{
  "annotation_id": "525516af-4a77-4f12-b754-c0278edf2981",
  "date_created": "2026-03-02T18:02:27.719000Z",
  "date_modified": "2026-03-02T18:02:27.719000Z",
  "file_hash": "53060461edd359903f90f10edd5a4b00123d1f016fc2acb341e9ca9a4f75d47a",
  "private": false,
  "record": {
    "abstract": "We consider the hidden subgroup problem on the semi-direct product of cyclic\ngroups $\\Z_{N}\\rtimes\\Z_{p}$ with some restriction on $N$ and $p$. By using the\nhomomorphic properties, we present a class of semi-direct product groups in\nwhich the structures of subgroups can be easily classified. Furthermore, we\nshow that there exists an efficient quantum algorithm for the hidden subgroup\nproblem on the class.",
    "arxiv_id": "quant-ph/0604172",
    "authors": [
      "Dong Pyo Chi",
      "Jeong San Kim",
      "Soojoon Lee"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Phys. Lett. A 359, 114 (2006).",
    "title": "Notes on the hidden subgroup problem on some semi-direct product groups",
    "url": "https://arxiv.org/abs/quant-ph/0604172"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "14b8506b-fa28-4194-b14f-644947ea6b78",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}