Magic State Factory Catalog

[\![8151,\,7,\,2]\!]

One factory with n=8151 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[8151, 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} pure T10.18518d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![8184,\,7,\,2]\!] · [\![8185,\,7,\,2]\!] · [\![7673,\,7,\,2]\!] · [\![7665,\,7,\,2]\!] · [\![7465,\,7,\,2]\!] · [\![9201,\,7,\,2]\!] · [\![9207,\,7,\,2]\!] · [\![9208,\,7,\,2]\!] · [\![5961,\,7,\,2]\!] · [\![5624,\,7,\,2]\!] · [\![5588,\,7,\,2]\!] · [\![11220,\,7,\,2]\!]