{
  "abstract": "We construct a universal quantum computational encoding via braiding in Links--Gould fusion spaces associated to $U_q^H(\\mathfrak{sl}(2|1))$ where $q$ is on the unit circle and is not a root of unity. The construction uses only neglectons and is realized in the morphism spaces $\\mathrm{Hom}_{U_q^H}(V(0,α),V(0,-\\frac{1}{2})^{\\otimes 2N}\\otimes V(0,α)).$ Under explicit positivity and arithmetic constraints these spaces admit a $2^N$-dimensional computational subspace with a positive definite Hermitian form. We prove single-qubit density in $\\mathrm{U}(2,1)$ and approximate arbitrary unitary operators on $N$-qubit computational subspaces with arbitrarily small leakage. The calculations use explicit inclusions, projections, and Hermitian pairings without requiring $F$-matrices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04290",
  "author_total": 2,
  "authors": [
    {
      "name": "Matthew Harper"
    },
    {
      "name": "Ben-Michael Kohli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eahvwbb6rj797.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04290",
  "fulltext_url": null,
  "id": "eahvwbb6rj797",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04290",
  "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",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04290",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eahvwbb6rj797.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.04290",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04290"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "An example of universal braiding in Links--Gould topological quantum computation",
  "title_text": "An example of universal braiding in Links--Gould topological quantum computation",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:29Z",
  "url": "https://research.draconitic.com/paper/eahvwbb6rj797",
  "venue": "arXiv",
  "versions": []
}