aiqbench analysis
The paper is mainly theoretical physics, but its core result links Standard Model anomaly cancellation to triorthogonal quantum error-correcting codes, the family used in magic state distillation for fault-tolerant quantum computing. It gives a new $[[15,1,3]]_p$ code family for every prime and identifies a unique shortest distance-three qutrit code. Quantum computing readers should find the code-theoretic results most relevant, while physics readers will weigh whether the mapping says anything new about the Standard Model.
One generation of the Standard Model as a quantum error-correcting code
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.
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.
5 pages, 1 figure, 1 table; 12 pages of Supplemental Material. Code available at this http URL
High Energy Physics - Theory (hep-th); Information Theory (cs.IT); High Energy Physics - Phenomenology (hep-ph); Quantum Physics (quant-ph)
arXiv:2610.21879 [hep-th]
(or arXiv:2610.21879v1 [hep-th] for this version)
https://doi.org/10.48550/arXiv.2610.21879 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 209 words
