Magic State Factory Catalog

[\![4061,\,10,\,2]\!]

One factory with n=4061 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[4061, 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—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![4062,\,10,\,2]\!] · [\![3738,\,10,\,2]\!] · [\![3654,\,10,\,2]\!] · [\![3574,\,10,\,2]\!] · [\![3528,\,10,\,2]\!] · [\![3526,\,10,\,2]\!] · [\![4622,\,10,\,2]\!] · [\![3315,\,10,\,2]\!] · [\![5000,\,10,\,2]\!] · [\![3060,\,10,\,2]\!] · [\![5130,\,10,\,2]\!] · [\![2805,\,10,\,2]\!]