Magic State Factory Catalog

[\![528,\,8,\,2]\!]

One factory with n=528 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[528, 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—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![527,\,8,\,2]\!] · [\![532,\,8,\,2]\!] · [\![555,\,8,\,2]\!] · [\![567,\,8,\,2]\!] · [\![568,\,8,\,2]\!] · [\![584,\,8,\,2]\!] · [\![630,\,8,\,2]\!] · [\![632,\,8,\,2]\!] · [\![400,\,8,\,2]\!] · [\![696,\,8,\,2]\!] · [\![336,\,8,\,2]\!] · [\![720,\,8,\,2]\!]