{
  "annotation_id": "cc4ad69b-1b8a-4035-a2ab-2d231af0444b",
  "date_created": "2026-03-02T18:01:48.931000Z",
  "date_modified": "2026-03-02T18:01:48.931000Z",
  "file_hash": "f18ab409695cc675fa210111f0ff1fc8f33132767583fd1c3acf6b4505db939b",
  "private": false,
  "record": {
    "abstract": "We define the concurrence hierarchy as d-1 independent invariants under local\nunitary transformations in d-level quantum system. The first one is the\noriginal concurrence defined by Wootters et al in 2-level quantum system and\ngeneralized to d-level pure quantum states case. We propose to use this\nconcurrence hierarchy as measurement of entanglement. This measurement does not\nincrease under local quantum operations and classical communication.",
    "arxiv_id": "quant-ph/0204041",
    "authors": [
      "Heng Fan",
      "Keiji Matsumoto",
      "Hiroshi Imai"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/14/316",
    "journal_ref": "J.Phys.A:Math.Gen.36(2003)4151-4158.",
    "title": "Quantify entanglement by concurrence hierarchy",
    "url": "https://arxiv.org/abs/quant-ph/0204041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8b02ff87-47d2-44f2-9cb3-c23b381cf38e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}