{
  "annotation_id": "ce5f2eaa-68e4-445f-b482-2a3c2cbd330a",
  "date_created": "2026-03-02T18:01:45.396000Z",
  "date_modified": "2026-03-02T18:01:45.396000Z",
  "file_hash": "5ce36cd3bbdada36e7eb0b8866605fa5f02107a884f0b2d5703dff6e3a945374",
  "private": false,
  "record": {
    "abstract": "Covariant phase observables are obtained by defining simple conditions for\nmappings from the set of phase wave functions (unit vectors of the Hardy space)\nto the set of phase probability densities. The existence of phase probability\ndensity for any phase wave function, the existence of interference effects, and\nthe natural phase shift covariance are those simple conditions. The\nnonlocalizability of covariant phase observables is proved.",
    "arxiv_id": "quant-ph/0109026",
    "authors": [
      "Juha-Pekka Pellonpaa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340308234564",
    "journal_ref": "J. Mod. Opt. 50 (2003) 2127-2131",
    "title": "The phase representation of covariant phase observables",
    "url": "https://arxiv.org/abs/quant-ph/0109026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c49966a6-da8d-49d1-b876-b3c7d7565153",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}