{
  "annotation_id": "537f7385-596a-49fd-8a70-bd8a86877410",
  "date_created": "2026-03-02T18:02:09.889000Z",
  "date_modified": "2026-03-02T18:02:09.889000Z",
  "file_hash": "bc716f0a32a5cd72e3ce863f8a9c7a3ab163e771cdead23b0532083663f0652c",
  "private": false,
  "record": {
    "abstract": "The quantum color coding scheme proposed by Korff and Kempe\n(quant-ph/0405086) is easily extended so that the color coding quantum system\nis allowed to be entangled with an extra auxiliary quantum system. It is shown\nthat in the extended scheme we need only $\\sim 2\\sqrt{N}$ quantum colors to\norder $N$ objects in large $N$ limit, whereas $\\sim N/e$ quantum colors are\nrequired in the original non-extended version. The maximum success probability\nhas asymptotics expressed by the Tracy-Widom distribution of the largest\neigenvalue of a random GUE matrix.",
    "arxiv_id": "quant-ph/0409173",
    "authors": [
      "A. Hayashi",
      "T. Hashimoto",
      "M. Horibe"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.012326",
    "journal_ref": "Phys. Rev. A71, 012326 (2005)",
    "title": "Extended Quantum Color Coding",
    "url": "https://arxiv.org/abs/quant-ph/0409173"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "df54cf74-c4cb-4a85-a1b8-33a9ae3fd87b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}