{
  "annotation_id": "a14e1899-8f59-4f06-af94-69f5ba89ab10",
  "date_created": "2026-03-02T18:02:20.476000Z",
  "date_modified": "2026-03-02T18:02:20.476000Z",
  "file_hash": "57f40d5287ccb8fd1aace4fd9679fc9557c5b7651edc4b1db54089fbfbaf09c7",
  "private": false,
  "record": {
    "abstract": "Unambiguous unitary maps and unambiguous unitary quantum channels are\nintroduced and some of their properties are derived. These properties ensure\ncertain simple form for the measurements involved in realizing an unambiguous\nunitary quantum channel. Error correction and unambiguous error correction with\nnonzero probability are discussed in terms of unambiguous unitary quantum\nchannels. We not only re-derive the well-known condition for a set of errors to\nbe correctable with certainty, but also obtain a necessary and sufficient\ncondition for the errors caused by a noisy channel to be correctable with any\nnonzero probability. Dense coding with a partially entangled state can also be\nviewed as an unambiguous unitary quantum channel when all messages are required\nto be transmitted with equal probability of success, the maximal achievable\nprobability of success is derived and the optimum protocol is also obtained.",
    "arxiv_id": "quant-ph/0509212",
    "authors": [
      "Shengjun Wu",
      "Xuemei Chen"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Information \u0026 Computation, Vol. 7 (No. 8), 782-798 (2007)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Unambiguous unitary quantum channels",
    "url": "https://arxiv.org/abs/quant-ph/0509212"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d16e1344-2311-4c60-9c21-95562d5787b1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}