Magic State Factory Catalog

[\![30,\,1,\,2]\!]

One factory with n=30 inputs, k=1 output and distance d=2.

Inequivalent gates at [[30, 1, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0} pure T4.9075d = 2Singh et al. (2026)

Same n and k at other distances: [\![30,\,1,\,3]\!]
Nearest lengths with the same k and d: [\![14,\,1,\,2]\!] · [\![62,\,1,\,2]\!] · [\![126,\,1,\,2]\!] · [\![254,\,1,\,2]\!] · [\![510,\,1,\,2]\!] · [\![1022,\,1,\,2]\!] · [\![2046,\,1,\,2]\!] · [\![4094,\,1,\,2]\!] · [\![8190,\,1,\,2]\!] · [\![16382,\,1,\,2]\!] · [\![32766,\,1,\,2]\!] · [\![65534,\,1,\,2]\!]