{
  "annotation_id": "b02f11da-2ecd-47fa-bd0e-5005a80fcc4f",
  "date_created": "2026-03-02T18:01:56.400000Z",
  "date_modified": "2026-03-02T18:01:56.400000Z",
  "file_hash": "f72583566f4bc7a24b945f89273a74edf5622bc506da61ac53b89d8263dea1b0",
  "private": false,
  "record": {
    "abstract": "This paper derives an inequality relating the p-norm of a positive 2 x 2\nblock matrix to the p-norm of the 2 x 2 matrix obtained by replacing each block\nby its p-norm. The inequality had been known for integer values of p, so the\nmain contribution here is the extension to all values p \u003e= 1. In a special case\nthe result reproduces Hanner\u0027s inequality. As an application in quantum\ninformation theory, the inequality is used to obtain some results concerning\nmaximal p-norms of product channels.",
    "arxiv_id": "quant-ph/0302069",
    "authors": [
      "C. King"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Inequality for p-norms of positive matrices",
    "url": "https://arxiv.org/abs/quant-ph/0302069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aeaefa6b-3bf2-4c1b-9163-476c8e7e7442",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}