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The relation between entanglement measure and coherence measure based on Hellinger distance

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Abstract

In (Qi et al. in J Phys A Math Theor 50(28):285301, 2017), the authors proposed a coherence measure based on concurrence measure and obtained a relation between the coherence measure and concurrence entanglement measure. In this paper, motivated by this idea, we introduce an entanglement measure based on the Hellinger distance for bipartite quantum states and prove that it satisfies the necessary conditions of entanglement measure. Furthermore, we obtained a relation between the given entanglement measure and quantum coherence measure based on Hellinger distance.

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Acknowledgements

The project is supported by the Natural Science Foundation of Shanxi Province, China (Grant No. 201901D111254 and 201801D221019).

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Authors and Affiliations

  1. School of Applied Science, Taiyuan University of Science and Technology, Taiyuan, 030024, Shanxi, China

    Yaxue Liu, Lili Yang & Donghua Yan

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  1. Yaxue Liu
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  2. Lili Yang
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  3. Donghua Yan
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Correspondence to Yaxue Liu.

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Liu, Y., Yang, L. & Yan, D. The relation between entanglement measure and coherence measure based on Hellinger distance. Quantum Inf Process 21, 132 (2022). https://doi.org/10.1007/s11128-022-03465-1

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