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Multipartite quantum coherence and monogamy for Dirac fields subject to Hawking radiation

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Abstract

We study the quantum coherence of Greenberger–Horne–Zeilinger-like states of multi-mode Dirac fields in the background of a Schwarzschild black hole. We find that the evolutions of both \(l_1\)-norm of coherence and relative entropy of coherence are similar, though the two measures are not completely compatible. The accessible coherence always degrades monotonically by the Hawking effect, and the inaccessible coherence increases from zero monotonically or non-monotonically, depending on the ratio of the inaccessible to the accessible number of modes. Both the accessible and inaccessible coherences have the phenomenon of freeze. The monogamies for the \(l_1\)-norm of coherence between the accessible and inaccessible modes are established.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11275064), 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, Department of Physics, Hunan Normal University, Changsha, 410081, China

    Shu-Min Wu & Hao-Sheng Zeng

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  1. Shu-Min Wu
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  2. Hao-Sheng Zeng
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Correspondence to Hao-Sheng Zeng.

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Wu, SM., Zeng, HS. Multipartite quantum coherence and monogamy for Dirac fields subject to Hawking radiation. Quantum Inf Process 18, 305 (2019). https://doi.org/10.1007/s11128-019-2426-z

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