{
  "annotation_id": "e0645bec-b3f1-4d70-b9a4-e04f64cdba67",
  "date_created": "2026-03-02T18:02:10.289000Z",
  "date_modified": "2026-03-02T18:02:10.289000Z",
  "file_hash": "13df701a24ded3e2502af3853e35a98853cee7dd1e883da39bcfeadfebbdb7b8",
  "private": false,
  "record": {
    "abstract": "We give an operational definition of the quantum, classical and total amount\nof correlations in a bipartite quantum state. We argue that these quantities\ncan be defined via the amount of work (noise) that is required to erase\n(destroy) the correlations: for the total correlation, we have to erase\ncompletely, for the quantum correlation one has to erase until a separable\nstate is obtained, and the classical correlation is the maximal correlation\nleft after erasing the quantum correlations.\n  In particular, we show that the total amount of correlations is equal to the\nquantum mutual information, thus providing it with a direct operational\ninterpretation for the first time. As a byproduct, we obtain a direct,\noperational and elementary proof of strong subadditivity of quantum entropy.",
    "arxiv_id": "quant-ph/0410091",
    "authors": [
      "Berry Groisman",
      "Sandu Popescu",
      "Andreas Winter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.032317",
    "journal_ref": "Phys Rev A, vol 72, 032317 (2005).",
    "title": "On the quantum, classical and total amount of correlations in a quantum   state",
    "url": "https://arxiv.org/abs/quant-ph/0410091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a6ad7e5f-1d63-48e6-89df-9da534bd80de",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}