{
  "annotation_id": "f09c8350-796d-4477-a4be-891f263b77ed",
  "date_created": "2026-03-02T18:02:09.541000Z",
  "date_modified": "2026-03-02T18:02:09.541000Z",
  "file_hash": "ca38ad83617d2a551c27d46940f3c4cd3508b49d4dc2b8e4974761523caa0c71",
  "private": false,
  "record": {
    "abstract": "We consider the convex set of positive operator valued measures (POVM) which\nare covariant under a finite dimensional unitary projective representation of a\ngroup. We derive a general characterization for the extremal points, and\nprovide bounds for the ranks of the corresponding POVM densities, also relating\nextremality to uniqueness and stability of optimized measurements. Examples of\napplications are given.",
    "arxiv_id": "quant-ph/0406237",
    "authors": [
      "Giulio Chiribella",
      "Giacomo Mauro D\u0027Ariano"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1806262",
    "journal_ref": "J. Math. Phys. 45, 4435 (2004)",
    "title": "Extremal covariant POVM\u0027s",
    "url": "https://arxiv.org/abs/quant-ph/0406237"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6e86bb11-8992-4ec6-ba6e-e8cfc9a858c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}