{
  "annotation_id": "4ed8959d-2d8e-4a12-a332-ddac999f9a48",
  "date_created": "2026-03-02T18:02:03.543000Z",
  "date_modified": "2026-03-02T18:02:03.543000Z",
  "file_hash": "ff4b3d30b0eb74abcc10dc599a2b77b41054cbd8131345c134469b61e33a1c25",
  "private": false,
  "record": {
    "abstract": "We investigate the scaling of the phase sensitivity of a nonideal\nHeisenberg-limited interferometer with the particle number N, in the case of\nthe Bayesian detection procedure proposed by Holland and Burnett [p.r.l. 71, p.\n1355 (1993)] for twin boson input modes. Using Monte Carlo simulations for up\nto 10,000 bosons, we show that the phase error of a nonideal interferometer\nscales with the Heisenberg limit if the losses are of the order of N^-1.\nGreater losses degrade the scaling which is then in N^-1/2, like the shot-noise\nlimit, yet the sensitivity stays sub-shot-noise as long as photon correlations\nare present. These results give the actual limits of Bayesian detection for\ntwin-mode interferometry and prove that it is an experimentally feasible\nscheme, contrary to what is implied by the coincidence-detection analysis of\nKim et al. [p.r.a. 60, p. 708 (1999)].",
    "arxiv_id": "quant-ph/0312114",
    "authors": [
      "Raphael Pooser",
      "Olivier Pfister"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.043616",
    "journal_ref": "Phys. Rev. A 69, 043616 (2004)",
    "title": "Particle-number scaling of the phase sensitivity in realistic Bayesian   twin-mode Heisenberg-limited interferometry",
    "url": "https://arxiv.org/abs/quant-ph/0312114"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6afc727d-2f42-4da6-85b5-48a9c104ca91",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}