Magic State Factory Catalog

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

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

Inequivalent gates at [[57, 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 T2.68011d = 3Shi et al. (2024)

Same n and k at other distances: [\![57,\,3,\,2]\!]
Nearest lengths with the same k and d: [\![55,\,3,\,3]\!] · [\![53,\,3,\,3]\!] · [\![61,\,3,\,3]\!] · [\![52,\,3,\,3]\!] · [\![51,\,3,\,3]\!] · [\![63,\,3,\,3]\!] · [\![49,\,3,\,3]\!] · [\![48,\,3,\,3]\!] · [\![47,\,3,\,3]\!] · [\![45,\,3,\,3]\!] · [\![44,\,3,\,3]\!] · [\![43,\,3,\,3]\!]