Tight frames and quaternionic spherical designs

We give a general introduction to finite tight frames, spherical designs and their applications. Examples of interest include SICs (complex equiangular lines) and MUBs (mutually unbiased bases). I will consider how the theory can be extended to tight frames over the quaternions, including the example of six quaternionic equiangular lines in H^2.

Shayne Waldron is the author of the textbook An Introduction to Finite Tight Frames, Springer, 2018.