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Quantifying Quantum Non-Markovianity Based on Two Kinds of Coherence Measures

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Abstract

Non-Markovianity measures of open quantum systems are given based on two kinds of quantum coherence measures, which are defined from the perspective of norms and fidelity, respectively. These non-Markovianity measures are applied to find the conditions for the occurrence of non-Markovian processes in a single-qubit state under three typical noisy channels: phase damping channel, amplitude damping channel and random unitary channel. For the phase damping channel and the amplitude damping channel, our conditions are the same as those given by known methods, such as quantum trace distance, dynamical divisibility, and quantum mutual information, whereas in the random unitary channel, new and incompletely equivalent conditions are presented.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Yanbian University, Yanji, Jilin, 133002, China

    Liu Sun, Jiang-Peng Li & Lin-Song Li

  2. Department of Big Data, College of Science, Zhejiang University of Science and Technology, Hangzhou, Zhengjiang, 310023, China

    Yuan-Hong Tao

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  1. Liu Sun
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  2. Jiang-Peng Li
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  3. Yuan-Hong Tao
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  4. Lin-Song Li
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L. Sun and Y. H. Tao wrote the main manuscript text. All of the authors reviewed the manuscript.

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Correspondence to Yuan-Hong Tao.

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The authors declare no competing interests.

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This work is supported by NSFC under No. 11761073.

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Sun, L., Li, JP., Tao, YH. et al. Quantifying Quantum Non-Markovianity Based on Two Kinds of Coherence Measures. Int J Theor Phys 61, 134 (2022). https://doi.org/10.1007/s10773-022-05086-x

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