Magic State Factory Catalog

[\![4521,\,7,\,2]\!]

One factory with n=4521 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[4521, 7, 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} pure T9.33518d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![4519,\,7,\,2]\!] · [\![4599,\,7,\,2]\!] · [\![4600,\,7,\,2]\!] · [\![4089,\,7,\,2]\!] · [\![4088,\,7,\,2]\!] · [\![5013,\,7,\,2]\!] · [\![3993,\,7,\,2]\!] · [\![3833,\,7,\,2]\!] · [\![3825,\,7,\,2]\!] · [\![3737,\,7,\,2]\!] · [\![5588,\,7,\,2]\!] · [\![5624,\,7,\,2]\!]