  We derive the analytical expression of local quantum uncertainty for
three-qubit X-states. We give also the expressions of quantum discord and the
negativity. A comparison of these three quantum correlations quantifiers is
discussed in the special cases of mixed GHZ states and Bell-type states. We
find that local quantum uncertainty gives the same amount of non-classical
correlations as are measured by entropic quantum discord and goes beyond
negativity. We also discuss the dynamics of non-classical correlations under
the effect of phase damping, depolarizing and phase reversal channels. We find
the local quantum uncertainty shows more robustness and exhibits, under phase
reversal effect, revival and frozen phenomena. The monogamy property of local
quantum uncertainty is also discussed. It is shown that it is monogamous for
three-qubit states.
