{
  "annotation_id": "c0dd4c5a-1d16-4f63-b41b-e9d856121032",
  "date_created": "2026-03-02T18:02:45.235000Z",
  "date_modified": "2026-03-02T18:02:45.235000Z",
  "file_hash": "5c6082b30e2b449349d2d617e483a2adf9088e0e3ac8d71a8ae3b0cfa8b4f1d1",
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  "record": {
    "abstract": "We present efficient implementations of a number of operations for quantum\ncomputers. These include controlled phase adjustments of the amplitudes in a\nsuperposition, permutations, approximations of transformations and\ngeneralizations of the phase adjustments to block matrix transformations. These\noperations generalize those used in proposed quantum search algorithms.",
    "arxiv_id": "quant-ph/9811073",
    "authors": [
      "Tad Hogg",
      "Carlos Mochon",
      "Wolfgang Polak",
      "Eleanor Rieffel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0129183199001108",
    "journal_ref": "Int.J.Mod.Phys.C10:1347-1362,1999",
    "title": "Tools for Quantum Algorithms",
    "url": "https://arxiv.org/abs/quant-ph/9811073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d22b9bf6-6d6d-4eab-92b5-ed14e7bd2099",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}