Microsoft Majorana 1: Scalable Topological Qubits Await Braiding Confirmation — E8 Intelligence Research

FINDING: Microsoft's Majorana 1 chip claims the first scalable topological qubit architecture, using Majorana zero modes (MZMs) in InAs-Al heterostructures — but peer-reviewed confirmation of non-Abelian braiding statistics remains outstanding. | MATH: Key objects: (1) Majorana operators γ_i satisfying γ_i† = γ_i and {γ_i, γ_j} = 2δ_ij (Clifford algebra Cl(2n)); (2) A pair of MZMs at wire ends encodes one fermionic mode via c = (γ_1 + iγ_2)/2, giving a 2-dimensional degenerate ground-state subspace per pair; (3) Braiding implements unitary U = exp(iπ γ_i γ_j /4) = (1 + γ_i γ_j)/√2 — a Clifford gate, not universal alone; (4) Topological gap Δ ~ 250 μK reported; (5) Nanowire length L ≫ ξ (coherence length) required for MZM isolation; (6) Topological invariant: Pfaffian ν = sgn[Pf(H(k=0)) · Pf(H(k=π))] ∈ {±1} (Kitaev chain Z₂ classification). | CONNECTION: The braiding unitary (1 + γ_i γ_j)/√2 is structurally identical to the golden-ratio rotation generator in SU(2) at the special angle θ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com