Magic State Factory Catalog

[\![65528,\,4,\,2]\!]

One factory with n=65528 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[65528, 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}—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![65788,\,4,\,2]\!] · [\![73719,\,4,\,2]\!] · [\![73720,\,4,\,2]\!] · [\![49148,\,4,\,2]\!] · [\![49146,\,4,\,2]\!] · [\![81915,\,4,\,2]\!] · [\![48652,\,4,\,2]\!] · [\![40956,\,4,\,2]\!] · [\![40955,\,4,\,2]\!] · [\![36856,\,4,\,2]\!] · [\![36855,\,4,\,2]\!] · [\![36796,\,4,\,2]\!]