{
  "annotation_id": "cf3d72b2-ca83-4b10-84fd-c6d1cd5fd960",
  "date_created": "2026-03-02T18:02:09.661000Z",
  "date_modified": "2026-03-02T18:02:09.661000Z",
  "file_hash": "3f8ddf0673283d1b581c45cf8f18f24b5aaa64f5350323cf3bdbe8b8aca7b604",
  "private": false,
  "record": {
    "abstract": "Arguably the deepest fact known about the von Neumann entropy, the strong\nsubadditivity inequality is a potent hammer in the quantum information\ntheorist\u0027s toolkit. This short tutorial describes a simple proof of strong\nsubadditivity due to Petz [Rep. on Math. Phys. 23 (1), 57--65 (1986)]. It\nassumes only knowledge of elementary linear algebra and quantum mechanics.",
    "arxiv_id": "quant-ph/0408130",
    "authors": [
      "Michael A. Nielsen",
      "Denes Petz"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A simple proof of the strong subadditivity inequality",
    "url": "https://arxiv.org/abs/quant-ph/0408130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3234b1c-28c8-41dc-8d11-450f7bb42ec6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}