E8 Root‑Vector Phase Encoding for Topological Qubit Gates via φ‑Holonomy Modulated Microwaves — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026rootvector,
title = {{E8 Root‑Vector Phase Encoding for Topological Qubit Gates via φ‑Holonomy Modulated Microwaves — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23659026},
url = {https://zenodo.org/records/23659026},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Root‑Vector Phase Encoding for Topological Qubit Gates via φ‑Holonomy Modulated Microwaves — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23659026
UR - https://zenodo.org/records/23659026
AB - 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
ER -