{
  "annotation_id": "f6146825-40bd-442a-b699-5cef494988b5",
  "date_created": "2026-03-02T18:02:37.760000Z",
  "date_modified": "2026-03-02T18:02:37.760000Z",
  "file_hash": "8ecea0b16110c64241170afa3cfaca65d09267445953d75ed1ea759a2983da5f",
  "private": false,
  "record": {
    "abstract": "Existing quantum cryptographic schemes are not, as they stand, operable in\nthe presence of noise on the quantum communication channel. Although they\nbecome operable if they are supplemented by classical privacy-amplification\ntechniques, the resulting schemes are difficult to analyse and have not been\nproved secure. We introduce the concept of quantum privacy amplification and a\ncryptographic scheme incorporating it which is provably secure over a noisy\nchannel. The scheme uses an `entanglement purification\u0027 procedure which,\nbecause it requires only a few quantum Controlled-Not and single-qubit\noperations, could be implemented using technology that is currently being\ndeveloped. The scheme allows an arbitrarily small bound to be placed on the\ninformation that any eavesdropper may extract from the encrypted message.",
    "arxiv_id": "quant-ph/9604039",
    "authors": [
      "D. Deutsch",
      "A. Ekert",
      "R. Jozsa",
      "C. Macchiavello",
      "S. Popescu",
      "A. Sanpera"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.77.2818",
    "journal_ref": "Phys.Rev.Lett.77:2818-2821,1996; Erratum-ibid.80:2022-2022,1998",
    "title": "Quantum privacy amplification and the security of quantum cryptography   over noisy channels",
    "url": "https://arxiv.org/abs/quant-ph/9604039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c2d3745c-75ef-4249-bac9-be1ca66ce131",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}