{
  "annotation_id": "9abe33a6-1578-45d5-977e-6231fcb74144",
  "date_created": "2026-03-02T18:01:49.270000Z",
  "date_modified": "2026-03-02T18:01:49.270000Z",
  "file_hash": "4be120df72e301bb18be12f8c296f3b3894c3e651f5fb70f7dc15ca3341aac36",
  "private": false,
  "record": {
    "abstract": "The remarkable capability of quantum Fourier transformation (QFT) to extract\nthe periodicity of a given periodic function has been exhibited by using\nnuclear magnetic resonance (NMR) techniques. Two separate sets of experiments\nwere performed. In a full QFT, the periodicity were validated with state\ntomography and fidelity measurements. For a simplified QFT, the three-qubit\npseudo-pure state was created by introducting an additional observer spin, and\nthe spectra recorded on the observer spin showed intuitively the power of QFT\\\nto find the periodicity. Experimentally realizing the QFT provides a critical\nstep to implement the renowned Shor\u0027s quantum factoring algorithm and many\nother algorithms. Moveover, it can be applied to the study of quantum chaos and\nother quantum information processing.",
    "arxiv_id": "quant-ph/0202010",
    "authors": [
      "Xinhua Peng",
      "Xiwen Zhu",
      "Ximing Fang",
      "Mang Feng",
      "Xiaodong Yang",
      "Maili Liu",
      "Kelin Gao"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Exhibition of the periodicity of Quantum Fourier Transformation in   Nuclear Magnetic Resonance",
    "url": "https://arxiv.org/abs/quant-ph/0202010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "32798e4b-6c31-41ce-b1fe-bd814a39131a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}