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

2026-10-16 · arXiv Quantum Physics

arXiv:2610.21879v1 Announce Type: cross

Abstract: Together with a right-handed neutrino, the fermions of one generation of the Standard Model are labelled by five bits, a combinatorial structure tied to anomaly cancellation. We make this precise. Anomaly cancellation is the vanishing of a cubic form, the defining property of triorthogonal codes, the quantum error-correcting codes behind magic state distillation. Removing the right-handed neutrino gives a $[[15,1,3]]_p$ code for every prime $p$, including the Bravyi-Kitaev code for $p = 2$. For qutrits it is the unique shortest distance-three triorthogonal code.

原文链接：https://arxiv.org/abs/2610.21879

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