{
  "annotation_id": "6c3c200f-294b-4cc9-a765-bb4c4fea453b",
  "date_created": "2026-03-02T18:01:49.024000Z",
  "date_modified": "2026-03-02T18:01:49.024000Z",
  "file_hash": "1e71f4ea910dab556de1b87f245ed18b06dc9188c0749196cefdcf41c2d4cf11",
  "private": false,
  "record": {
    "abstract": "We study when a non--local unitary operation acting on two $d$--level systems\ncan probabilistically simulate another one when arbitrary local operations and\nclassical communication are allowed. We provide necessary and sufficient\nconditions for the simulation to be possible. Probabilistic interconvertability\nis used to define an equivalence relation between gates. We show that this\nrelation induces a finite number of classes, that we identify. In the case of\ntwo qubits, two classes of non--local operations exist. We choose the CNOT and\nSWAP as representatives of these classes. We show how the CNOT [SWAP] can be\ndeterministically converted into any operation of its class. We also calculate\nthe optimal probability of obtaining the CNOT [SWAP] from any operation of the\ncorresponding class and provide a protocol to achieve this task.",
    "arxiv_id": "quant-ph/0112124",
    "authors": [
      "W. D\u00fcr",
      "G. Vidal",
      "J. I. Cirac"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.89.057901",
    "journal_ref": "Phys. Rev. Lett. 89, 057901 (2002)",
    "title": "Optimal conversion of non--local unitary operations",
    "url": "https://arxiv.org/abs/quant-ph/0112124"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c90b5309-8ce4-4c7e-a8cc-7beef4438466",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}