Morphophoric POVMs, generalised qplexes, and 2-designs

  title={Morphophoric POVMs, generalised qplexes, and 2-designs},
  author={Wojciech Słomczyński and Anna Szymusiak},
We study the class of quantum measurements with the property that the image of the set of quantum states under the measurement map transforming states into probability distributions is similar to this set and call such measurements morphophoric. This leads to the generalisation of the notion of a qplex, where SIC-POVMs are replaced by the elements of the much larger class of morphophoric POVMs, containing in particular 2-design (rank-1 and equal-trace) POVMs. The intrinsic geometry of a… 
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