Quantum correlation dynamics of two qubits in noisy environments: The factorization law and beyond

We investigate the quantum correlations of two qubits under conditions of single-sided and two-sided noisy channels when the initial state of the system belongs to a subclass of XX structured ones in terms of measurement-induced nonlocality, measurement-induced disturbance and quantum discord. The results show that measurement-induced nonlocality has a factorization law, regardless of whether there are single-sided or two-sided noisy channels. However, there is no simple factorization relation for measurement-induced disturbance and quantum discord. Also, we compare the evolution of these quantum correlations as functions of time. For the four Bell initial states, we find that the measurement-induced disturbance evolution equations are the same when the channel is single-sided, but they will be divided into two categories when the channel is two-sided. Quantum correlations decay more quickly when the channel is two-sided. Furthermore, quantum discord presents sudden change in the derivative of its time evolution.

► The quantum correlation dynamics of two qubits under noisy environmental conditions is investigated.
► Measurement-induced nonlocality has a factorization law, regardless of whether there are single-sided or two-sided noisy channels.
► There is no simple factorization relation for measurement-induced disturbance and quantum discord.