{
  "annotation_id": "5161fe34-57cc-41ce-8133-a91e307c5343",
  "date_created": "2026-03-02T18:02:13.078000Z",
  "date_modified": "2026-03-02T18:02:13.078000Z",
  "file_hash": "bd570f15fee90b4bd53e5608f7cc9b9bbc29aa513313576e1dc346f763742589",
  "private": false,
  "record": {
    "abstract": "A new class of state transformations that are quantum mechanically prohibited\nis introduced. These can be seen as the generalization of the universal-NOT\ntransformation which, for all pure inputs state of a given Hilbert space\nproduces pure outputs whose projection on the original state is fixed to a\nvalue smaller than one. The case of not pure output states is also addressed.\nWe give an application of these transformations in the context of separability\ncriteria.",
    "arxiv_id": "quant-ph/0502149",
    "authors": [
      "Vittorio Giovannetti",
      "Rosario Fazio"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.042319",
    "journal_ref": "Phys. Rev. A, 72, 042319 (2005)",
    "title": "Quantum relative positioning in Hilbert space",
    "url": "https://arxiv.org/abs/quant-ph/0502149"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eb26e546-9c25-4cbd-822a-7eff0e57373f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}