  We investigate the influence of dissipation and decoherence on quantum
Darwinism by generalizing Zurek's original qubit model of decoherence and the
establishment of pointer states (Zurek, Nature Physics 5, 181 - 188 (2009)).
Our model allows for repeated multiple qubit-qubit couplings between system and
environment which are described by randomly applied two-qubit quantum
operations inducing entanglement, dissipation and dephasing. The resulting
stationary qubit states of system and environment are investigated. They
exhibit the intricate influence of entanglement generation, dissipation and
dephasing on this characteristic quantum phenomenon.
