{
  "annotation_id": "815e2651-af17-4e0e-9ba5-0d1282fed82f",
  "date_created": "2026-03-02T18:02:12.905000Z",
  "date_modified": "2026-03-02T18:02:12.905000Z",
  "file_hash": "f85bff1670d123106488991addaf736ec522f7e90956ce412ba61f0673c0a8b1",
  "private": false,
  "record": {
    "abstract": "In a recent paper, a \"distance\" function, \\cal D, was defined which measures\nthe distance between pure classical and quantum systems. In this work, we\npresent a new definition of a \"distance\", D, which measures the distance\nbetween either pure or impure classical and quantum states. We also compare the\nnew distance formula with the previous formula, when the latter is applicable.\nTo illustrate these distances, we have used 2 \\times 2 matrix examples and\n2-dimensional vectors for simplicity and clarity. Several specific examples are\ncalculated.",
    "arxiv_id": "quant-ph/0411070",
    "authors": [
      "Deanna Abernethy",
      "John R. Klauder"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10701-005-4569-2",
    "title": "The Distance Between Classical and Quantum Systems",
    "url": "https://arxiv.org/abs/quant-ph/0411070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b59dce37-b031-4a81-b593-9cec381376b2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}