Emily King recently launched an online competition to find the best packings of points in complex projective space. The so-called Game of Sloanes is concerned with packing points in
for
and for
. John Jasper, Emily King and I collaborated to make the baseline for this competition by curating various packings from the literature and then numerically optimizing sub-optimal packings. See our paper for more information:
J. Jasper, E. J. King, D. G. Mixon, Game of Sloanes: Best known packings in complex projective space
If you have a packing that improves upon the current leader board, you can submit your packing to the following email address:
asongofvectorsandangles [at] gmail [dot] com
In this competition, you can win money if you find a new packing that achieves equality in the Welch bound; see this paper for a survey of these so-called equiangular tight frames (ETFs).