Magic State Factory Catalog

[\![87,\,11,\,3]\!]

One factory with n=87 inputs, k=11 outputs and distance d=3.

Inequivalent gates at [[87, 11, 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}\cdot \mathrm{T}_{10} pure T1.88219d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![90,\,11,\,3]\!] · [\![91,\,11,\,3]\!] · [\![82,\,11,\,3]\!] · [\![93,\,11,\,3]\!] · [\![79,\,11,\,3]\!] · [\![95,\,11,\,3]\!] · [\![97,\,11,\,3]\!] · [\![99,\,11,\,3]\!] · [\![101,\,11,\,3]\!] · [\![103,\,11,\,3]\!] · [\![63,\,11,\,3]\!] · [\![127,\,11,\,3]\!]