{
  "annotation_id": "f7841da5-9c91-4799-84ea-9651804a1f35",
  "date_created": "2026-03-02T18:02:20.596000Z",
  "date_modified": "2026-03-02T18:02:20.596000Z",
  "file_hash": "9acf3fcb558fb2abe1f97ffa4017c69ad19e5ff8f487a4ea015a46f76c34bc15",
  "private": false,
  "record": {
    "abstract": "The general conditions are discussed which quantum state purification\nprotocols have to fulfill in order to be capable of purifying Bell-diagonal\nqubit-pair states, provided they consist of steps that map Bell-diagonal states\nto Bell-diagonal states and they finally apply a suitably chosen\nCalderbank-Shor-Steane code to the outcome of such steps. As a main result a\nnecessary and a sufficient condition on asymptotic correctability are\npresented, which relate this problem to the magnitude of a characteristic\nexponent governing the relation between bit and phase errors under the\npurification steps. These conditions allow a straightforward determination of\nmaximum tolerable bit error rates of quantum key distribution protocols whose\nsecurity analysis can be reduced to the purification of Bell-diagonal states.",
    "arxiv_id": "quant-ph/0510041",
    "authors": [
      "Kedar S. Ranade",
      "Gernot Alber"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/7/014",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006), 1701-1716",
    "title": "Asymptotic correctability of Bell-diagonal quantum states and maximum   tolerable bit error rates",
    "url": "https://arxiv.org/abs/quant-ph/0510041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e7520f43-4539-498d-9de9-2bc7d61cf1ab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}