{
  "annotation_id": "af052c29-0ca4-44bf-83e1-cd23687cdf35",
  "date_created": "2026-03-02T18:02:41.091000Z",
  "date_modified": "2026-03-02T18:02:41.091000Z",
  "file_hash": "eef5ac5de2b3d0274c960175d1cfba40bcf0450debdbca0930f5e26717df75af",
  "private": false,
  "record": {
    "abstract": "A family of quantum cloning machines is introduced that produce two\napproximate copies from a single quantum bit, while the overall input-to-output\noperation for each copy is a Pauli channel. A no-cloning inequality is derived,\ndescribing the balance between the quality of the two copies. This also\nprovides an upper bound on the quantum capacity of the Pauli channel with\nprobabilities $p_x$, $p_y$ and $p_z$. The capacity is shown to be vanishing if\n$(\\sqrt{p_x},\\sqrt{p_y},\\sqrt{p_z})$ lies outside an ellipsoid whose pole\ncoincides with the depolarizing channel that underlies the universal cloning\nmachine.",
    "arxiv_id": "quant-ph/9803058",
    "authors": [
      "Nicolas J. Cerf"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.84.4497",
    "journal_ref": "Phys.Rev.Lett. 84 (2000) 4497",
    "title": "Quantum cloning and the capacity of the Pauli channel",
    "url": "https://arxiv.org/abs/quant-ph/9803058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8509f175-d628-411b-8bd6-8158442034c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}