A Constructive Approach to Zauner's Conjecture via the Stark Conjectures

Marcus Appleby, Steven T Flammia, Gene S Kopp

We propose a construction of $d^2$ complex equiangular lines in ${\mathbb{C}}^d$, also known as SICPOVMs, conjectured by Zauner to exist for all d. The construction gives a putativel…