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Dynamics of coherence-induced state ordering under Markovian channels

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Long-Mei Yang, Shao-Ming Fei & Zhi-Xi Wang

  2. School of Mathematical Sciences, Tianjin Normal University, Tianjin, 300387, China

    Bin Chen

Authors
  1. Long-Mei Yang
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  2. Bin Chen
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  3. Shao-Ming Fei
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  4. Zhi-Xi Wang
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Correspondence to Bin Chen.

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Yang, LM., Chen, B., Fei, SM. et al. Dynamics of coherence-induced state ordering under Markovian channels. Front. Phys. 13, 130310 (2018). https://doi.org/10.1007/s11467-018-0780-4

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  • DOI: https://doi.org/10.1007/s11467-018-0780-4

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