{
  "annotation_id": "50382634-a8fc-4fb8-8ea9-7350a72190e7",
  "date_created": "2026-03-02T18:02:10.010000Z",
  "date_modified": "2026-03-02T18:02:10.010000Z",
  "file_hash": "be4b9a91c041105cc2d3943d2ba9043772cbe290c15947825a7be46632ece78d",
  "private": false,
  "record": {
    "abstract": "We show that the transfer of the angular spectrum of the pump beam to the\ntwo-photon state in spontaneous parametric down-conversion enables the\ngeneration of entangled Hermite-Gaussian modes. We derive an analytical\nexpression for the two-photon state in terms of these modes and show that there\nare restrictions on both the parity and order of the down-converted\nHermite-Gaussian fields. Using these results, we show that the two-photon state\nis indeed entangled in Hermite-Gaussian modes. We propose experimental methods\nof creating maximally-entangled Bell states and non-maximally entangled pure\nstates of first order Hermite-Gaussian modes.",
    "arxiv_id": "quant-ph/0407216",
    "authors": [
      "S. P. Walborn",
      "S. P\u00e1dua",
      "C. H. Monken"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.053812",
    "title": "Conservation and entanglement of Hermite-Gaussian modes in parametric   down-conversion",
    "url": "https://arxiv.org/abs/quant-ph/0407216"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2d8e41c5-66bb-4838-9528-46b99a48c22e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}