Magic State Factory Catalog

[\![7665,\,7,\,2]\!]

One factory with n=7665 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[7665, 7, 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{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}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{16}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{26}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{36}\cdot \mathrm{CS}_{45}\cdot \mathrm{C}\cdots 28 terms—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![7673,\,7,\,2]\!] · [\![7465,\,7,\,2]\!] · [\![8151,\,7,\,2]\!] · [\![8184,\,7,\,2]\!] · [\![8185,\,7,\,2]\!] · [\![9201,\,7,\,2]\!] · [\![9207,\,7,\,2]\!] · [\![9208,\,7,\,2]\!] · [\![5961,\,7,\,2]\!] · [\![5624,\,7,\,2]\!] · [\![5588,\,7,\,2]\!] · [\![5013,\,7,\,2]\!]