  Adopting the framework of two-coupled superconducting charges model, we
discussed the information entropy of two qubits initially prepared in a mixed
state and allowed to interact with their environment. The impact of the
different parameters of the system is explicitly investigated. Present
calculations show that strong mutual entropy is obtained for a long interaction
time when the two qubits are initially in a mixed state with the environment
switched off. We have identified a class of two-qubit states that have a rich
dynamics when the deviation between the characteristic energies of the quabits
becomes minimum. It was found that the total correlation decreases abruptly to
zero in a finite time due to the influence of the strong environment.
