Probability measure generated by the superfidelity
  We study the probability measure on the space of density matrices induced by the metric defined by using superfidelity. We give the formula for the probability density of eigenvalues. We also study some statistical properties of the set of density matrices equipped with the introduced measure and provide a method for generating density matrices according to the introduced measure. 
Zbigniew Pucha{\l}a, Jaros{\l}aw Adam Miszczak
math-ph math.MP quant-ph