{
  "annotation_id": "f9ec216c-cb40-4e20-be54-436e05a3ae92",
  "date_created": "2026-03-02T18:02:09.548000Z",
  "date_modified": "2026-03-02T18:02:09.548000Z",
  "file_hash": "31a912cc980b2f213c893f413cfb7a8cebae910ecb16f3bc15ff70df28ca351a",
  "private": false,
  "record": {
    "abstract": "We consider a unitary transformation which maps any given state of an\n$n$-qubit quantum register into another one. This transformation has\napplications in the initialization of a quantum computer, and also in some\nquantum algorithms. Employing uniformly controlled rotations, we present a\nquantum circuit of $2^{n+2}-4n-4$ CNOT gates and $2^{n+2}-5$ one-qubit\nelementary rotations that effects the state transformation. The complexity of\nthe circuit is noticeably lower than the previously published results.\nMoreover, we present an analytic expression for the rotation angles needed for\nthe transformation.",
    "arxiv_id": "quant-ph/0407010",
    "authors": [
      "Mikko Mottonen",
      "Juha J. Vartiainen",
      "Ville Bergholm",
      "Martti M. Salomaa"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quant. Inf. Comp. 5, 467 (2005)",
    "title": "Transformation of quantum states using uniformly controlled rotations",
    "url": "https://arxiv.org/abs/quant-ph/0407010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4aabb27b-ae9d-48f5-b548-3becae2b31ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}