{
  "annotation_id": "2a2d0c09-3bef-4444-9697-78ab21489066",
  "date_created": "2026-03-02T18:02:41.485000Z",
  "date_modified": "2026-03-02T18:02:41.485000Z",
  "file_hash": "04e263680999d92f6b45ae667eb63358320a783fdc00b937d2df2150b377be3d",
  "private": false,
  "record": {
    "abstract": "The entanglement of a pure state of a pair of quantum systems is defined as\nthe entropy of either member of the pair. The entanglement of formation of a\nmixed state is defined as the minimum average entanglement of an ensemble of\npure states that represents the given mixed state. An earlier paper [Phys. Rev.\nLett. 78, 5022 (1997)] conjectured an explicit formula for the entanglement of\nformation of a pair of binary quantum objects (qubits) as a function of their\ndensity matrix, and proved the formula to be true for a special class of mixed\nstates. The present paper extends the proof to arbitrary states of this system\nand shows how to construct entanglement-minimizing pure-state decompositions.",
    "arxiv_id": "quant-ph/9709029",
    "authors": [
      "William K. Wootters"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.80.2245",
    "journal_ref": "Phys.Rev.Lett.80:2245-2248,1998",
    "title": "Entanglement of Formation of an Arbitrary State of Two Qubits",
    "url": "https://arxiv.org/abs/quant-ph/9709029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5a64c3b0-f307-4f7d-a682-a56cb16eb1bf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}