Magic State Factory Catalog

[\![34,\,1,\,3]\!]

One factory with n=34 inputs, k=1 output and distance d=3.

Inequivalent gates at [[34, 1, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0} pure T3.2109d = 3Wills et al. (2026); Jain et al. (2026)

Nearest lengths with the same k and d: [\![33,\,1,\,3]\!] · [\![35,\,1,\,3]\!] · [\![32,\,1,\,3]\!] · [\![36,\,1,\,3]\!] · [\![31,\,1,\,3]\!] · [\![37,\,1,\,3]\!] · [\![30,\,1,\,3]\!] · [\![38,\,1,\,3]\!] · [\![29,\,1,\,3]\!] · [\![39,\,1,\,3]\!] · [\![28,\,1,\,3]\!] · [\![40,\,1,\,3]\!]