Magic State Factory Catalog

[\![7164,\,4,\,2]\!]

One factory with n=7164 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[7164, 4, 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} pure T10.80717d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![8124,\,4,\,2]\!] · [\![8184,\,4,\,2]\!] · [\![6140,\,4,\,2]\!] · [\![6138,\,4,\,2]\!] · [\![6012,\,4,\,2]\!] · [\![5908,\,4,\,2]\!] · [\![5876,\,4,\,2]\!] · [\![9207,\,4,\,2]\!] · [\![9208,\,4,\,2]\!] · [\![5116,\,4,\,2]\!] · [\![9212,\,4,\,2]\!] · [\![5115,\,4,\,2]\!]