Dynamics of coherence-induced state ordering under Markovian channels
Long-Mei Yang1, Bin Chen2(), Shao-Ming Fei1, Zhi-Xi Wang1
1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China 2. School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, China
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 l1 norm of coherence, relative entropy of coherence, geometric measure of coherence, and Tsallis relative α-entropies, while the bit flit channel does change for some special cases.
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