Magic State Factory Catalog

[\![1575,\,12,\,2]\!]

One factory with n=1575 inputs, k=12 outputs and distance d=2.

Inequivalent gates at [[1575, 12, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{0,1,2}\cdot \mathrm{CCZ}_{0,1,3}\cdot \mathrm{CCZ}_{0,1,4}\cdot \mathrm{CCZ}_{0,1,5}\cdot \mathrm{CCZ}_{0,1,6}\cdot \mathrm{CCZ}_{0,1,7}\cdot \mathrm{CCZ}_{0,1,8}\cdot \mathrm{CCZ}_{0,1,9}\cdot \mathrm{CCZ}_{0,1,10}\cdot \mathrm{CCZ}_{0,1,11}\cdot \mathrm{CCZ}_{0,2,3}\cdot \mathrm{CCZ}_{0,2,4}\cdot \mathrm{CCZ}_{0,2,}\cdots 220 terms—18d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1252,\,12,\,2]\!] · [\![1185,\,12,\,2]\!] · [\![882,\,12,\,2]\!] · [\![819,\,12,\,2]\!] · [\![776,\,12,\,2]\!] · [\![775,\,12,\,2]\!] · [\![2449,\,12,\,2]\!] · [\![2516,\,12,\,2]\!] · [\![564,\,12,\,2]\!] · [\![436,\,12,\,2]\!] · [\![434,\,12,\,2]\!] · [\![404,\,12,\,2]\!]