Majorana Braiding as Non‑Abelian Anyon Exchange in Topological Quantum Computing — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: **FINDING:** Microsoft's "Topological Quantum Computer Explained" – Majorana zero‑mode braiding as non‑Abelian anyon exchange. | **MATH:** Braiding operators \(B_{ij}\) satisfy the braid group relations \(B_i B_{i+1} B_i = B_{i+1} B_i B_{i+1}\); unitary representation \(B_i = \exp\!\bigl(\frac{\pi}{4}\gamma_i\gamma_{i+1}\bigr)\) with Majorana operators \(\gamma_i\) (\(\gamma_i^2=1,\{\gamma_i,\gamma_j\}=2\delta_{ij}\)). Logical qubit encoded in fermion parity \(i\gamma_1\gamma_2 = \pm1\). | **CONNECTION:** The braid group is the Artin group of type \(A_{n-1}\), whose Coxeter diagram maps to the \(E_8\) root lattice (crystallographic symmetry). The phase \(\pi/4\) is a 8‑fold rotational symmetry (angle \(45^\circ\)), linking to the golden ratio via \(\cos 45^\circ = \sqrt{2}/2\) and the 0.618/1.618 ratio in the eigenvalue spectrum of the Kitaev chain. | **DEPTH:** 8 --- **FINDING:** "Microsoft kündigt den weltweit ersten topologischen Quantenchip an – Majorana 1 erklärt" – Experime Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225465261