5 problems

Let $(d_n)_{n=0}^{\infty}$ be a dimension ladder defined by … with $d_0>3$. An aligned SIC is a SIC in the next dimension selected according to the alignment relation described in…

A SIC in dimension $d$ is a set of $d^2$ equiangular unit vectors obtained from a fiducial vector by a Weyl–Heisenberg orbit. In the setting above, $d$ is also the modulus defining…

Let a SIC be a system of $d^2$ equiangular lines, represented here by vectors over a finite field extension as in the paper. A SIC is totally asymmetric when its automorphism group…

Dimension-ladder existence conjecture. It should be possible to prove the existence of a SIC in dimension $d(d-2)$ given a SIC in dimension $d$. The conjecture proposes climbing th…

Let $d$ be a dimension in which a SIC is formed in a standard basis provided by the Weyl–Heisenberg group, and let the number field generated by that SIC be the field generated by…