{
  "annotation_id": "eab16b14-8540-47eb-8c9f-093f6963dca4",
  "date_created": "2026-03-02T18:01:52.478000Z",
  "date_modified": "2026-03-02T18:01:52.478000Z",
  "file_hash": "d188987a7150d7ccf37cbd9ca96404eaf3a6ead43a8da4cc18cf63f88b13cd24",
  "private": false,
  "record": {
    "abstract": "The theory of quantum error correction is a cornerstone of quantum\ninformation processing. It shows that quantum data can be protected against\ndecoherence effects, which otherwise would render many of the new quantum\napplications practically impossible. In this paper we give a self contained\nintroduction to this theory and to the closely related concept of quantum\nchannel capacities. We show, in particular, that it is possible (using\nappropriate error correcting schemes) to send a non-vanishing amount of quantum\ndata undisturbed (in a certain asymptotic sense) through a noisy quantum\nchannel T, provided the errors produced by T are small enough.",
    "arxiv_id": "quant-ph/0206086",
    "authors": [
      "M. Keyl",
      "R. F. Werner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/3-540-45855-7_7",
    "title": "How to correct small quantum errors",
    "url": "https://arxiv.org/abs/quant-ph/0206086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "424b482f-fd40-4c44-adb6-1d2e89c9d377",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}