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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 |
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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.
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| Keywords
l1-norm of coherence
relative entropy of coherence
geometric measure of coherence
Tsallis relative α-entropies of coherence
ordering state
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Corresponding Author(s):
Bin Chen
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Issue Date: 09 May 2018
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