Gerhard Zauner

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)).

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