{
  "annotation_id": "b647bc5f-083a-40f1-b765-4571118455d9",
  "date_created": "2026-03-02T18:02:47.595000Z",
  "date_modified": "2026-03-02T18:02:47.595000Z",
  "file_hash": "f5bc323c9e6fb6ecd2375a409474d1368861f56072492455199e73bb94d62ab4",
  "private": false,
  "record": {
    "abstract": "The state of an entangled q-bit pair is specified by 15 numerical parameters\nthat are naturally regarded as the components of two 3-vectors and a\n$3\\times3$-dyadic. There are easy-to-use criteria to check whether a given pair\nof 3-vectors plus a dyadic specify a 2-q-bit state; and if they do, whether the\nstate is entangled; and if it is, whether it is a separable state. Some\nprogress has been made in the search for analytical expressions for the degree\nof separability. We report, in particular, the answer in the case of vanishing\n3-vectors.",
    "arxiv_id": "quant-ph/9912089",
    "authors": [
      "Berthold-Georg Englert",
      "Nasser Metwally"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340008235144",
    "journal_ref": "Journal of Modern Optics, vol. 47, 2000, pp. 2221-2231",
    "title": "Separability of entangled q-bit pairs",
    "url": "https://arxiv.org/abs/quant-ph/9912089"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8b71d8ed-f6f8-4409-a96f-f95a028b9991",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}