{
  "annotation_id": "cf214588-f0c5-47c8-8b1a-c4d22056cf53",
  "date_created": "2026-03-02T18:02:13.339000Z",
  "date_modified": "2026-03-02T18:02:13.339000Z",
  "file_hash": "90886ec49cfbb306b83c360f1baf20c16d466ff0ed7b9e14e622206d801ad6ec",
  "private": false,
  "record": {
    "abstract": "The theory of operator integrals is used to determine the moment operators of\nthe Cartesian margins of the phase space observables generated by the mixtures\nof the number states. The moments of the $x$-margin are polynomials of the\nposition operator and those of the $y$-margin are polynomials of the momentum\noperator.",
    "arxiv_id": "quant-ph/0412093",
    "authors": [
      "J. Kiukas",
      "P. Lahti",
      "K. Ylinen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1851957",
    "journal_ref": "J. Math. Phys. 46, 042107 (2005)",
    "title": "Moment operators of the Cartesian margins of the phase space observables",
    "url": "https://arxiv.org/abs/quant-ph/0412093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "72d5ab4d-af16-44cb-bf1c-4f50ba675a99",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}