{
  "annotation_id": "9a6bb543-289e-498a-8755-bfcb08f01e31",
  "date_created": "2026-03-02T18:02:13.325000Z",
  "date_modified": "2026-03-02T18:02:13.325000Z",
  "file_hash": "9e6986a0f0461c6e9945b8b280d11af83bbb75b77f000fa3c001b87b3195be5c",
  "private": false,
  "record": {
    "abstract": "Quantum information theory has generated several interesting conjectures\ninvolving products of completely positive maps on matrix algebras, also known\nas quantum channels. In particular it is conjectured that the output state with\nmaximal p-norm from a product channel is always a product state. It is shown\nhere that the Lieb-Thirring inequality can be used to prove this conjecture for\none special case, namely when one of the components of the product channel is\nof the type known as a diagonal channel, which acts on a state by taking the\nHadamard product with a positive matrix.",
    "arxiv_id": "quant-ph/0412046",
    "authors": [
      "C. King"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "An application of a matrix inequality in quantum information theory",
    "url": "https://arxiv.org/abs/quant-ph/0412046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c76249d3-7478-467c-9e4e-76e0cfa9a948",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}