Magic State Factory Catalog

[\![723,\,9,\,2]\!]

One factory with n=723 inputs, k=9 outputs and distance d=2.

Inequivalent gates at [[723, 9, 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{T}_{7}\cdot \mathrm{T}_{8} pure T6.32815d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![718,\,9,\,2]\!] · [\![703,\,9,\,2]\!] · [\![743,\,9,\,2]\!] · [\![694,\,9,\,2]\!] · [\![693,\,9,\,2]\!] · [\![691,\,9,\,2]\!] · [\![690,\,9,\,2]\!] · [\![774,\,9,\,2]\!] · [\![658,\,9,\,2]\!] · [\![631,\,9,\,2]\!] · [\![630,\,9,\,2]\!] · [\![599,\,9,\,2]\!]