Magic State Factory Catalog

[\![172,\,4,\,2]\!]

One factory with n=172 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[172, 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 T5.42613d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![168,\,4,\,2]\!] · [\![186,\,4,\,2]\!] · [\![156,\,4,\,2]\!] · [\![188,\,4,\,2]\!] · [\![155,\,4,\,2]\!] · [\![196,\,4,\,2]\!] · [\![136,\,4,\,2]\!] · [\![135,\,4,\,2]\!] · [\![132,\,4,\,2]\!] · [\![120,\,4,\,2]\!] · [\![116,\,4,\,2]\!] · [\![228,\,4,\,2]\!]