Magic State Factory Catalog

[\![42,\,2,\,3]\!]

One factory with n=42 inputs, k=2 outputs and distance d=3.

Inequivalent gates at [[42, 2, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1} pure T2.77112d = 3Wills et al. (2026); Jain et al. (2026)

Nearest lengths with the same k and d: [\![43,\,2,\,3]\!] · [\![40,\,2,\,3]\!] · [\![44,\,2,\,3]\!] · [\![39,\,2,\,3]\!] · [\![45,\,2,\,3]\!] · [\![38,\,2,\,3]\!] · [\![46,\,2,\,3]\!] · [\![37,\,2,\,3]\!] · [\![47,\,2,\,3]\!] · [\![36,\,2,\,3]\!] · [\![48,\,2,\,3]\!] · [\![35,\,2,\,3]\!]