Magic State Factory Catalog

[\![52,\,1,\,4]\!]

One factory with n=52 inputs, k=1 output and distance d=4.

Inequivalent gates at [[52, 1, 4]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0} pure T2.85010d = 4Wills et al. (2026); Jain et al. (2026)

Same n and k at other distances: [\![52,\,1,\,3]\!]
Nearest lengths with the same k and d: [\![48,\,1,\,4]\!] · [\![60,\,1,\,4]\!] · [\![64,\,1,\,4]\!] · [\![72,\,1,\,4]\!] · [\![73,\,1,\,4]\!] · [\![76,\,1,\,4]\!] · [\![77,\,1,\,4]\!] · [\![84,\,1,\,4]\!] · [\![117,\,1,\,4]\!] · [\![165,\,1,\,4]\!]