Magic State Factory Catalog

[\![52,\,1,\,3]\!]

One factory with n=52 inputs, k=1 output and distance d=3.

Inequivalent gates at [[52, 1, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0} pure T3.5978d = 3Wills et al. (2026); Jain et al. (2026)

Same n and k at other distances: [\![52,\,1,\,4]\!]
Nearest lengths with the same k and d: [\![51,\,1,\,3]\!] · [\![48,\,1,\,3]\!] · [\![47,\,1,\,3]\!] · [\![46,\,1,\,3]\!] · [\![45,\,1,\,3]\!] · [\![44,\,1,\,3]\!] · [\![43,\,1,\,3]\!] · [\![41,\,1,\,3]\!] · [\![63,\,1,\,3]\!] · [\![40,\,1,\,3]\!] · [\![39,\,1,\,3]\!] · [\![65,\,1,\,3]\!]