{
  "annotation_id": "0611f13f-fdfd-495d-8184-2ff196470b87",
  "date_created": "2026-03-02T18:01:42.247000Z",
  "date_modified": "2026-03-02T18:01:42.247000Z",
  "file_hash": "1f69a3c29429d7b9ee5ea89a8aa981922aef400f87d07bbe5e9dd31b7a186c5a",
  "private": false,
  "record": {
    "abstract": "We characterize and classify quantum correlations in two-fermion systems\nhaving 2K single-particle states. For pure states we introduce the Slater\ndecomposition and rank (in analogy to Schmidt decomposition and rank), i.e. we\ndecompose the state into a combination of elementary Slater determinants formed\nby mutually orthogonal single-particle states. Mixed states can be\ncharacterized by their Slater number which is the minimal Slater rank required\nto generate them. For K=2 we give a necessary and sufficient condition for a\nstate to have a Slater number of 1. We introduce a correlation measure for\nmixed states which can be evaluated analytically for K=2. For higher K, we\nprovide a method of constructing and optimizing Slater number witnesses, i.e.\noperators that detect Slater number for some states.",
    "arxiv_id": "quant-ph/0012094",
    "authors": [
      "John Schliemann",
      "J. Ignacio Cirac",
      "Marek Kus",
      "Maciej Lewenstein",
      "Daniel Loss"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1103/PhysRevA.64.022303",
    "journal_ref": "Phys. Rev. A, 64, 022303 (2001)",
    "title": "Quantum Correlations in Two-Fermion Systems",
    "url": "https://arxiv.org/abs/quant-ph/0012094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "442cf102-4c4f-4554-94ac-951e82dbad85",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}