Abstract
Realistic quantum systems are still an open area for more studies in the field of quantum information and its applications. Therefore, the interaction between the external environment and quantum systems, understanding the dynamics of different information quantifiers, and finding the correlation between different phenomena may stimulate great interest. In this regard, the information flow and phase space entropy of a quantum system is a potential resource for quantum information processing. We investigate the relationship between the quantum Fisher information, quantum entanglement and bifurcations of the Husimi Q-function, and the Wehrl phase distribution of a single qubit system coupled to an environment. We examine the effect of qubit damping on the evolution of different quantities during the time evolution. Finally, we discuss the the link between the dynamic properties of the quantum Fisher information flow and bifurcations of the phase-space entropy.