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I just noticed what looks like part 1 of a fun read by @bstacey :

"Sporadic SICs and Exceptional Lie Algebras I"
https://golem.ph.utexas.edu/category/2019/02/sporadic_sics_and_exceptional.html

Before you ask, here's a suggested reading which mentions SIC's in its title: "Symmetric Informationally Complete Quantum Measurements"
https://arxiv.org/abs/quant-ph/0310075

So the SIC problem is about finding all SIC structures in any dimension.

#sporadic and #exceptional #maths