Abstract
We investigate the dynamics of geometric measure of quantum discord (GMQD) for a class of two-qubit states under local decoherence channels: bit-, phase-, and bit-phase flips. We find that there are four types of dynamical behaviors of the GMQD, i.e., monotonic decay, existing a sudden change point, existing two sudden change points, and unaffected for a finite time interval and then monotonic decay. Furthermore, we establish a factorization law for the GMQD under these decoherence channels. From this law the lower bound of the GMQD can be obtained.
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