{
  "annotation_id": "e4214e53-7065-4d09-943b-761bc4a8dc49",
  "date_created": "2026-03-02T18:01:42.136000Z",
  "date_modified": "2026-03-02T18:01:42.136000Z",
  "file_hash": "90a758cc82cbd9e61f16b517c0ffe58ef9aa19783080ae2beccc712597484673",
  "private": false,
  "record": {
    "abstract": "It is conjectured that the Holevo capacity of a product channel \\Omega\n\\otimes \\Phi is achieved when product states are used as input. Amosov, Holevo\nand Werner have also conjectured that the maximal p-norm of a product channel\nis achieved with product input states. In this paper we establish both of these\nconjectures in the case that \\Omega is arbitrary and \\Phi is a CQ or QC channel\n(as defined by Holevo). We also establish the Amosov, Holevo and Werner\nconjecture when \\Omega is arbitrary and either \\Phi is a qubit channel and p=2,\nor \\Phi is a unital qubit channel and p is integer. Our proofs involve a new\nconjecture for the norm of an output state of the half-noisy channel I \\otimes\n\\Phi, when \\Phi is a qubit channel. We show that this conjecture in some cases\nalso implies additivity of the Holevo capacity.",
    "arxiv_id": "quant-ph/0103086",
    "authors": [
      "C. King"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1433943",
    "title": "Maximization of capacity and p-norms for some product channels",
    "url": "https://arxiv.org/abs/quant-ph/0103086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e5bf9f69-13df-4841-aa01-cf5a5d4f246c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}