{
  "annotation_id": "d3a2f3e9-3507-401a-b499-90d5155e11fc",
  "date_created": "2026-03-02T18:02:27.500000Z",
  "date_modified": "2026-03-02T18:02:27.500000Z",
  "file_hash": "c928bea3f37465abe2a258f080b05fe55aa8ede485ef026c58c1e5870977b605",
  "private": false,
  "record": {
    "abstract": "A distance measure is presented between two unitary propagators of quantum\nsystems of differing dimensions along with a corresponding method of\ncomputation. A typical application is to compare the propagator of the actual\n(real) process with the propagator of the desired (ideal) process; the former\nbeing of a higher dimension then the latter. The proposed measure has the\nadvantage of dealing with possibly correlated inputs, but at the expense of\nworking on the whole space and not just the information bearing part as is\nusually the case, i.e., no partial trace operation is explicitly involved. It\nis also shown that the distance measure and an average measure of channel\nfidelity both depend on the size of the same matrix: as the matrix size\nincreases, distance decreases and fidelity increases.",
    "arxiv_id": "quant-ph/0606064",
    "authors": [
      "Robert L. Kosut",
      "Matthew Grace",
      "Constantin Brif",
      "Herschel Rabitz"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On the distance between unitary propagators of quantum systems of   differing dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0606064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6cc58ace-5088-483d-b574-ac2445f55668",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}