Magic State Factory Catalog

[\![8687,\,8,\,2]\!]

One factory with n=8687 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[8687, 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—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![8688,\,8,\,2]\!] · [\![9032,\,8,\,2]\!] · [\![9207,\,8,\,2]\!] · [\![9435,\,8,\,2]\!] · [\![9464,\,8,\,2]\!] · [\![10230,\,8,\,2]\!] · [\![11049,\,8,\,2]\!] · [\![11120,\,8,\,2]\!] · [\![11448,\,8,\,2]\!] · [\![11696,\,8,\,2]\!] · [\![5560,\,8,\,2]\!] · [\![5552,\,8,\,2]\!]