  A quantum mechanical generalization of superstatistics is presented here
based on the positive operator valued measure transformation property of the
system density matrix. This procedure reveals that the origin of the
fluctuating factors occurring in the derivation of the superstatistics lies in
the choice of the transformation operators governing the dynamics of
fluctuations. This generalization addresses situations such as nanosystems
based on quantum devices (e.g., superconducting devices, single electron
transistors, etc,) operating at low temperatures where cognizance of quantum
fluctuations is essential.
