{
  "annotation_id": "7ef56da9-89cc-40ba-9dce-c7224584533f",
  "date_created": "2026-03-02T18:01:42.414000Z",
  "date_modified": "2026-03-02T18:01:42.414000Z",
  "file_hash": "dbddc91f9f489e04e0fd76dcc240d8b7d001783af718a4c6551b0bd4dcc921ab",
  "private": false,
  "record": {
    "abstract": "We study a class of optical circuits with vacuum input states consisting of\nGaussian sources without coherent displacements such as down-converters and\nsqueezers, together with detectors and passive interferometry (beam-splitters,\npolarisation rotations, phase-shifters etc.). We show that the outgoing state\nleaving the optical circuit can be expressed in terms of so-called\nmulti-dimensional Hermite polynomials and give their recursion and\northogonality relations. We show how quantum teleportation of photon\npolarisation can be modelled using this description.",
    "arxiv_id": "quant-ph/0011114",
    "authors": [
      "Pieter Kok",
      "Samuel L Braunstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/31/312",
    "journal_ref": "J. Phys. A 34, 6185 (2001)",
    "title": "Multi-Dimensional Hermite Polynomials in Quantum Optics",
    "url": "https://arxiv.org/abs/quant-ph/0011114"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a51593e-741b-44b8-a5e3-008b8db46f82",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}