Informationally Complete Characters for Quark and Lepton Mixings
Résumé
A popular account of the mixing patterns for the three generations of quarks and leptons
is through the characters k of a finite group G. Here, we introduce a d-dimensional Hilbert space
with d = cc(G), the number of conjugacy classes of G. Groups under consideration should follow
two rules, (a) the character table contains both two- and three-dimensional representations with at
least one of them faithful and (b) there are minimal informationally complete measurements under
the action of a d-dimensional Pauli group over the characters of these representations. Groups with
small d that satisfy these rules coincide in a large part with viable ones derived so far for reproducing
simultaneously the CKM (quark) and PNMS (lepton) mixing matrices.