{
  "annotation_id": "d88257cc-1f3b-4277-8200-4c39496ea4c1",
  "date_created": "2026-03-02T18:02:13.751000Z",
  "date_modified": "2026-03-02T18:02:13.751000Z",
  "file_hash": "a3c16dda5a0b0c81eda5cb390ea47a9c18abdc3296a87761a272249d9311ce48",
  "private": false,
  "record": {
    "abstract": "A comparative study is performed on two heterodyne systems of photon\ndetectors expressed in terms of a signal annihilation operator and an image\nband creation operator called Shapiro-Wagner and Caves\u0027 frame, respectively.\nThis approach is based on the introduction of a convenient operator $\\hat \\psi$\nwhich allows a unified formulation of both cases. For the Shapiro-Wagner\nscheme, where $[\\hat \\psi, \\hat \\psi^{\\dag}] =0$, quantum phase and amplitude\nare exactly defined in the context of relative number state (RNS)\nrepresentation, while a procedure is devised to handle suitably and in a\nconsistent way Caves\u0027 framework, characterized by $[\\hat \\psi, \\hat\n\\psi^{\\dag}] \\neq 0$, within the approximate simultaneous measurements of\nnoncommuting variables. In such a case RNS phase and amplitude make sense only\napproximately.",
    "arxiv_id": "quant-ph/0502027",
    "authors": [
      "G. Landolfi",
      "G. Ruggeri",
      "G. Soliani"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217979205029833",
    "journal_ref": "International Journal of Modern Physics B, Vol. 19, No. 14 (2005)\n  2287-2310",
    "title": "Unified Treatment of Heterodyne Detection: the Shapiro-Wagner and Caves   Frameworks",
    "url": "https://arxiv.org/abs/quant-ph/0502027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0d0fd1c-5563-4292-86cc-701b4109ffb1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}