{
  "annotation_id": "7705b713-0ee4-4dfb-a3ee-e390ae335f86",
  "date_created": "2026-03-02T18:02:47.944000Z",
  "date_modified": "2026-03-02T18:02:47.944000Z",
  "file_hash": "3b6929591f578aad5eef0fc37d07f18b2220319c5bb5b08189977fd5c82775ec",
  "private": false,
  "record": {
    "abstract": "An SO(3) picture of the generalized Grover\u0027s quantum searching algorithm,with\narbitrary unitary transformation and with arbitrary phase rotations, is\nconstructed. In this picture, any quantum search operation is a rotation in a 3\ndimensional space. Exact formulas for the rotation angle and rotational axis\nare given. The probability of finding the marked state is just $(z+1)/2$, where\nz is the z-component of the state vector. Exact formulas for this probability\nis easily obtained. The phase matching requirement and the failure of algorithm\nwhen phase mismatches are clearly explained.",
    "arxiv_id": "quant-ph/9911004",
    "authors": [
      "Gui Lu Long",
      "Chang Cun Tu",
      "Yan Song Li",
      "Wei Lin Zhang",
      "Hai Yang Yan"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A novel SO(3) picture for quantum searching",
    "url": "https://arxiv.org/abs/quant-ph/9911004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2d0f6cb9-38c8-4289-b359-9f852da2a39e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}