Magic State Factory Catalog

[\![341,\,5,\,2]\!]

One factory with n=341 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[341, 5, 2]]. 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{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{34}—10d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![343,\,5,\,2]\!] · [\![347,\,5,\,2]\!] · [\![378,\,5,\,2]\!] · [\![379,\,5,\,2]\!] · [\![266,\,5,\,2]\!] · [\![419,\,5,\,2]\!] · [\![245,\,5,\,2]\!] · [\![441,\,5,\,2]\!] · [\![442,\,5,\,2]\!] · [\![238,\,5,\,2]\!] · [\![227,\,5,\,2]\!] · [\![218,\,5,\,2]\!]