{
  "annotation_id": "bd01b555-89ef-46e9-ab29-9970a0275f3b",
  "date_created": "2026-03-02T18:02:03.181000Z",
  "date_modified": "2026-03-02T18:02:03.181000Z",
  "file_hash": "90b7784ae3f9e6838c7cc62a84c3d767ff54f8eb3e26827fb2fc3e3ca83f1319",
  "private": false,
  "record": {
    "abstract": "Informationally complete measurements on a quantum system allow to estimate\nthe expectation value of any arbitrary operator by just averaging functions of\nthe experimental outcomes. We show that such kind of measurements can be\nachieved through positive-operator valued measures (POVM\u0027s) related to unitary\nirreducible representations of a group on the Hilbert space of the system. With\nthe help of frame theory we provide a constructive way to evaluate the\ndata-processing function for arbitrary operators.",
    "arxiv_id": "quant-ph/0310013",
    "authors": [
      "G. M. D\u0027Ariano",
      "P. Perinotti",
      "M. F. Sacchi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/6/6/005",
    "journal_ref": "J. Opt. B: Quantum and Semicl. Optics, vol. 6, S487 (2004).",
    "title": "Informationally complete measurements and groups representation",
    "url": "https://arxiv.org/abs/quant-ph/0310013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "010895b8-5693-402f-9575-996bee34a921",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}