{
  "abstract": "Non-Abelian anyons, strange particles forming the basis of fault-tolerant topological quantum computing, are predicted to emerge in fractional quantum Hall states at even-denominator filling factors. Identifying which topological order is realized has proven to be a challenging problem that requires an accurate, non-perturbative treatment of realistic Landau level mixing, which has so far been missing from theoretical studies. Here we present the first complete solution of non-Abelian quantum Hall problem that includes all electrons and all Landau levels, for spin-polarized electrons at filling factor $ν= 3/2$. We develop a momentum-resolved neural-network variational wave function, optimized solely on the microscopic Hamiltonian, which gives direct access to the topologically degenerate ground states. Without any physics input about the expected outcome, it discovers a degenerate ground-state manifold whose entanglement reveals anyons with quantum dimension $\\sqrt{2}$, the hallmark of Ising-type non-Abelian order. By directly computing the overlap with trial wave functions, we further show that Landau level mixing favors the anti-Pfaffian over other candidate states. Our results demonstrate the power of neural-network wave functions in finding and characterizing non-Abelian anyons from first principles, in regimes of strong Landau level mixing, relevant to many recent experiments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18967",
  "author_total": 3,
  "authors": [
    {
      "name": "Pierre-Antoine Graham"
    },
    {
      "name": "Ahmed Abouelkomsan"
    },
    {
      "name": "Liang Fu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3mt9jeg9w4ma6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18967",
  "fulltext_url": null,
  "id": "3mt9jeg9w4ma6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18967",
  "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.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "cs.AI"
    ],
    [
      "openalex",
      "3107|Quantum and electron transport phenomena"
    ]
  ],
  "openalex": "W7221978762",
  "pdf_url": "https://arxiv.org/pdf/2610.18967",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3mt9jeg9w4ma6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.18967",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18967"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Non-Abelian quantum Hall states at strong Landau level mixing: finding anyons with first-principles AI",
  "title_text": "Non-Abelian quantum Hall states at strong Landau level mixing: finding anyons with first-principles AI",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/3mt9jeg9w4ma6",
  "venue": "arXiv",
  "versions": []
}