EPR steering and parameter estimation in the context of dephasing of two interacting qubits

The quantum steering and quantum Fisher information (QFI) for two qubits in the presence of qubits interaction and dephasing coupling is studied. We show how the dynamics of the quantumness measures can be influenced by the qubits interaction considering symmetry and asymmetry interaction between the environment and the qubits. We find that protection of the steering and enhancement of the parameter estimation precision (PEP) can be made through a proper choice of the quantum model parameters. Finally, we display the relationship between the fidelity, steering and QFI during the dynamics.