{
  "annotation_id": "c8a5408d-3eab-42c3-bdfe-0783d1eeea98",
  "date_created": "2026-03-02T18:02:06.281000Z",
  "date_modified": "2026-03-02T18:02:06.281000Z",
  "file_hash": "b3cd89473703008c037a3ba0e4ca8e2d40281c4ec8490e560aa8af9220fa0a7f",
  "private": false,
  "record": {
    "abstract": "Generalizing the notion of relative entropy, the difference between a priori\nand a posteriori relative entropy for quantum systems is drawn. The former,\nknown as quantum relative entropy, is associated with quantum states\nrecognition. The latter -- a posteriori relative quantum entropy is shown to be\nrelated with state reconstruction due to the following property: given a\ndensity operator $\\rho$, ensembles of pure states with Gibbs distribution with\nrespect to the defined distance are proved to represent the initial state\n$\\rho$ up to an amount of white noise (completely mixed state) which can be\nmade arbitrary small.",
    "arxiv_id": "quant-ph/0403105",
    "authors": [
      "Roman R. Zapatrin"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A note on continuous ensemble expansions of quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0403105"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8498d11f-56b2-45ef-9697-2edfe1be10f4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}