Magic State Factory Catalog

[\![762,\,4,\,2]\!]

One factory with n=762 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[762, 4, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{23}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{123}—11d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![764,\,4,\,2]\!] · [\![726,\,4,\,2]\!] · [\![724,\,4,\,2]\!] · [\![812,\,4,\,2]\!] · [\![676,\,4,\,2]\!] · [\![636,\,4,\,2]\!] · [\![635,\,4,\,2]\!] · [\![572,\,4,\,2]\!] · [\![568,\,4,\,2]\!] · [\![567,\,4,\,2]\!] · [\![524,\,4,\,2]\!] · [\![1016,\,4,\,2]\!]