{
  "annotation_id": "5a443f7a-b4b5-4976-a0f1-98fd0676e23c",
  "date_created": "2026-03-02T18:01:39.260000Z",
  "date_modified": "2026-03-02T18:01:39.260000Z",
  "file_hash": "ec384dfb6f2b2df03175a1adc2b7ae619fb071db22d18dfe5a4267b133372ef9",
  "private": false,
  "record": {
    "abstract": "We give necessary and sufficient conditions for the set of Neumark\nprojections of a countable set of phase space observable to constitute a\nresolution of the identity, and we give a criteria for a phase space observable\nto be informationally complete. The results will be applied to the phase space\nobservables arising from an irreducible representation of the Heisenberg group.",
    "arxiv_id": "quant-ph/0004032",
    "authors": [
      "G. Cassinelli",
      "E. De Vito",
      "A. Levrero",
      "P. Lahti"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.1286986",
    "title": "Phase space observables and isotypic spaces",
    "url": "https://arxiv.org/abs/quant-ph/0004032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fa260f56-417d-4819-952e-88a9d57404a1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}