Majorana 1's Ising Anyons: Clifford-Only Braiding, Magic States Needed — E8 Intelligence Research

FINDING: Microsoft's Majorana 1 chip claims topological qubits using Majorana zero modes, but the mathematical core is the non-Abelian braiding statistics of Ising anyons — not yet peer-verified; the arXiv paper is a software framework, not the hardware breakthrough. | MATH: Ising anyon braid group yields Clifford gates only (not universal); to reach universality, one must inject a non-Clifford gate (e.g., π/8 phase) via magic state distillation — requiring ratios of rotation angles: π/4, π/8, π/16. The topological protection relies on the fusion rules: σ × σ = 1 + ψ (where σ = Majorana, ψ = fermion), and the braid matrix eigenvalues are e±iπ/8 — note the 1/8 fractional phase, which is *not* a golden-ratio harmonic but a root-of-unity order 16. The qubit encoding uses parity: two Majoranas form a fermion with occupation 0 or 1, giving the computational basis. | CONNECTION: The braid group B_n acts on the Ising anyon Hilbert space of dimension 2(n-1)/2; this is deeply tied to the Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com