Product Weyl--Heisenberg covariant mutually unbiased bases and extremal non-stabilizerness
Researchers introduced 'magick,' a measure of quantum state properties related to product Weyl-Heisenberg groups. They proved that fiducial states for symmetric informationally complete measurements (SIC) and mutually unbiased bases (MUBs) maximize this magick quantity when covariant with the group. This work provides explicit constructions for MUBs in prime-power dimensions, extending previous methods.