Magic State Factory Catalog

[\![48636,\,10,\,2]\!]

One factory with n=48636 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[48636, 10, 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}_{018}\cdot \mathrm{CCZ}_{019}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{027}\cdot \mathrm{CCZ}_{028}\cdot \mathrm{CCZ}_{029}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{03}\cdots 120 terms—18d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![43646,\,10,\,2]\!] · [\![43434,\,10,\,2]\!] · [\![56355,\,10,\,2]\!] · [\![33405,\,10,\,2]\!] · [\![28278,\,10,\,2]\!] · [\![28067,\,10,\,2]\!] · [\![24308,\,10,\,2]\!] · [\![21758,\,10,\,2]\!] · [\![21546,\,10,\,2]\!] · [\![20998,\,10,\,2]\!] · [\![16638,\,10,\,2]\!] · [\![16637,\,10,\,2]\!]