  Open quantum systems have attracted great attention, since inevitable
coupling between quantum systems and their environment greatly affects the
features of interest of these systems. Quantum discord, is a measure of the
total nonclassical correlation in a quantum system that includes, but is not
exclusive to, the distinct property of quantum entanglement. Quantum discord
can exist in separated quantum states and plays an important role in many
fundamental physics problems and practical quantum information tasks. There
have been numerous investigations on quantum discord and its counterpart
classical correlation. This short review focuses on highlighting the
system-environment dynamics of two-qubit quantum discord and the influence of
initial system-environment correlations on the dynamics of open quantum
systems. The external control effect on the dynamics of open quantum systems
are involved. Several related experimental works are discussed.
