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Dynamics of coherence-induced state ordering under Markovian channels
Long-Mei Yang, Bin Chen, Shao-Ming Fei and Zhi-Xi Wang
We study the dynamics of coherence-induced state ordering under incoherent channels, particularly four specific Markovian channels $-$ amplitude damping channel, phase damping channel, depolarizing channel and bit flit channel for single-qubit states.
We show that the amplitude damping channel, phase damping channel and depolarizing channel do not change the coherence-induced state ordering by $l_1$ norm of coherence, relative entropy of coherence, geometric measure of coherence and Tsallis relative $\alpha$-entropies, while the bit flit channel does change for some special cases.