "d95c179680924d7ed4d598314ee4c5275032f427301b35a8e989f3fac886f456",
  "private": false,
  "record": {
    "abstract": "In order to construct a measure of entanglement on the basis of a\n``distance\u0027\u0027 between two states, it is one of desirable properties that the\n``distance\u0027\u0027 is nonincreasing under every completely positive trace preserving\nmap. Contrary to a recent claim, this letter shows that the Hilbert-Schmidt\ndistance does not have this property.",
    "arxiv_id": "quant-ph/0002036",
    "authors": [
      "Masanao Ozawa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(00)00171-7",
    "journal_ref": "Phys. Lett. A 268 (2000) 158",
    "title": "Entanglement measures and the Hilbert-Schmidt distance",
    "url": "https://arxiv.org/abs/quant-ph/0002036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "48c056f5-d20c-4f8e-a8dc-802e98b1b5a2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}