Effect of the phase damping of two qubits on both the quantum discord and non-local correlation

An analytical solution of the master equation for two qubits-field system, in the dispersive regime, are investigated. The qubits are initially in Werner states and the field in coherent state. Under the influence of the damping, the geometric measure of quantum discord (GMQD) and the measurement-induced nonlocality (MIN) are investigated. GMQD and MIN are compared and illustrated their different characteristics. It is found that under the influence of damping the phenomenon of the death occurs for GMQD, but this phenomenon does not occur for MIN even when the damping parameter is high. The initial conditions for the qubits play an important role in the phenomenon of collapses and revivals for GMQD and MIN.