Magic State Factory Catalog

[\![12,\,5,\,2]\!]

One factory with n=12 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[12, 5, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{134}—6d = 2Campbell & Howard (2017)

Nearest lengths with the same k and d: [\![16,\,5,\,2]\!] · [\![18,\,5,\,2]\!] · [\![20,\,5,\,2]\!] · [\![22,\,5,\,2]\!] · [\![26,\,5,\,2]\!] · [\![30,\,5,\,2]\!] · [\![42,\,5,\,2]\!] · [\![43,\,5,\,2]\!] · [\![58,\,5,\,2]\!] · [\![61,\,5,\,2]\!] · [\![87,\,5,\,2]\!] · [\![90,\,5,\,2]\!]