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Monogamy of entanglement for tripartite systems

Xue-Na Zhu1,*, Gui Bao1,†, Zhi-Xiang Jin2,‡, and Shao-Ming Fei3,§

  • 1School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China
  • 2School of Computer Science and Technology, Dongguan University of Technology, Dongguan, 523808, China
  • 3School of Mathematical Sciences, Capital Normal University, Beijing 100048, China

  • *Corresponding author: jing_feng1986@126.com
  • †Corresponding author: baoguigui@163.com
  • ‡Corresponding author: jzxjinzhixiang@126.com
  • §Corresponding author: feishm@mail.cnu.edu.cn
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Phys. Rev. A 107, 052404 – Published 11 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.052404

Abstract

We study the monogamy of arbitrary quantum entanglement measures E for tripartite quantum systems. Both the sufficient and necessary conditions for E to be monogamous in terms of the αth power of E are explicitly derived. It is shown that such monogamy of an entanglement measure E only depends on the boundedness of the solution set of certain equations. Moreover, the monogamy conditions are also obtained with respect to certain subsets of quantum states for a given quantum correlation. Detailed examples are given to illustrate our results.

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Phys. Rev. A 107, 052404– Published 11 May, 2023
  • Received 31 December 2022
  • Accepted 25 April 2023
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