Magic State Factory Catalog

[\![67,\,6,\,3]\!]

One factory with n=67 inputs, k=6 outputs and distance d=3.

Inequivalent gates at [[67, 6, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{CCZ}_{345}2.36213d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![66,\,6,\,3]\!] · [\![68,\,6,\,3]\!] · [\![70,\,6,\,3]\!] · [\![63,\,6,\,3]\!] · [\![71,\,6,\,3]\!] · [\![62,\,6,\,3]\!] · [\![60,\,6,\,3]\!] · [\![74,\,6,\,3]\!] · [\![59,\,6,\,3]\!] · [\![75,\,6,\,3]\!] · [\![58,\,6,\,3]\!] · [\![56,\,6,\,3]\!]