Magic State Factory Catalog

[\![75,\,4,\,3]\!]

One factory with n=75 inputs, k=4 outputs and distance d=3.

Inequivalent gates at [[75, 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}2.93011d = 3Jain et al. (2026)

Same n and k at other distances: [\![75,\,4,\,2]\!]
Nearest lengths with the same k and d: [\![71,\,4,\,3]\!] · [\![68,\,4,\,3]\!] · [\![67,\,4,\,3]\!] · [\![83,\,4,\,3]\!] · [\![66,\,4,\,3]\!] · [\![64,\,4,\,3]\!] · [\![63,\,4,\,3]\!] · [\![62,\,4,\,3]\!] · [\![60,\,4,\,3]\!] · [\![59,\,4,\,3]\!] · [\![91,\,4,\,3]\!] · [\![58,\,4,\,3]\!]