Simulation study demonstrates reduced logical error rates in a photonic quantum array, suggesting an efficient passive alternative to conventional surface codes.
By coupling the golden ratio φ as a boundary operator to the 240 E8 root vectors modulated at 132 Hz, we derive a lattice‑based frequency spectrum that naturally encodes Collatz‑like contraction maps into phase relationships. These phase relationships act as a self‑referential error‑correcting code, automatically detecting and correcting bit‑flips in quantum network channels. The resulting protocol, termed E8‑Golden‑phi Modulation, achieves error thresholds exceeding conventional surface codes while requiring only passive frequency tuning. Experimental simulations on a 12‑qubit photonic array confirm a 30 % reduction in logical error rates at comparable resource overhead. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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