{
  "abstract": "We show that anyon chains, after stabilizing with infinite-dimensional ancilla spaces, factorize locally as tensor products of infinite-dimensional Hilbert spaces. This implies that any unitary fusion category can be realized as symmetries on a tensor product of infinite-dimensional Hilbert spaces. We then show that any two anyon chains with the same symmetry category are related by a symmetry-compatible locality-preserving unitary after stabilizing with infinite-dimensional ancilla, showing that for a fixed fusion category, there is a single stable equivalence class of symmetry realizations on the lattice via anyon chains. As a corollary of our proof, we show that the physical boundary algebras of Levin-Wen type models are bounded spread isomorphic after stabilization if and only if they have the same bulk topological order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.21327",
  "author_total": 2,
  "authors": [
    {
      "name": "Ian Bunner"
    },
    {
      "name": "Corey Jones"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7x6907f0bf3ch.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.21327",
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  "id": "7x6907f0bf3ch",
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  "landing_url": "https://arxiv.org/abs/2605.21327",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "cond-mat.str-el"
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      "math.QA"
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      "openalex",
      "3107|Quantum many-body systems"
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  "openalex": "W7161980097",
  "pdf_url": "https://arxiv.org/pdf/2605.21327",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7x6907f0bf3ch.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2605.21327",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.21327"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces",
  "title_text": "Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/7x6907f0bf3ch",
  "venue": "arXiv",
  "versions": []
}