Magic State Factory Catalog

[\![23,\,1,\,3]\!]

One factory with n=23 inputs, k=1 output and distance d=3.

Inequivalent gates at [[23, 1, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0} pure T2.8547d = 3Wills et al. (2026); Jain et al. (2026)

Nearest lengths with the same k and d: [\![27,\,1,\,3]\!] · [\![28,\,1,\,3]\!] · [\![29,\,1,\,3]\!] · [\![30,\,1,\,3]\!] · [\![15,\,1,\,3]\!] · [\![31,\,1,\,3]\!] · [\![32,\,1,\,3]\!] · [\![33,\,1,\,3]\!] · [\![34,\,1,\,3]\!] · [\![35,\,1,\,3]\!] · [\![36,\,1,\,3]\!] · [\![37,\,1,\,3]\!]