{
  "annotation_id": "e3773d96-1d40-48f9-8916-0c16f6d505be",
  "date_created": "2026-03-02T18:02:17.261000Z",
  "date_modified": "2026-03-02T18:02:17.261000Z",
  "file_hash": "2b56b3ebf53e780e1ff2e7d1fdf632e4b4a115518c18deb8bf4dc95701317df9",
  "private": false,
  "record": {
    "abstract": "We prove a lemma which allows one to extend results about the additivity of\nthe minimal output entropy from highly symmetric channels to a much larger\nclass. A similar result holds for the maximal output $p$-norm. Examples are\ngiven showing its use in a variety of situations. In particular, we prove the\nadditivity and the multiplicativity for the shifted depolarising channel.",
    "arxiv_id": "quant-ph/0505022",
    "authors": [
      "Motohisa Fukuda"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/45/L02",
    "journal_ref": "J. Phys. A: Math. Gen. 38 (2005) L753-L758",
    "title": "Extending additivity from symmetric to asymmetric channels",
    "url": "https://arxiv.org/abs/quant-ph/0505022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6983b718-399d-404b-b788-5767ae045c6b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}