Magic State Factory Catalog

[\![5552,\,8,\,2]\!]

One factory with n=5552 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[5552, 8, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{016}\cdot \mathrm{CCZ}_{017}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{027}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{035}\cdot \mathrm{CCZ}_{036}\cdot \mathrm{CCZ}_{037}\cdot \mathrm{CCZ}_{045}\cdot \mathrm{CCZ}_{04}\cdots 56 terms—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5560,\,8,\,2]\!] · [\![5481,\,8,\,2]\!] · [\![5112,\,8,\,2]\!] · [\![5110,\,8,\,2]\!] · [\![5012,\,8,\,2]\!] · [\![4728,\,8,\,2]\!] · [\![4699,\,8,\,2]\!] · [\![4600,\,8,\,2]\!] · [\![4599,\,8,\,2]\!] · [\![4576,\,8,\,2]\!] · [\![4360,\,8,\,2]\!] · [\![4336,\,8,\,2]\!]