  A symmetric measure of quantum correlation based on the Hilbert-Schmidt
distance is presented in this paper. For two-qubit states, we simplify
considerably the optimization procedure so that numerical evaluation can be
performed efficiently. Analytical expressions for the quantum correlation are
attained for some special states. We further investigate the dynamics of
quantum correlation of the system qubits in the presence of independent
dissipative environments. Several nontrivial aspects are demonstrated. We find
that the quantum correlation can increase even if the system state is suffering
dissipative noise. Sudden changes occur, even twice, in the time evolution of
quantum correlation. There is certain correspondence between the evolution of
quantum correlation in the systems and that in the environments, and the
quantum correlation in the systems will be transferred into the environments
completely and asymptotically.
