Magic State Factory Catalog

[\![4088,\,4,\,2]\!]

One factory with n=4088 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[4088, 4, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{123}—13d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![4028,\,4,\,2]\!] · [\![4599,\,4,\,2]\!] · [\![4600,\,4,\,2]\!] · [\![4620,\,4,\,2]\!] · [\![4988,\,4,\,2]\!] · [\![5016,\,4,\,2]\!] · [\![3068,\,4,\,2]\!] · [\![3066,\,4,\,2]\!] · [\![5115,\,4,\,2]\!] · [\![5116,\,4,\,2]\!] · [\![3036,\,4,\,2]\!] · [\![3004,\,4,\,2]\!]