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Monogamy properties of qubit systems

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Abstract

We investigate monogamy relations related to quantum entanglement for n-qubit quantum systems. General monogamy inequalities are presented to the \(\beta \hbox {th}\,(\beta \in (0,2))\) power of concurrence, negativity and the convex-roof extended negativity, as well as the \(\beta \hbox {th}\,(\beta \in (0,\sqrt{2}))\) power of entanglement of formation. These monogamy relations are complementary to the existing ones with different regions of parameter \(\beta \). In additions, new monogamy relations are also derived which include the existing ones as special cases.

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Acknowledgements

This work is supported by NSFC under numbers 11675113, 11605083, and Beijing Municipal Commission of Education (KM201810011009).

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Authors and Affiliations

  1. School of Mathematics and Statistics Science, Ludong University, Yantai, 264025, China

    Xue-Na Zhu

  2. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Shao-Ming Fei

  3. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shao-Ming Fei

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  1. Xue-Na Zhu
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  2. Shao-Ming Fei
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Correspondence to Xue-Na Zhu.

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Zhu, XN., Fei, SM. Monogamy properties of qubit systems. Quantum Inf Process 18, 23 (2019). https://doi.org/10.1007/s11128-018-2136-y

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  • DOI: https://doi.org/10.1007/s11128-018-2136-y

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