  We study an arbitrary non-equilibrium dynamics of a quantum bipartite system
coupled to a reservoir. For its characterization, we present a fluctuation
theorem (FT) that explicitly addresses the quantum correlation of subsystems
during the thermodynamic evolution. To our aim, we designate the local and the
global states altogether in the time-forward and the time-reversed transition
probabilities. In view of the two-point measurement scheme, only the global
states are subject to measurements whereas the local states are used only as an
augmented information on the composite system. We specifically derive a FT in
such a form that relates the entropy production of local systems in the
time-forward transition to the change of quantum correlation in the
time-reversed transition. This also leads to a useful thermodynamic inequality
and we illustrate its advantage by an example of an isothermal process on
Werner states.
