{
  "annotation_id": "a784886a-1ad7-4fa2-b53e-a2b89972bced",
  "date_created": "2026-03-02T18:02:41.100000Z",
  "date_modified": "2026-03-02T18:02:41.100000Z",
  "file_hash": "5408f5448529200a848db5d21b17e4ecc88972944167a5e7ceb3b6a8a928ece5",
  "private": false,
  "record": {
    "abstract": "The accuracy of the Arthurs-Kelly model of a simultaneous measurement of\nposition and momentum is analysed using concepts developed by Braginsky and\nKhalili in the context of measurements of a single quantum observable. A\ndistinction is made between the errors of retrodiction and prediction. It is\nshown that the distribution of measured values coincides with the initial state\nHusimi function when the retrodictive accuracy is maximised, and that it is\nrelated to the final state anti-Husimi function (the P representation of\nquantum optics) when the predictive accuracy is maximised. The disturbance of\nthe system by the measurement is also discussed. A class of minimally\ndisturbing measurements is characterised. It is shown that the distribution of\nmeasured values then coincides with one of the smoothed Wigner functions\ndescribed by Cartwright.",
    "arxiv_id": "quant-ph/9803047",
    "authors": [
      "D. M. Appleby"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/31/30/009",
    "journal_ref": "J.Phys.A31:6419-6436,1998",
    "title": "Maximal Accuracy and Minimal Disturbance in the Arthurs-Kelly   Simultaneous Measurement Process",
    "url": "https://arxiv.org/abs/quant-ph/9803047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b94bfa98-8688-4e59-a3cd-bb660c5892cd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}