{
  "annotation_id": "99d44372-b475-4bc1-8e9e-e48e029968f4",
  "date_created": "2026-03-02T18:02:03.113000Z",
  "date_modified": "2026-03-02T18:02:03.113000Z",
  "file_hash": "111ac111c4f324b321ad9183ae1f9ed3a4d599fb488aaa8970f2ffbde22fcc39",
  "private": false,
  "record": {
    "abstract": "The problem of entanglement produced by an arbitrary operator is formulated\nand a related measure of entanglement production is introduced. This measure of\nentanglement production satisfies all properties natural for such a\ncharacteristic. A particular case is the entanglement produced by a density\noperator or a density matrix. The suggested measure is valid for operations\nover pure states as well as over mixed states, for equilibrium as well as\nnonequilibrium processes. Systems of arbitrary nature can be treated, described\neither by field operators, spin operators, or any other kind of operators,\nwhich is realized by constructing generalized density matrices. The interplay\nbetween entanglement production and phase transitions in statistical systems is\nanalysed by the examples of Bose-Einstein condensation, superconducting\ntransition, and magnetic transitions. The relation between the measure of\nentanglement production and order indices is analysed.",
    "arxiv_id": "quant-ph/0309054",
    "authors": [
      "V. I. Yukalov"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevA.68.022109",
    "journal_ref": "Phys. Rev. A 68 (2003) 022109-14",
    "title": "Quantifying Entanglement Production of Quantum Operations",
    "url": "https://arxiv.org/abs/quant-ph/0309054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7639e788-903a-41d3-b42b-5d5869386aae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}