{
  "annotation_id": "7c80d954-3c99-42ea-975b-07fa42a9f668",
  "date_created": "2026-03-02T18:01:52.925000Z",
  "date_modified": "2026-03-02T18:01:52.925000Z",
  "file_hash": "82f4a95adc99bfdd9e51c266ea4021044befffbc7856041a64c9dcc9724613ae",
  "private": false,
  "record": {
    "abstract": "We construct the exchange gate with small elementary gates on the space of\nqudits, which consist of three controlled shift gates and three \"reverse\"\ngates. This is a natural extension of the qubit case.\n  We also consider a similar subject on the Fock space, but in this case we\nmeet with some different situation. However we can construct the exchange gate\nby making use of generalized coherent operator based on the Lie algebra su(2)\nwhich is a well--known method in Quantum Optics. We moreover make a brief\ncomment on \"imperfect clone\".",
    "arxiv_id": "quant-ph/0207002",
    "authors": [
      "Kazuyuki Fujii"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/1464-4266/5/6/011",
    "journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 5(2003) S613-S618",
    "title": "Exchange Gate on the Qudit Space and Fock Space",
    "url": "https://arxiv.org/abs/quant-ph/0207002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "08cd3279-2eba-423a-9cef-8b3982059fc3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}