{
  "annotation_id": "44dfc483-7acc-4003-b95a-67078386883a",
  "date_created": "2026-03-02T18:02:23.949000Z",
  "date_modified": "2026-03-02T18:02:23.949000Z",
  "file_hash": "b0a9ad79c9ef90bd880ccee8c84aa24a93d99f82cc449b74b8583e22cb06413a",
  "private": false,
  "record": {
    "abstract": "We consider the problem of measurement of optical transverse profile\nparameters and their conjugate variable. Using multi-mode analysis, we\nintroduce the concept of detection noise-modes. For Gaussian beams,\ndisplacement and tilt are a pair of transverse profile conjugate variables. We\nexperimentally demonstrate their optimal encoding and detection with a spatial\nhomodyning scheme. Using higher order spatial mode squeezing, we show the\nsub-shot noise measurements for the displacement and tilt of a Gaussian beam.",
    "arxiv_id": "quant-ph/0512151",
    "authors": [
      "Vincent Delaubert",
      "Nicolas Treps",
      "Charles C. Harb",
      "Ping Koy Lam",
      "Hans A. Bachor"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1364/OL.31.001537",
    "journal_ref": "Optics Letters 31 (2006) 1537",
    "title": "Quantum measurements of spatial conjugate variables: Displacement and   tilt of a Gaussian beam",
    "url": "https://arxiv.org/abs/quant-ph/0512151"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6c764e0-88c8-4fd2-9a37-a582d8d5dc3c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}