One generation of the Standard Model as a quantum error-correcting code
A preprint identifies the 16 fermion states of one Standard Model generation, including a right-handed neutrino, with five-bit labels and connects anomaly cancellation to the vanishing of a cubic form. That same cubic condition defines triorthogonal quantum error-correcting codes, the codes used for magic state distillation.
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What this could mean
- 0–2 yearsSpeculative
This correspondence could motivate explicit numerical searches for triorthogonal codes whose generators are derived from Standard Model fermion labelings, potentially yielding new magic state distillation protocols.
The paper reduces anomaly cancellation to a cubic condition that is computationally easy to check; if the five-bit fermion labels define a code with useful distance, existing numerical search methods for triorthogonal spaces could turn the mapping into concrete stabilizer codes quickly. The main uncertainty is whether the resulting code parameters improve on known distillation routines.
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