Toward the relationship between local quantum Fisher information and local quantum uncertainty in the presence of intrinsic decoherence

The delicate relationship between the concepts of local quantum uncertainty, local quantum Fisher information and concurrence is investigated. This is analyzed by quantifying the non-classical correlations inherent in a two-qubit XXZ open system interacting with its surrounding environment in the presence of an external magnetic field. The second part of this work investigates different kinds of states, namely pure, Werner, mixed, and maximally entangled states via solving the time-dependent Milburn equation. Indeed, by controlling various interaction parameters, it is shown that the non-classical quantifiers and entanglement witness by means of local quantum uncertainty, local quantum Fisher information, and concurrence, respectively, fluctuate approximately similarly between their maximum and minimum bounds, where in general the sudden death, sudden birth, oscillations, and frozen correlations phenomena appear in the case of Werner and maximally entangled states. Finally, a scheme of quantum teleportation protocol is proposed in order to make a comparative study between teleported non-classical correlations and entanglement under the influence of the intrinsic decoherence phenomenon.