Majorana 1: Ising Anyons and the Unconfirmed Braid — E8 Intelligence Research

FINDING: Microsoft's Majorana 1 chip claims topological qubit hardware based on Majorana zero modes, but the mathematical core is the non-Abelian braiding statistics of Ising anyons — not yet experimentally confirmed at scale. | MATH: Topological qubits encode information in the degenerate ground-state manifold of a 2D p-wave superconductor. The braid group \( B_n \) acts on this space via unitary representations. For Ising anyons, the fusion rule is \( \sigma \times \sigma = 1 + \psi \), with quantum dimension \( d_\sigma = \sqrt{2} \). The braid matrices are \( R \)-matrices satisfying the Yang–Baxter equation \( R_{12}R_{13}R_{23} = R_{23}R_{13}R_{12} \). The topological charge is \( e^{i\pi/8} \) for the \( \sigma \) particle. Key constant: the Fibonacci anyon (if used instead) has golden-ratio quantum dimension \( d_\tau = \phi = (1+\sqrt{5})/2 \approx 1.618 \). | CONNECTION: The Ising anyon's \( \sqrt{2} \) quantum dimension links to the square lattice and \( D_4 \) root system ( Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com