{
  "annotation_id": "e772cb6f-f13e-464c-a431-6ab2a9e52aa0",
  "date_created": "2026-03-02T18:01:46.121000Z",
  "date_modified": "2026-03-02T18:01:46.121000Z",
  "file_hash": "9b59b3f7383ad493c998ccd90cc2ef09aa25a47b09b4fa3b070353e4e2b25c9c",
  "private": false,
  "record": {
    "abstract": "We examine the driving Hamiltonian in the analog analogue of Grover\u0027s\nalgorithm by Farhi and Gutmann. For a quantum system with a given Hamiltonian\n$E|w\u003e \u003c w|$, we explicitly show that while the driving Hamiltonian $E|s\u003e \u003c s|$\noptimally produces the state $|w\u003e$ from an initial state $|s\u003e$, the driving\nHamiltonian $E^{\\prime}|s\u003e \u003c s|(E^{\\prime} \\ne E)$ does not provide any speedup\ncompared even with a classical computation.",
    "arxiv_id": "quant-ph/0111021",
    "authors": [
      "Kazuto Oshima"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Driving Hamiltonian in a Quantum Search Problem",
    "url": "https://arxiv.org/abs/quant-ph/0111021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "636a7620-d8bf-4597-a7b1-7a4bfccd2122",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}