Magic State Factory Catalog

[\![5481,\,8,\,2]\!]

One factory with n=5481 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[5481, 8, 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{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{05}\cdot \mathrm{CS}_{06}\cdot \mathrm{CS}_{07}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{16}\cdot \mathrm{CS}_{17}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{26}\cdot \mathrm{CS}_{27}\cdot \mathrm{CS}_{3}\cdots 36 terms—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5552,\,8,\,2]\!] · [\![5560,\,8,\,2]\!] · [\![5112,\,8,\,2]\!] · [\![5110,\,8,\,2]\!] · [\![5012,\,8,\,2]\!] · [\![4728,\,8,\,2]\!] · [\![4699,\,8,\,2]\!] · [\![4600,\,8,\,2]\!] · [\![4599,\,8,\,2]\!] · [\![4576,\,8,\,2]\!] · [\![4360,\,8,\,2]\!] · [\![4336,\,8,\,2]\!]