Magic State Factory Catalog

[\![2004,\,6,\,2]\!]

One factory with n=2004 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[2004, 6, 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}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{035}\cdot \mathrm{CCZ}_{045}\cdot \mathrm{CCZ}_{123}\cdot \mathrm{CCZ}_{124}\cdot \mathrm{CCZ}_{125}\cdot \mathrm{CCZ}_{134}\cdot \mathrm{CCZ}_{135}\cdot \mathrm{CCZ}_{145}\cdot \mathrm{CCZ}_{23}\cdots 20 terms—13d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2010,\,6,\,2]\!] · [\![2036,\,6,\,2]\!] · [\![2040,\,6,\,2]\!] · [\![2042,\,6,\,2]\!] · [\![1802,\,6,\,2]\!] · [\![1786,\,6,\,2]\!] · [\![1785,\,6,\,2]\!] · [\![1756,\,6,\,2]\!] · [\![1652,\,6,\,2]\!] · [\![1651,\,6,\,2]\!] · [\![1450,\,6,\,2]\!] · [\![1402,\,6,\,2]\!]