{
  "annotation_id": "94b8014d-49a7-45b6-be39-5c7fc204a08f",
  "date_created": "2026-03-02T18:02:02.919000Z",
  "date_modified": "2026-03-02T18:02:02.919000Z",
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  "record": {
    "abstract": "A fuzzy observable is regarded as a smearing of a sharp observable, and the\nstructure of covariant fuzzy observables is studied. It is shown that the\ncovariant coarse-grainings of sharp observables are exactly the covariant fuzzy\nobservables. A necessary and sufficient condition for a covariant fuzzy\nobservable to be informationally equivalent to the corresponding sharp\nobservable is given.",
    "arxiv_id": "quant-ph/0312142",
    "authors": [
      "T. Heinonen",
      "P. Lahti",
      "K. Ylinen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0034-4877(04)90028-6",
    "journal_ref": "Rep. Math. Phys. 53 (2004) 425-441.",
    "title": "Covariant fuzzy observables and coarse-graining",
    "url": "https://arxiv.org/abs/quant-ph/0312142"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8149e052-5e4b-4a3b-a1c9-0bb24ac4f1e6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}