Magic State Factory Catalog

[\![5130,\,10,\,2]\!]

One factory with n=5130 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[5130, 10, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{05}\cdot \mathrm{CS}_{06}\cdot \mathrm{CS}_{07}\cdot \mathrm{CS}_{08}\cdot \mathrm{CS}_{09}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{16}\cdot \mathrm{CS}_{17}\cdot \mathrm{CS}_{18}\cdot \mathrm{CS}_{19}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{26}\cdot \mathrm{CS}_{27}\cdot \mathrm{CS}_{28}\cdot \mathrm{CS}_{}\cdots 165 terms—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5000,\,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]\!] · [\![6851,\,10,\,2]\!]