Magic State Factory Catalog

[\![32760,\,4,\,2]\!]

One factory with n=32760 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[32760, 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}—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![32892,\,4,\,2]\!] · [\![36796,\,4,\,2]\!] · [\![36855,\,4,\,2]\!] · [\![36856,\,4,\,2]\!] · [\![26044,\,4,\,2]\!] · [\![24572,\,4,\,2]\!] · [\![24570,\,4,\,2]\!] · [\![40955,\,4,\,2]\!] · [\![40956,\,4,\,2]\!] · [\![24444,\,4,\,2]\!] · [\![24324,\,4,\,2]\!] · [\![20476,\,4,\,2]\!]