Magic State Factory Catalog

[\![48,\,2,\,3]\!]

One factory with n=48 inputs, k=2 outputs and distance d=3.

Inequivalent gates at [[48, 2, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1} pure T2.89314d = 3Wills et al. (2026); Jain et al. (2026)

Same n and k at other distances: [\![48,\,2,\,4]\!]
Nearest lengths with the same k and d: [\![47,\,2,\,3]\!] · [\![46,\,2,\,3]\!] · [\![45,\,2,\,3]\!] · [\![51,\,2,\,3]\!] · [\![44,\,2,\,3]\!] · [\![52,\,2,\,3]\!] · [\![43,\,2,\,3]\!] · [\![42,\,2,\,3]\!] · [\![54,\,2,\,3]\!] · [\![40,\,2,\,3]\!] · [\![56,\,2,\,3]\!] · [\![39,\,2,\,3]\!]