Magic State Factory Catalog

[\![16637,\,10,\,2]\!]

One factory with n=16637 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[16637, 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—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![16638,\,10,\,2]\!] · [\![14280,\,10,\,2]\!] · [\![14214,\,10,\,2]\!] · [\![14134,\,10,\,2]\!] · [\![13923,\,10,\,2]\!] · [\![20998,\,10,\,2]\!] · [\![12173,\,10,\,2]\!] · [\![21546,\,10,\,2]\!] · [\![21758,\,10,\,2]\!] · [\![11436,\,10,\,2]\!] · [\![10814,\,10,\,2]\!] · [\![10602,\,10,\,2]\!]