{
  "annotation_id": "ffd7cda9-3736-48b2-acdb-89fa22e61828",
  "date_created": "2026-03-02T18:02:10.331000Z",
  "date_modified": "2026-03-02T18:02:10.331000Z",
  "file_hash": "6ee98982897d505205cfac31a05050fbc222d8377bae27a1722e02981f2de276",
  "private": false,
  "record": {
    "abstract": "By using the abstract linear-optical network derived in [S. Scheel and N.\nL\\\"utkenhaus, New J. Phys. \\textbf{6}, 51 (2004)] we show that for the lowest\npossible ancilla photon numbers the probability of success of realizing a\n(single-shot) generalized nonlinear sign shift gate on an ($N+1$)-dimensional\nsignal state scales as $1/N^2$. We limit ourselves to single-shot gates without\nconditional feed-forward. We derive our results by using determinants of\nVandermonde-type over a polynomial basis which is closely related to the\nwell-known Jacobi polynomials.",
    "arxiv_id": "quant-ph/0410014",
    "authors": [
      "Stefan Scheel",
      "Koenraad M. R. Audenaert"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1367-2630/7/1/149",
    "journal_ref": "New J. Phys. 7, 149 (2005)",
    "title": "Scaling of success probabilities for linear optics gates",
    "url": "https://arxiv.org/abs/quant-ph/0410014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "61b70639-c4a7-4208-9ace-239de1bce1a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}