Majorana 1's Ising Anyon Math: Non-Abelian Braiding, Unverified Topological Qubits — E8 Intelligence Research
Description
FINDING: Microsoft's Majorana 1 chip claims topological qubits via Majorana zero modes, but the mathematical core is the non-Abelian braiding statistics of Ising anyons — not yet peer-verified in the provided sources. | MATH: Topological qubit encoding relies on the fusion rules of Ising anyons: σ × σ = 1 + ψ, with quantum dimension d_σ = √2. Braiding matrices are the Fibonacci-like (but here Ising) representations of the braid group B_n. The ground-state degeneracy on a genus-g surface scales as 2^g (for Ising), and the topological charge conservation enforces parity constraints. No explicit new constants or ratios appear in the search results — only claims of "1000× better" (marketing, not math). | CONNECTION: The √2 quantum dimension is the same as the ratio of the diagonal to the side of a square — a crystallographic root system A1×A1 (square lattice) invariant. Ising anyons are tied to the SU(2)_2 Chern-Simons theory, whose level k=2 relates to the golden ratio only indirectly (Fi
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com