{
  "annotation_id": "49d7dd36-becd-4cb9-b170-2627540b6bbb",
  "date_created": "2026-03-02T18:01:59.615000Z",
  "date_modified": "2026-03-02T18:01:59.615000Z",
  "file_hash": "c177229a2665d861d6ec36f8537e78c5fe6f5ca1b08e2d7f3e208659f7bbdfb2",
  "private": false,
  "record": {
    "abstract": "We reduce the number of open additivity problems in quantum information\ntheory by showing that four of them are equivalent. We show that the\nconjectures of additivity of the minimum output entropy of a quantum channel,\nadditivity of the Holevo expression for the classical capacity of a quantum\nchannel, additivity of the entanglement of formation, and strong\nsuperadditivity of the entanglement of formation, are either all true or all\nfalse.",
    "arxiv_id": "quant-ph/0305035",
    "authors": [
      "Peter W. Shor"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1007/s00220-004-1071-1",
    "title": "Equivalence of Additivity Questions in Quantum Information Theory",
    "url": "https://arxiv.org/abs/quant-ph/0305035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "84cac733-5376-4e0f-a599-050a4ab89063",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}