One generation of the Standard Model as a quantum error-correcting code

The paper shows that anomaly cancellation in SO(10) grand unification creates a combinatorial structure equivalent to quantum error-correcting codes, specifically triorthogonal codes. Removing the right-handed neutrino yields a [[15, 1, 3]]p code for prime p. This mathematical structure is linked to magic state distillation and provides insights into the physical meaning of Standard Model fields.

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