Magic State Factory Catalog

[\![37,\,2,\,3]\!]

One factory with n=37 inputs, k=2 outputs and distance d=3.

Inequivalent gates at [[37, 2, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{CS}_{01}—10d = 3Wills et al. (2026); Jain et al. (2026)

Nearest lengths with the same k and d: [\![36,\,2,\,3]\!] · [\![38,\,2,\,3]\!] · [\![35,\,2,\,3]\!] · [\![39,\,2,\,3]\!] · [\![34,\,2,\,3]\!] · [\![40,\,2,\,3]\!] · [\![32,\,2,\,3]\!] · [\![42,\,2,\,3]\!] · [\![31,\,2,\,3]\!] · [\![43,\,2,\,3]\!] · [\![30,\,2,\,3]\!] · [\![44,\,2,\,3]\!]