Dynamics of coherence-induced state ordering under Markovian channels

Long-Mei Yang, Bin Chen, Shao-Ming Fei, and Zhi-Xi Wang

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Submission date: 20. Aug. 2018
Pages: 11
published in: Frontiers of physics, 13 (2018) 5, art-no. 130310 
DOI number (of the published article): 10.1007/s11467-018-0780-4
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Abstract:
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.