{
  "abstract": "FINDING: Ising anyon braiding gates are exactly the Clifford group; two-qubit braiding exhausts all two-qubit Clifford gates, providing a finite, topologically protected gate set. | MATH: Ising anyon fusion rules: σ×σ = 1+ψ, σ×ψ = σ, ψ×ψ = 1 (Fibonacci-like but with Majorana fermion ψ). Braid matrices: R-matrix for σ exchange acts as phase e^{±iπ/8} on the σ×σ→ψ channel and e^{±iπ/8} on the σ×σ→1 channel (relative phase e^{iπ/4}). Single-qubit braid generators: σ₁ = e^{iπ/8}·(1+iσ_z)/√2 (Hadamard-like), σ₂ = e^{iπ/8}·(1+iσ_x)/√2. These generate the single-qubit Clifford group (order 192, including Pauli group). Two-qubit braid: CNOT = e^{iπ/4}·(1+σ_z⊗σ_x+σ_x⊗σ_z−σ_z⊗σ_z)/2 — realized by a specific 4-strand braid sequence. The π/8 phase e^{iπ/8} is the key constant — it is a primitive 16th root of unity, and its square root e^{iπ/16} would be needed for non-Clifford (T-gate) but is NOT achievable by braiding alone. | CONNECTION: The phase e^{iπ/8} = (1+i)/√2 · e^{iπ/4} — geometrically,\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5yg4f1pqgbsgv.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23464936",
  "fulltext_url": null,
  "id": "5yg4f1pqgbsgv",
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  "landing_url": "https://zenodo.org/records/23464936",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5yg4f1pqgbsgv.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:50Z",
      "native_id": "23464936",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23464936"
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  ],
  "subjects": [],
  "title": "Ising Anyon Braiding Generates the Full Two-Qubit Clifford Group — E8 Intelligence Research",
  "title_text": "Ising Anyon Braiding Generates the Full Two-Qubit Clifford Group — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:50Z",
  "url": "https://research.draconitic.com/paper/5yg4f1pqgbsgv",
  "venue": "Zenodo",
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}