Magic State Factory Catalog

[\![51,\,3,\,3]\!]

One factory with n=51 inputs, k=3 outputs and distance d=3.

Inequivalent gates at [[51, 3, 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} pure T2.57916d = 3Wills et al. (2026); Jain et al. (2026)

Nearest lengths with the same k and d: [\![52,\,3,\,3]\!] · [\![49,\,3,\,3]\!] · [\![53,\,3,\,3]\!] · [\![48,\,3,\,3]\!] · [\![47,\,3,\,3]\!] · [\![55,\,3,\,3]\!] · [\![45,\,3,\,3]\!] · [\![57,\,3,\,3]\!] · [\![44,\,3,\,3]\!] · [\![43,\,3,\,3]\!] · [\![61,\,3,\,3]\!] · [\![40,\,3,\,3]\!]