  We study the behavior of Quantum Darwinism (Zurek, [8]) within the iterative,
random unitary operations qubit-model of pure decoherence (Novotny et al, [6]).
We conclude that Quantum Darwinism, which describes the quantum mechanical
evolution of an open system S from the point of view of its environment E, is
not a generic phenomenon, but depends on the specific form of input states and
on the type of S-E-interactions. Furthermore, we show that within the random
unitary model the concept of Quantum Darwinism enables one to explicitly
construct and specify artificial input states of environment E that allow to
store information about an open system S of interest with maximal efficiency.
