{
  "annotation_id": "c096d39d-101f-4c17-84ea-789d073891dd",
  "date_created": "2026-03-02T18:02:20.542000Z",
  "date_modified": "2026-03-02T18:02:20.542000Z",
  "file_hash": "e0a5a8ab1ec0fe1536168a8500f0d57360444ce134b33f48071aa4e4c5e02d69",
  "private": false,
  "record": {
    "abstract": "Taking several statistical examples, in particular one involving a choice of\nexperiment, as points of departure, and making symmetry assumptions, the link\ntowards quantum theory developed in Helland (2005a,b) is surveyed and\nclarified. The quantum Hilbert space is constructed from the parameters of the\nvarious experiments using group representation theory. It is shown under\nnatural assumptions that a subset of the set of unit vectors of this space, the\ngeneralized coherent state vectors, can be put in correspondence with questions\nof the kind: What is the value of the (complete) parameter? - together with a\ncrisp answer to that question. Links are made to statistical models in general,\nto model reduction of overparametrized models and to the design of experiments.\nIt turns out to be essential that the range of the statistical parameter is an\ninvariant set under the relevant symmetry group.",
    "arxiv_id": "quant-ph/0507200",
    "authors": [
      "Inge S. Helland"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Symmetry, model reduction, and quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0507200"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "47ffe415-6bab-4f47-9d6b-4820b1c295c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}