Monogamy properties of qubit systems

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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Correspondence to Xue-Na Zhu.

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

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Keywords

  • Monogamy relations
  • Concurrence
  • Negativity
  • Entanglement of formation