{
  "annotation_id": "2912fc33-e783-434e-9fa4-d25d1bc4bcf0",
  "date_created": "2026-03-02T18:02:27.568000Z",
  "date_modified": "2026-03-02T18:02:27.568000Z",
  "file_hash": "aef6ffef1721a1df95543ee533538cf133d3fe12680b4b19f86201060c8f17b8",
  "private": false,
  "record": {
    "abstract": "The concepts of concurrence and mode concurrence are the measures of\nentanglement for spin-1/2 and spinless fermion systems respectively. Based on\nthe Jordan-Wigner transformation, any spin-1/2 system is always associated with\na fermion system (called counterpart system). The comparison of concurrence and\nmode concurrence can be made with the aid of the Marshall\u0027s sign rule for the\nground states of spin-1/2 $XXZ$ and spinless fermion chain systems. We observe\nthat there exists an inequality between concurrence and mode concurrence for\nthe ground states of the two corresponding systems. The spin-1/2 XY chain\nsystem and its spinless fermion counterpart as a realistic example is discussed\nto demonstrate the analytical results.",
    "arxiv_id": "quant-ph/0604108",
    "authors": [
      "Xiao-Feng Qian",
      "Z. Song"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.022302",
    "journal_ref": "Phys. Rev. A 74, 022302 (2006)",
    "title": "Relation between two measures of entanglement in spin-1/2 and spinless   fermion quantum chain systems",
    "url": "https://arxiv.org/abs/quant-ph/0604108"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fd0c58c3-c95e-43a9-b66b-d23e0bdb32e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}