{
  "abstract": "We construct a primitive gate set for the digital quantum simulation of the $648$-element discrete subgroup of $SU(3)$, $\\dsb$. The five algorithmic primitives are the inversion, group multiplication, trace, group Fourier transform, and kinetic-phase gates, for which we provide qubit and qutrit--qubit decompositions. For a fiducial shear-viscosity calculation on a $10^3$ spatial lattice with $50$ time steps and a total synthesis-error budget of $10^{-8}$, the estimated fault-tolerant costs are $2.3$--$6.8\\times10^{10}$ $T$ gates in the qubit architecture and $1.3$--$5.9\\times10^{12}$ $R$ gates in the qutrit--qubit architecture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08161",
  "author_total": 4,
  "authors": [
    {
      "name": "Erik J. Gustafson"
    },
    {
      "name": "Henry Lamm"
    },
    {
      "name": "Edison Murairi"
    },
    {
      "name": "Sebastian Osorio Perez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5c72x4p08fcd2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08161",
  "fulltext_url": null,
  "id": "5c72x4p08fcd2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08161",
  "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",
      "hep-lat"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08161",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5c72x4p08fcd2.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.08161",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08161"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Primitive Quantum Gates for an $SU(3)$ Discrete Subgroup: $Σ(216\\times3)$",
  "title_text": "Primitive Quantum Gates for an SU(3) Discrete Subgroup: Σ(216×3)",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:30Z",
  "url": "https://research.draconitic.com/paper/5c72x4p08fcd2",
  "venue": "arXiv",
  "versions": []
}