{
  "annotation_id": "95b13f07-0fa1-49ec-afe5-4f13862fd40c",
  "date_created": "2026-03-02T18:02:37.044000Z",
  "date_modified": "2026-03-02T18:02:37.044000Z",
  "file_hash": "4190377d019530d1848af8a800fef4b0750c8b67acda9c8b9fe349945764e1f9",
  "private": false,
  "record": {
    "abstract": "We present a polynomial quantum algorithm for the Abelian stabilizer problem\nwhich includes both factoring and the discrete logarithm. Thus we extend famous\nShor\u0027s results. Our method is based on a procedure for measuring an eigenvalue\nof a unitary operator. Another application of this procedure is a polynomial\nquantum Fourier transform algorithm for an arbitrary finite Abelian group. The\npaper also contains a rather detailed introduction to the theory of quantum\ncomputation.",
    "arxiv_id": "quant-ph/9511026",
    "authors": [
      "A. Yu. Kitaev"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum measurements and the Abelian Stabilizer Problem",
    "url": "https://arxiv.org/abs/quant-ph/9511026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dec0f1fb-30f1-4a8b-aff8-9ec9d37b5bc7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}