{
  "annotation_id": "a9bb4623-0f77-4589-8e97-cea9c92b0583",
  "date_created": "2026-03-02T18:02:27.519000Z",
  "date_modified": "2026-03-02T18:02:27.519000Z",
  "file_hash": "846eafe1594d55f85b1ee85df22b952143e1722ce179f1824d49d9c36cf91eb8",
  "private": false,
  "record": {
    "abstract": "We investigate the Weyl channels being covariant with respect to the maximum\ncommutative group of unitary operators. This class includes the quantum\ndepolarizing channel and the \"two-Pauli\" channel as well. Then, we show that\nour estimation of the output entropy for a tensor product of the phase damping\nchannel and the identity channel based upon the decreasing property of the\nrelative entropy allows to prove the additivity conjecture for the minimal\noutput entropy for the quantum depolarizing channel in any prime dimesnsion and\nfor the \"two Pauli\" channel in the qubit case.",
    "arxiv_id": "quant-ph/0605177",
    "authors": [
      "G. G. Amosov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2406054",
    "journal_ref": "J. Math. Phys. 48 (2007) no. 1, P. 2104-2117",
    "title": "On Weyl channels being covariant with respect to the maximum commutative   group of unitaries",
    "url": "https://arxiv.org/abs/quant-ph/0605177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8fcf3ee1-7270-42e4-8d3c-49b41129ade3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}