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Concurrence as a measure of Markovianity: concurrence versus distinguishability and divisibility

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Abstract

We examine the measure of Markovianity based on entanglement through two typical dynamical models in qubit systems and compare it with the measures of Markovianity based on state distinguishability and dynamical divisibility. We find that divisible dynamics always leads to the monotonic decrease in concurrence, but distinguishability does not constrain its behavior in the same way.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 11275064, 11075050), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20124306110003), and the Construct Program of the National Key Discipline.

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Authors and Affiliations

  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Department of Physics, Hunan Normal University, Changsha, 410081, China

    Ze-Yu Gao, Yu-Kun Ren & Hao-Sheng Zeng

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  1. Ze-Yu Gao
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  2. Yu-Kun Ren
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  3. Hao-Sheng Zeng
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Correspondence to Hao-Sheng Zeng.

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Gao, ZY., Ren, YK. & Zeng, HS. Concurrence as a measure of Markovianity: concurrence versus distinguishability and divisibility. Quantum Inf Process 15, 3043–3053 (2016). https://doi.org/10.1007/s11128-016-1306-z

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  • DOI: https://doi.org/10.1007/s11128-016-1306-z

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