Magic State Factory Catalog

[\![67,\,4,\,3]\!]

One factory with n=67 inputs, k=4 outputs and distance d=3.

Inequivalent gates at [[67, 4, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{CS}_{23}2.82711d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![66,\,4,\,3]\!] · [\![68,\,4,\,3]\!] · [\![64,\,4,\,3]\!] · [\![63,\,4,\,3]\!] · [\![71,\,4,\,3]\!] · [\![62,\,4,\,3]\!] · [\![60,\,4,\,3]\!] · [\![59,\,4,\,3]\!] · [\![75,\,4,\,3]\!] · [\![58,\,4,\,3]\!] · [\![56,\,4,\,3]\!] · [\![55,\,4,\,3]\!]