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Genuine multipartite coherence under correlated noisy channels in N-partite systems

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Abstract

In this paper, we define the genuine multipartite coherence and genuine multipartite average coherence, discuss their properties and investigative the relationship between them and other quantum resources. Firstly, we prove that the genuine multipartite coherence can be represented by interaction information, and it can determine whether genuine multipartite discord exists. Secondly, comparing the global coherence and genuine multipartite coherence in noisy channels with different correlation strengths, the global coherence and genuine multipartite coherence are more stable with the increasing correlation strengths, and genuine multipartite coherence is more stable than global coherence. Finally, we find that the difference between genuine multipartite coherence and genuine multipartite average coherence can be expressed by quantum discord, and the genuine multipartite coherence is always greater than or equal to the genuine multipartite entanglement. For the tripartite pure states, we provide some trade-off relations between the total correlation, classical correlation, and quantum correlations.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (NSFC) under Grant No. 12175179 and the Peng Huaiwu Center for Fundamental Theory under Grant No. 12047502.

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Authors and Affiliations

  1. Institute of Modern Physics, Northwest University, Xi’an, 710127, China

    De-Hua Zhang, Feng-Lin Wu, Zhen-Yu Peng, Lu Wang & Si-Yuan Liu

  2. Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi’an, 710127, China

    Feng-Lin Wu & Si-Yuan Liu

  3. School of Physics, Northwest University, Xi’an, 710127, China

    Zhen-Yu Peng

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  1. De-Hua Zhang
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  2. Feng-Lin Wu
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Correspondence to Si-Yuan Liu.

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Zhang, DH., Wu, FL., Peng, ZY. et al. Genuine multipartite coherence under correlated noisy channels in N-partite systems. Quantum Inf Process 22, 120 (2023). https://doi.org/10.1007/s11128-023-03860-2

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