{
  "abstract": "1+1D symmetry-protected topological (SPT) phases with invertible symmetry can be characterized by the symmetric entanglers: globally symmetric finite-depth local unitary circuits that generate representative ground states from a product state. For non-invertible symmetries, however, distinct SPT phases, such as the three $\\mathrm{Rep}(D_8)$ SPT phases, may not be connected by any symmetric entangler. We show that the three $\\mathrm{Rep}(D_8)$ SPT phases can nevertheless be connected by \\emph{symmetry-permuting} finite-depth local unitary circuits, realizing dualities predicted by topological quantum field theory (TQFT). We construct an explicit matrix product unitary connecting two of the $\\mathrm{Rep}(D_8)$ SPT phases, and show that its action on string order parameters reproduces the anyon permutation predicted by the TQFT duality.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32266",
  "author_total": 1,
  "authors": [
    {
      "name": "Minyoung You"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b97cmephmt85f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32266",
  "fulltext_url": null,
  "id": "b97cmephmt85f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32266",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214801820",
  "pdf_url": "https://arxiv.org/pdf/2609.32266",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b97cmephmt85f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.32266",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32266"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Symmetry-permuting entanglers for non-invertible symmetry-protected topological phases",
  "title_text": "Symmetry-permuting entanglers for non-invertible symmetry-protected topological phases",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/b97cmephmt85f",
  "venue": "arXiv",
  "versions": []
}