{
  "abstract": "An unknown quantum operation, like an unknown quantum state, cannot be perfectly copied or stored for later use. A specific gate can be embedded in an entangled resource and teleported, but its destination is fixed when the resource is created. Here we show that the capability to apply a two-qudit entangling gate can instead be secret-shared among many parties: the shares are distributed in advance, and a later key release lets exactly one of them, chosen after distribution, exercise it. A provider encrypts half of a Bell pair held with a user into $n$ shares, one per candidate node. The selected node, given the key qudits, completes an exact non-local $\\mathtt{CSUM}^{k}$ gate with the user's data, in every measurement branch and for any qudit dimension, with the power $k$ chosen by the user alone. Any coalition of fewer than $n$ candidate nodes, or the key register alone, holds no information, unselected nodes cannot tell whether a selection occurred, and the key cannot decrypt twice. For two candidates the registers form a $((3,5))$ threshold scheme. Encoder and decoder are explicit $O(n)$ circuits. The construction supports jointly authorized and anonymous gate application, advancing distributed quantum computing and quantum network capabilities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.42150",
  "author_total": 1,
  "authors": [
    {
      "name": "Tanay Roy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4kzhvdsq04sby.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.42150",
  "fulltext_url": null,
  "id": "4kzhvdsq04sby",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.42150",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.42150",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4kzhvdsq04sby.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.42150",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.42150"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Secret-shared teleportation of a two-qudit gate with a deferred recipient",
  "title_text": "Secret-shared teleportation of a two-qudit gate with a deferred recipient",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/4kzhvdsq04sby",
  "venue": "arXiv",
  "versions": []
}