Magic State Factory Catalog

[\![5000,\,10,\,2]\!]

One factory with n=5000 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[5000, 10, 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}_{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}_{027}\cdot \mathrm{CCZ}_{028}\cdot \mathrm{CCZ}_{029}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{03}\cdots 120 terms—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5130,\,10,\,2]\!] · [\![5342,\,10,\,2]\!] · [\![5355,\,10,\,2]\!] · [\![4622,\,10,\,2]\!] · [\![4062,\,10,\,2]\!] · [\![4061,\,10,\,2]\!] · [\![3738,\,10,\,2]\!] · [\![3654,\,10,\,2]\!] · [\![3574,\,10,\,2]\!] · [\![3528,\,10,\,2]\!] · [\![3526,\,10,\,2]\!] · [\![3315,\,10,\,2]\!]