Magic State Factory Catalog

[\![693,\,5,\,2]\!]

One factory with n=693 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[693, 5, 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{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{34}—11d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![699,\,5,\,2]\!] · [\![723,\,5,\,2]\!] · [\![739,\,5,\,2]\!] · [\![762,\,5,\,2]\!] · [\![763,\,5,\,2]\!] · [\![811,\,5,\,2]\!] · [\![571,\,5,\,2]\!] · [\![522,\,5,\,2]\!] · [\![518,\,5,\,2]\!] · [\![889,\,5,\,2]\!] · [\![890,\,5,\,2]\!] · [\![891,\,5,\,2]\!]