{
  "annotation_id": "a239601b-4cb5-4d66-bbfb-b306da824994",
  "date_created": "2026-03-02T18:01:52.619000Z",
  "date_modified": "2026-03-02T18:01:52.619000Z",
  "file_hash": "77dead3adcc089359d9728de6ec62b8d01da5e9a0467585a5ac79fcf35103dba",
  "private": false,
  "record": {
    "abstract": "We consider the problem of correcting the errors incurred from sending\nclassical or quantum information through a noisy quantum environment by schemes\nusing classical information obtained from a measurement on the environment. We\ngive a conditions for quantum or classical information (prepared in a specified\ninput basis B) to be corrigible based on a measurement M. Based on these\ncriteria we give examples of noisy channels such that (1) no information can be\ncorrected by such a scheme (2) for some basis B there is a correcting\nmeasurement M (3) for all bases B there is an M (4) there is a measurement M\nwhich allows perfect correction for all bases B. The last case is equivalent to\nthe possibility of correcting quantum information, and turns out to be\nequivalent to the channel allowing a representation as a convex combination of\nisometric channels. Such channels are doubly stochastic but not conversely.",
    "arxiv_id": "quant-ph/0209025",
    "authors": [
      "M. Gregoratti",
      "R. F. Werner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340308234541",
    "title": "Quantum Lost and Found",
    "url": "https://arxiv.org/abs/quant-ph/0209025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "07db32df-b875-41b1-8169-62fa7c9be350",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}