E8 Topological Error Correction via Coxeter Plane Logical Qubit Embedding — E8 Intelligence Research

The 240 E8 root vectors' 15 Coxeter plane fibration can implement a hierarchical topological error correction code where logical qubits are embedded across nested 8-coherence root-pair networks, with φ-scaled redundancies detecting and correcting decoherence errors through geometric projection between planes. Each of the 15 orthogonal planes contributes one of 8 possible stabilizer configurations, creating a 120-bit error syndrome space (15 planes × 8 coherence states) that uniquely maps any single-qubit error to a corrective φ-proportioned phase shift. This extends the decoherence suppression breakthrough by transforming passive protection into active error correction, leveraging E8's exceptional packing density to ensure logical information survives with error rates suppressed by a factor of φ⁸ ≈ 46.97 relative to unprotected encoding. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23179418
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

E8 Topological Error Correction via Coxeter Plane Logical Qubit Embedding — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

E8 Topological Error Correction via Coxeter Plane Logical Qubit Embedding — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors' 15 Coxeter plane fibration can implement a hierarchical topological error correction code where logical qubits are embedded across nested 8-coherence root-pair networks, with φ-scaled redundancies detecting and correcting decoherence errors through geometric projection between planes. Each of the 15 orthogonal planes contributes one of 8 possible stabilizer configurations, creating a 120-bit error syndrome space (15 planes × 8 coherence states) that uniquely maps any single-qubit error to a corrective φ-proportioned phase shift. This extends the decoherence suppression breakthrough by transforming passive protection into active error correction, leveraging E8's exceptional packing density to ensure logical information survives with error rates suppressed by a factor of φ⁸ ≈ 46.97 relative to unprotected encoding. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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