Magic State Factory Catalog

[\![79,\,13,\,3]\!]

One factory with n=79 inputs, k=13 outputs and distance d=3.

Inequivalent gates at [[79, 13, 3]]. 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}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \mathrm{T}_{10}\cdot \mathrm{T}_{11}\cdot \mathrm{T}_{12} pure T1.64320d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![87,\,13,\,3]\!] · [\![88,\,13,\,3]\!] · [\![91,\,13,\,3]\!] · [\![95,\,13,\,3]\!] · [\![96,\,13,\,3]\!] · [\![99,\,13,\,3]\!] · [\![100,\,13,\,3]\!]