Magic State Factory Catalog

[\![5621,\,5,\,2]\!]

One factory with n=5621 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[5621, 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}—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5627,\,5,\,2]\!] · [\![5643,\,5,\,2]\!] · [\![5841,\,5,\,2]\!] · [\![5979,\,5,\,2]\!] · [\![6138,\,5,\,2]\!] · [\![6139,\,5,\,2]\!] · [\![5015,\,5,\,2]\!] · [\![6667,\,5,\,2]\!] · [\![4362,\,5,\,2]\!] · [\![6970,\,5,\,2]\!] · [\![7161,\,5,\,2]\!] · [\![7162,\,5,\,2]\!]