Further quantum designs
Beside MUBs (affine quantum designs, independent observables) and SIC POVMs
(quantum designs of degree 1) there exist (also in the case r=1) further
interesting special cases of quantum designs.
Let D be a quantum design of degree s. We call a pair of projections
Pm, Pn i-associated iff
tr(PmPn) = .
With this definition e.g. the concept of an association schemes (of s classes)
can be applied - as in combinatorial design theory
(see the introduction to association schemes
by C.Godsil (external link)).
More infos will follow ...
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