{
  "annotation_id": "3520ac3e-a30b-4a85-af36-78c39cc249ae",
  "date_created": "2026-03-02T18:02:27.662000Z",
  "date_modified": "2026-03-02T18:02:27.662000Z",
  "file_hash": "a060783cc6a354d7942b1ba1f4f0f0e57f63ddcc91b6d245da8af931b3de5586",
  "private": false,
  "record": {
    "abstract": "We investigate if the degradation of a quantum directional reference frame\nthrough repeated use can be modeled as a classical direction undergoing a\nrandom walk on a sphere. We demonstrate that the behaviour of the fidelity for\na degrading quantum directional reference frame, defined as the average\nprobability of correctly determining the orientation of a test system, can be\nfit precisely using such a model. Physically, the mechanism for the random walk\nis the uncontrollable back-action on the reference frame due to its use in a\nmeasurement of the direction of another system. However, we find that the\nmagnitude of the step size of this random walk is not given by our classical\nmodel and must be determined from the full quantum description.",
    "arxiv_id": "quant-ph/0607107",
    "authors": [
      "Stephen D. Bartlett",
      "Terry Rudolph",
      "Barry C. Sanders",
      "Peter S. Turner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340701289254",
    "journal_ref": "J. Mod. Opt., 54, 2211 (2007)",
    "title": "Degradation of a quantum directional reference frame as a random walk",
    "url": "https://arxiv.org/abs/quant-ph/0607107"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "40593954-0a3d-40b6-b0dc-83ac93059088",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}