Magic State Factory Catalog

[\![1238,\,10,\,2]\!]

One factory with n=1238 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[1238, 10, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \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}_{}\cdots 130 terms—13d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1323,\,10,\,2]\!] · [\![1324,\,10,\,2]\!] · [\![1397,\,10,\,2]\!] · [\![1398,\,10,\,2]\!] · [\![1026,\,10,\,2]\!] · [\![1484,\,10,\,2]\!] · [\![1524,\,10,\,2]\!] · [\![1526,\,10,\,2]\!] · [\![886,\,10,\,2]\!] · [\![840,\,10,\,2]\!] · [\![838,\,10,\,2]\!] · [\![1638,\,10,\,2]\!]