Fibonacci Anyon Braiding Gates via Josephson Vortex Readout — E8 Intelligence Research

FINDING: Anyon topological qubits are realized via braiding operations in modular tensor categories, with interferometric readout achievable through Josephson vortex dynamics rather than Abrikosov cores. | MATH: Fibonacci anyon braiding gates: single-qubit gate set compiled from braid words in the Fibonacci anyon model, where the fusion space dimension grows as Fibonacci numbers \(F_{n}\) (golden ratio \(\phi = (1+\sqrt{5})/2 \approx 1.618\)); anyon condensation described by modular tensor category inclusion \(C \to D\) with a commutative algebra object \(A \in C\); Chern–Simons term \(S_{CS} = \frac{k}{4\pi}\int A \wedge dA\) with level \(k\) determining anyonic statistics \(\theta = \pi/k\); flux qubit readout maps anyonic braid to Josephson phase \(\varphi\) with quantum interference condition \(\Delta \varphi = 2\pi n\). | CONNECTION: Fibonacci anyons directly encode the golden ratio \(\phi = 1.618\) and its inverse \(1/\phi = 0.618\) in the fusion rules \(\tau \otimes \tau = 1 \op Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com