{
  "annotation_id": "738d5b2c-7b57-47b2-b1cc-4f21ee747224",
  "date_created": "2026-03-02T18:01:59.047000Z",
  "date_modified": "2026-03-02T18:01:59.047000Z",
  "file_hash": "e45393196f3c08fe92379f755a0fc3ea0e4ba4be1491f2a7484e6dffec8d282e",
  "private": false,
  "record": {
    "abstract": "We find that a class of entanglement measures for bipartite pure state can be\nexpressed by the average values of quantum operators, which are related to any\ncomplete basis of one partite operator space. Two specific examples are given\nbased on two different ways to generalize Pauli matrices to $d$ dimensional\nHilbert space and the case for identical particle system is also considered. In\naddition, applying our measure to mixed state case will give a sufficient\ncondition for entanglement.",
    "arxiv_id": "quant-ph/0306163",
    "authors": [
      "Z. Xu",
      "B. Zeng",
      "D. L. Zhou"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Operator representations for a class of quantum entanglement measures   and criterions",
    "url": "https://arxiv.org/abs/quant-ph/0306163"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "da99e90e-34c4-42cc-b8ac-b5096911351c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}