Magic State Factory Catalog

[\![8184,\,4,\,2]\!]

One factory with n=8184 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[8184, 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}—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![8124,\,4,\,2]\!] · [\![7164,\,4,\,2]\!] · [\![9207,\,4,\,2]\!] · [\![9208,\,4,\,2]\!] · [\![9212,\,4,\,2]\!] · [\![10076,\,4,\,2]\!] · [\![6140,\,4,\,2]\!] · [\![6138,\,4,\,2]\!] · [\![10235,\,4,\,2]\!] · [\![10236,\,4,\,2]\!] · [\![6012,\,4,\,2]\!] · [\![5908,\,4,\,2]\!]