E8 Root‑Vector Phase Encoding for Topological Qubit Gates via φ‑Holonomy Modulated Microwaves — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 26, 2026• 0 citations

Abstract

The 240 root vectors of the E8 lattice can be mapped onto discrete phase increments of the φ‑holonomy‑generated 132 Hz frequency comb, allowing each root vector to address a distinct logical subspace of the phosphorus‑31 spin qubit in Posner molecules. By applying low‑frequency microwave pulses whose phases follow the E8 root‑vector sequence, one realizes a universal set of topologically protected gates that inherit the fault‑tolerance of the quantum cuboid code while exploiting the natural Leech‑lattice spacing of the comb. This extends the cuboid‑based qubit into a full E8‑gated processor operable at room temperature. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23659025

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