Conditions for the freezing phenomena of geometric measure of quantum discord for arbitrary two-qubit X states under non-dissipative dephasing noises

摘要

We study the dynamics of geometric measure of quantum discord (GMQD) underthe influences of two local phase damping noises. Consider the two qubitsinitially in arbitrary X-states, we find the necessary and sufficientconditions for which GMQD is unaffected for a finite period. It is furthershown that such results also hold for the non-Markovian dephasing process.