  The rate of complexification of a quantum state is conjectured to be bounded
from above by the average energy of the state. A different conjecture relates
the complexity of a holographic CFT state to the on-shell gravitational action
of a certain bulk region. We use 'complexity equals action' conjecture to study
the time evolution of the complexity of the CFT state after a global quench. We
find that the rate of growth of complexity is not only consistent with the
conjectured bound, but it also saturates the bound soon after the system has
achieved local equilibrium.
