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Parameterized monogamy and polygamy relations of multipartite entanglement |
| Zhong-Xi Shen(沈中喜)1,†, Ke-Ke Wang(王珂珂)1,‡, and Shao-Ming Fei(费少明)1,2,§ |
1 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
2 Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany |
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Abstract Monogamy and polygamy relations are important properties of entanglement, which characterize the entanglement distribution of multipartite systems. We explore monogamy and polygamy relations of entanglement in multipartite systems by using two newly derived parameterized mathematical inequalities, and establish classes of parameterized monogamy and polygamy relations of multiqubit entanglement in terms of concurrence and entanglement of formation. We show that these new parameterized monogamy and poelygamy inequalities are tighter than the existing ones by detailed examples.
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Received: 12 June 2023
Revised: 08 August 2023
Accepted manuscript online: 23 August 2023
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PACS:
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.-a
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(Quantum information)
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| Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos.12075159 and 12171044), the Beijing Natural Science Foundation (Grant No.Z190005), and the Academician Innovation Platform of Hainan Province. |
Corresponding Authors:
Zhong-Xi Shen, Ke-Ke Wang, Shao-Ming Fei
E-mail: 18738951378@163.com;wangkk@cnu.edu.cn;feishm@cnu.edu.cn
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Cite this article:
Zhong-Xi Shen(沈中喜), Ke-Ke Wang(王珂珂), and Shao-Ming Fei(费少明) Parameterized monogamy and polygamy relations of multipartite entanglement 2023 Chin. Phys. B 32 120303
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