{
  "annotation_id": "0a4e8367-b00e-4d36-9195-fd867f3d1f3e",
  "date_created": "2026-03-02T18:02:13.038000Z",
  "date_modified": "2026-03-02T18:02:13.038000Z",
  "file_hash": "067f1e3e0afba3acb60f14710bcde1842641dc58decf8dc2b9fc846b9e043368",
  "private": false,
  "record": {
    "abstract": "We show that the method of maximum likelihood (MML) provides us with an\nefficient scheme for reconstruction of quantum channels from incomplete\nmeasurement data. By construction this scheme always results in estimations of\nchannels that are completely positive. Using this property we use the MML for a\nderivation of physical approximations of un-physical operations. In particular,\nwe analyze the optimal approximation of the universal NOT gate as well as a\nphysical approximation of a quantum nonlinear polarization rotation.",
    "arxiv_id": "quant-ph/0501102",
    "authors": [
      "Mario Ziman",
      "Martin Plesch",
      "Vladimir Buzek",
      "Peter Stelmachovic"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.022106",
    "journal_ref": "Phys.Rev.A 72, 022106 (2005)",
    "title": "Process reconstruction: From unphysical to physical maps via maximum   likelihood",
    "url": "https://arxiv.org/abs/quant-ph/0501102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "798d523f-71bb-475f-b833-992357b676a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}