{
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  "date_created": "2026-03-02T18:02:09.392000Z",
  "date_modified": "2026-03-02T18:02:09.392000Z",
  "file_hash": "29425ce930bcc213285981c105db5cd74fe5583860ae7bd56f4e4a67d159e04c",
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  "record": {
    "abstract": "The determination of a quantum observable from the first and second moments\nof its measurement outcome statistics is investigated. Operational conditions\nfor the moments of a probability measure are given which suffice to determine\nthe probability measure. Differential operators are shown to lead to physically\nrelevant cases where the expectation values of large classes of noncommuting\nobservables do not distinguish superpositions of states and, in particular,\nwhere the full moment information does not determine the probability measure.",
    "arxiv_id": "quant-ph/0408186",
    "authors": [
      "Pekka Lahti",
      "Juha-Pekka Pellonpaa",
      "Kari Ylinen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2005.03.041",
    "journal_ref": "Phys. Lett. A 339 (2005) 18-22",
    "title": "Two questions on quantum statistics",
    "url": "https://arxiv.org/abs/quant-ph/0408186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cccafd23-7e83-4f72-b402-343816ea9302",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}