Magic State Factory Catalog

[\![57,\,5,\,3]\!]

One factory with n=57 inputs, k=5 outputs and distance d=3.

Inequivalent gates at [[57, 5, 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{T}_{3}\cdot \mathrm{T}_{4} pure T2.21513d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![55,\,5,\,3]\!] · [\![59,\,5,\,3]\!] · [\![60,\,5,\,3]\!] · [\![53,\,5,\,3]\!] · [\![52,\,5,\,3]\!] · [\![51,\,5,\,3]\!] · [\![63,\,5,\,3]\!] · [\![65,\,5,\,3]\!] · [\![48,\,5,\,3]\!] · [\![47,\,5,\,3]\!] · [\![67,\,5,\,3]\!] · [\![68,\,5,\,3]\!]