{
  "annotation_id": "0686308b-c18b-441c-af3a-0aa02c8f09dd",
  "date_created": "2026-03-02T18:02:27.465000Z",
  "date_modified": "2026-03-02T18:02:27.465000Z",
  "file_hash": "95d7b5614dfc06b8e589c2c3efe1bbb3d1570563fb858bccab4c99b8f8df05f1",
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  "record": {
    "abstract": "The method of constructing the tomographic probability distributions\ndescribing quantum states in parallel with density operators is presented.\nKnown examples of Husimi-Kano quasi-distribution and photon number tomography\nare reconsidered in the new setting. New tomographic schemes based on coherent\nstates and nonlinear coherent states of deformed oscillators, including\nq-oscillators, are suggested. The associated identity decompositions providing\nGram-Schmidt operators are explicitly given, and contact with the Agarwal-Wolf\n$\\Omega$-operator ordering theory is made.",
    "arxiv_id": "quant-ph/0604148",
    "authors": [
      "V. I. Man\u0027ko",
      "G. Marmo",
      "A. Simoni",
      "E. C. G. Sudarshan",
      "F. Ventriglia"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0034-4877(08)00016-5",
    "journal_ref": "Rept.Math.Phys.61:337-359,2008",
    "title": "A tomographic setting for quasi-distribution functions",
    "url": "https://arxiv.org/abs/quant-ph/0604148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "95935890-5655-478a-bfa6-8d4f1f7b40ea",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}