Magic State Factory Catalog

[\![24570,\,4,\,2]\!]

One factory with n=24570 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[24570, 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}—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![24572,\,4,\,2]\!] · [\![24444,\,4,\,2]\!] · [\![24324,\,4,\,2]\!] · [\![26044,\,4,\,2]\!] · [\![20476,\,4,\,2]\!] · [\![20475,\,4,\,2]\!] · [\![20412,\,4,\,2]\!] · [\![18424,\,4,\,2]\!] · [\![18423,\,4,\,2]\!] · [\![18396,\,4,\,2]\!] · [\![16380,\,4,\,2]\!] · [\![32760,\,4,\,2]\!]