{
  "id": "2410.16704",
  "version": "v1",
  "published": "2024-10-22T05:18:43.000Z",
  "updated": "2024-10-22T05:18:43.000Z",
  "title": "Resolvability of classical-quantum channels",
  "authors": [
    "Masahito Hayashi",
    "Hao-Chung Cheng",
    "Li Gao"
  ],
  "comment": "20 pages, 3 figures. Comments are welcome!",
  "categories": [
    "quant-ph",
    "cs.ET",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "Channel resolvability concerns the minimum resolution for approximating the channel output. We study the resolvability of classical-quantum channels in two settings, for the channel output generated from the worst input, and form the fixed independent and identically distributed (i.i.d.) input. The direct part of the worst-input setting is derived from sequential hypothesis testing as it involves of non-i.i.d.~inputs. The strong converse of the worst-input setting is obtained via the connection to identification codes. For the fixed-input setting, while the direct part follows from the known quantum soft covering result, we exploit the recent alternative quantum Sanov theorem to solve the strong converse.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-22T05:18:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical-quantum channels",
      "direct part",
      "strong converse",
      "channel output",
      "alternative quantum sanov theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}