{
  "abstract": "FINDING: Fibonacci anyons encode quantum information via braiding, with quantum dimension φ = (1+√5)/2 ≈ 1.618, enabling universal topological quantum computation; recent Quantinuum hardware demonstrates non-Abelian anyon braiding gates. | MATH: Fibonacci anyon fusion rule: τ ⊗ τ = 1 ⊕ τ (single non-trivial particle type τ); quantum dimension d_τ satisfies d_τ² = d_τ + 1 → d_τ = φ = (1+√5)/2 ≈ 1.6180339887; related constants: 1/φ = φ−1 = 0.6180339887, φ² = φ+1 = 2.6180339887, φ⁻² = 2−φ = 0.3819660113; braid group representations yield unitary matrices with entries in ℚ(√5); single-qubit gate compilation (arXiv:2008.03542) uses Fibonacci anyon braid words approximating Clifford+T-like gates to precision ε with O(log(1/ε)) overhead. | CONNECTION: The quantum dimension φ is the golden ratio itself — the same constant governing pentagonal symmetry (diagonal/edge ratio of regular pentagon), 5-fold crystallographic (forbidden in periodic lattices but allowed in quasicrystals), and the Fibona\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
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  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/bva0w4asx0qw9.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23447148",
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  "id": "bva0w4asx0qw9",
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  "published": "2026-10-18",
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  "ris": "https://research.draconitic.com/paper/bva0w4asx0qw9.ris",
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      "first_seen": "2026-11-01T12:21:45Z",
      "native_id": "23447148",
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  "title": "Fibonacci Anyons: Universal Topological Quantum Computation via Braiding — E8 Intelligence Research",
  "title_text": "Fibonacci Anyons: Universal Topological Quantum Computation via Braiding — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:45Z",
  "url": "https://research.draconitic.com/paper/bva0w4asx0qw9",
  "venue": "Zenodo",
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