Magic State Factory Catalog

[\![561,\,7,\,2]\!]

One factory with n=561 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[561, 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 T6.32515d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![567,\,7,\,2]\!] · [\![568,\,7,\,2]\!] · [\![553,\,7,\,2]\!] · [\![569,\,7,\,2]\!] · [\![525,\,7,\,2]\!] · [\![505,\,7,\,2]\!] · [\![617,\,7,\,2]\!] · [\![504,\,7,\,2]\!] · [\![473,\,7,\,2]\!] · [\![465,\,7,\,2]\!] · [\![660,\,7,\,2]\!] · [\![696,\,7,\,2]\!]