The link between non locality and quantum uncertainty has been
in the news lately, following recent work of
Wehner and
Oppenheim. Another
paper by
Wehner talks about cool gadgets like our friendly
MUBs and
Latin squares, which are created from the digits $1$ to $n$. The two orthogonal squares of size $3$ are

which we recognise as the circulant matrices underlying the
Koide formula, amongst other things. Orthogonality means that all nine ordered pairs are distinct. In fact, these are the two-qutrit
path sets, from which
Koide phases are derived.
http://physicsworld.com/cws/article/news/44411
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