{
  "annotation_id": "2fb3ba65-6a77-4c9a-8a12-6784df8449c5",
  "date_created": "2026-03-02T18:01:56.668000Z",
  "date_modified": "2026-03-02T18:01:56.668000Z",
  "file_hash": "3dcb4eec7bda31261dbe5e4f0553956786bd588ff3e0712448c53575acdbad4a",
  "private": false,
  "record": {
    "abstract": "A normalized positive operator measure $X\\mapsto E(X)$ has the\nnorm-1-property if $\\no{E(X)}=1$ whenever $E(X)\\ne O$. This property reflects\nthe fact that the measurement outcome probabilities for the values of such\nobservables can be made arbitrary close to one with suitable state\npreparations. Some general implications of the norm-1-property are\ninvestigated. As case studies, localization observables, phase observables, and\nphase space observables are considered.",
    "arxiv_id": "quant-ph/0212091",
    "authors": [
      "T. Heinonen",
      "P. Lahti",
      "J. -P. Pellonpaa",
      "S. Pulmannova",
      "K. Ylinen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1566454",
    "journal_ref": "J. Math. Phys. 44 (2003) 1998-2008.",
    "title": "The norm-1-property of a quantum observable",
    "url": "https://arxiv.org/abs/quant-ph/0212091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2f0566fe-398a-401a-a661-a4f8dd62ba62",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}