{
  "annotation_id": "8225f279-395a-41eb-85be-a6f4d5b84858",
  "date_created": "2026-03-02T18:02:06.394000Z",
  "date_modified": "2026-03-02T18:02:06.394000Z",
  "file_hash": "23db87e8b58b940f4f6c7d1cf4ca8ed9ff304a48ae71a2450a6da7def94aa236",
  "private": false,
  "record": {
    "abstract": "The problem of the choice of tensor product decomposition in a system of two\nfermions with the help of Bogoliubov transformations of creation and\nannihilation operators is discussed. The set of physical states of the\ncomposite system is restricted by the superselection rule forbidding the\nsuperposition of fermions and bosons. It is shown that the Wootters concurrence\nis not proper entanglement measure in this case. The explicit formula for the\nentanglement of formation is found and its dependence on tensor product\ndecompositions of the Hilbert space is discussed. It is shown that the set of\nseparable states is narrower than in two-qubit case. Moreover, there exist\nstates which are separable with respect to all tensor product decompositions of\nthe Hilbert space.",
    "arxiv_id": "quant-ph/0405108",
    "authors": [
      "Pawel Caban",
      "Krzysztof Podlaski",
      "Jakub Rembielinski",
      "Kordian A. Smolinski",
      "Zbigniew Walczak"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/6/L02",
    "journal_ref": "J.Phys.A38:L79-L86,2005",
    "title": "Entanglement and Tensor Product Decomposition for Two Fermions",
    "url": "https://arxiv.org/abs/quant-ph/0405108"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "59659cef-9c54-4be6-bea2-d2dbf26a6f2a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}