Magic State Factory Catalog

[\![45,\,3,\,3]\!]

One factory with n=45 inputs, k=3 outputs and distance d=3.

Inequivalent gates at [[45, 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 T2.46511d = 3Wills et al. (2026); Jain et al. (2026)

Nearest lengths with the same k and d: [\![44,\,3,\,3]\!] · [\![43,\,3,\,3]\!] · [\![47,\,3,\,3]\!] · [\![48,\,3,\,3]\!] · [\![49,\,3,\,3]\!] · [\![40,\,3,\,3]\!] · [\![39,\,3,\,3]\!] · [\![51,\,3,\,3]\!] · [\![38,\,3,\,3]\!] · [\![52,\,3,\,3]\!] · [\![37,\,3,\,3]\!] · [\![53,\,3,\,3]\!]