Magic State Factory Catalog

[\![2805,\,5,\,2]\!]

One factory with n=2805 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[2805, 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}—13d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2811,\,5,\,2]\!] · [\![2707,\,5,\,2]\!] · [\![2907,\,5,\,2]\!] · [\![3003,\,5,\,2]\!] · [\![3066,\,5,\,2]\!] · [\![3067,\,5,\,2]\!] · [\![3201,\,5,\,2]\!] · [\![3203,\,5,\,2]\!] · [\![2146,\,5,\,2]\!] · [\![3498,\,5,\,2]\!] · [\![3577,\,5,\,2]\!] · [\![3578,\,5,\,2]\!]