{
  "annotation_id": "0f8fd4b8-d118-4195-ae5a-5d37d416f198",
  "date_created": "2026-03-02T18:02:41.100000Z",
  "date_modified": "2026-03-02T18:02:41.100000Z",
  "file_hash": "2616d0141ad86812ca3fe9b6278b4cc5e940390a630fe6556479bd1542000392",
  "private": false,
  "record": {
    "abstract": "The distribution of measured values for maximally accurate, unbiased\nsimultaneous measurements of position and momentum is investigated. It is\nshown, that if the measurement is retrodictively optimal, then the distribution\nof results is given by the initial state Husimi function (or Q-representation).\nIf the measurement is predictively optimal, then the distribution of results is\nrelated to the final state anti-Husimi function (or P-representation). The\nsignificance of this universal property for the interpretation of the Husimi\nfunction is discussed.",
    "arxiv_id": "quant-ph/9803053",
    "authors": [
      "D. M. Appleby"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Int.J.Theor.Phys. 38 (1999) 807-825",
    "title": "Optimal Joint Measurements of Position and Momentum",
    "url": "https://arxiv.org/abs/quant-ph/9803053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bc6992e6-f4e5-4dcc-9a49-7fd78ad956b5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}