Magic State Factory Catalog

[\![32760,\,6,\,2]\!]

One factory with n=32760 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[32760, 6, 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}_{04}\cdot \mathrm{CS}_{05}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{45}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdots 35 terms—18d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![32884,\,6,\,2]\!] · [\![34036,\,6,\,2]\!] · [\![28665,\,6,\,2]\!] · [\![26612,\,6,\,2]\!] · [\![26611,\,6,\,2]\!] · [\![24658,\,6,\,2]\!] · [\![24322,\,6,\,2]\!] · [\![22522,\,6,\,2]\!] · [\![22506,\,6,\,2]\!] · [\![22330,\,6,\,2]\!] · [\![45034,\,6,\,2]\!] · [\![45050,\,6,\,2]\!]