Magic State Factory Catalog

[\![86,\,10,\,3]\!]

One factory with n=86 inputs, k=10 outputs and distance d=3.

Inequivalent gates at [[86, 10, 3]]. 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}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9} pure T1.95918d = 3Jain et al. (2026)

Same n and k at other distances: [\![86,\,10,\,2]\!]
Nearest lengths with the same k and d: [\![88,\,10,\,3]\!] · [\![82,\,10,\,3]\!] · [\![90,\,10,\,3]\!] · [\![76,\,10,\,3]\!] · [\![74,\,10,\,3]\!] · [\![72,\,10,\,3]\!] · [\![70,\,10,\,3]\!] · [\![68,\,10,\,3]\!] · [\![63,\,10,\,3]\!]