Polygamy relation for the Rényi-\(\alpha \) entanglement of assistance in multi-qubit systems

Abstract

We prove a new polygamy relation of multi-party quantum entanglement in terms of Rényi-\(\alpha \) entanglement of assistance for \(\left( {\sqrt{7} - 1} \right) /2\le \alpha \le \left( {\sqrt{13} - 1} \right) /2\). This class of polygamy inequality reduces to the polygamy inequality based on entanglement of assistance since Rényi-\(\alpha \) entanglement is a generalization of entanglement of formation.

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Acknowledgements

This work was supported by NSF-China under Grant Nos. 11374085, 11274010, the Anhui Provincial Natural Science Foundation under Grant Nos.1708085MA12, 1708085MA10, the Key Program of the Education Department of Anhui Province under Grant Nos. KJ2017A922, KJ2016A583, the discipline top-notch talents Foundation of Anhui Provincial Universities under Grant Nos. gxbjZD2017024, gxbjZD2016078, the Anhui Provincial Candidates for academic and technical leaders Foundation under Grant No. 2015H052, and the Excellent Young Talents Support Plan of Anhui Provincial Universities.

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Correspondence to Wei Song.

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Song, W., Yang, M., Zhao, J. et al. Polygamy relation for the Rényi-\(\alpha \) entanglement of assistance in multi-qubit systems. Quantum Inf Process 18, 26 (2019). https://doi.org/10.1007/s11128-018-2143-z

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Keywords

  • Rényi-\(\alpha \) entanglement of assistance
  • Polygamy relation
  • Multi-qubit systems