Magic State Factory Catalog

[\![165,\,5,\,2]\!]

One factory with n=165 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[165, 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}—9d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![171,\,5,\,2]\!] · [\![186,\,5,\,2]\!] · [\![187,\,5,\,2]\!] · [\![130,\,5,\,2]\!] · [\![203,\,5,\,2]\!] · [\![115,\,5,\,2]\!] · [\![217,\,5,\,2]\!] · [\![218,\,5,\,2]\!] · [\![106,\,5,\,2]\!] · [\![105,\,5,\,2]\!] · [\![227,\,5,\,2]\!] · [\![238,\,5,\,2]\!]