{
  "annotation_id": "ed90e1b6-4c43-469a-9a31-4578a507a483",
  "date_created": "2026-03-02T18:02:30.812000Z",
  "date_modified": "2026-03-02T18:02:30.812000Z",
  "file_hash": "7a4d66c0f67eacbaed45be6f4cf1b99d5d63a15c947eafa039ba54844ec1c70a",
  "private": false,
  "record": {
    "abstract": "The pairwise entanglement and local polarization of the ground state are\ndiscussed by studying the Heisenberg XX model in finite qubit case. The results\nshow that: the ground state is composed by the micro state with the minimal\ntotal spin 0 (for even qubit) or 1/2 (for odd qubit), local polarization (LP)\nhas intimate relation with the probability of the micro state in the ground\nstate, the stronger the LP the smaller the probability, the same LP\ncorresponding to the same probability; the pairwise entanglement of the ground\nstate is the biggest in all the eigenvectors. We find when the qubit is small,\nthe degenerate of state will decrease the pairwise entanglement, there has\ngreat different between the odd and the even qubit chain; when the qubit number\nis big, the effect of qubit number to the pairwise entanglement will disappear,\nthe limited value will be round about 0.3424.",
    "arxiv_id": "quant-ph/0609140",
    "authors": [
      "Xiao-Qiang Xi",
      "R. H. Yue",
      "W. M. Liu"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Pairwise Entanglement and Local Polarization of Heisenberg Model",
    "url": "https://arxiv.org/abs/quant-ph/0609140"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4ac19812-964b-484a-8e29-bb05908fd69f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}