{
  "annotation_id": "a425849d-f242-4d7d-bb3b-47fd99286957",
  "date_created": "2026-03-02T18:01:59.597000Z",
  "date_modified": "2026-03-02T18:01:59.597000Z",
  "file_hash": "14f9a6c14e1addfd05322ed900a4661efd26f3cf845916a206712665dc7bd9ea",
  "private": false,
  "record": {
    "abstract": "We analyze a class of quantum operations based on a geometrical\nrepresentation of $d-$level quantum system (or qudit for short). A sufficient\nand necessary condition of complete positivity, expressed in terms of the\nquantum Fourier transform, is found for this class of operations. A more\ngeneral class of operations on qudits is also considered and its completely\npositive condition is reduced to the well-known semi-definite programming\nproblem.",
    "arxiv_id": "quant-ph/0304145",
    "authors": [
      "Runyao Duan",
      "Zhengfeng Ji",
      "Yuan Feng",
      "Mingsheng Ying"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2004.01.045",
    "journal_ref": "Phys. Lett. A 323(2004)48",
    "title": "Quantum operation, quantum Fourier transform and semi-definite   programming",
    "url": "https://arxiv.org/abs/quant-ph/0304145"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "82e82748-d811-4c25-8448-4c7a048b9701",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}