Magic State Factory Catalog

[\![5332,\,9,\,2]\!]

One factory with n=5332 inputs, k=9 outputs and distance d=2.

Inequivalent gates at [[5332, 9, 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}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{016}\cdot \mathrm{CCZ}_{017}\cdot \mathrm{CCZ}_{018}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{027}\cdot \mathrm{CCZ}_{028}\cdots 93 terms—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5459,\,9,\,2]\!] · [\![5110,\,9,\,2]\!] · [\![5621,\,9,\,2]\!] · [\![5010,\,9,\,2]\!] · [\![5671,\,9,\,2]\!] · [\![4879,\,9,\,2]\!] · [\![4855,\,9,\,2]\!] · [\![4845,\,9,\,2]\!] · [\![5842,\,9,\,2]\!] · [\![5843,\,9,\,2]\!] · [\![5922,\,9,\,2]\!] · [\![6007,\,9,\,2]\!]