Magic State Factory Catalog

[\![127,\,5,\,5]\!]

One factory with n=127 inputs, k=5 outputs and distance d=5.

Inequivalent gates at [[127, 5, 5]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4} pure T2.01019d = 5Jain et al. (2026)

Nearest lengths with the same k and d: [\![176,\,5,\,5]\!] · [\![255,\,5,\,5]\!] · [\![511,\,5,\,5]\!] · [\![1023,\,5,\,5]\!]