Magic State Factory Catalog

[\![2606,\,10,\,2]\!]

One factory with n=2606 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[2606, 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—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2667,\,10,\,2]\!] · [\![2668,\,10,\,2]\!] · [\![2526,\,10,\,2]\!] · [\![2805,\,10,\,2]\!] · [\![2394,\,10,\,2]\!] · [\![3060,\,10,\,2]\!] · [\![1996,\,10,\,2]\!] · [\![1966,\,10,\,2]\!] · [\![1965,\,10,\,2]\!] · [\![3315,\,10,\,2]\!] · [\![1782,\,10,\,2]\!] · [\![1736,\,10,\,2]\!]