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Optimized monogamy and polygamy inequalities for multipartite qubit entanglement |
| Jia-Bin Zhang(张嘉斌)1,†, Zhi-Xiang Jin(靳志祥)1,2,‡, Shao-Ming Fei(费少明)1,§, and Zhi-Xi Wang(王志玺)1,¶ |
1 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
2 School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract We investigate the monogamy and polygamy inequalities of arbitrary multipartite quantum states, and provide new classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entanglement of formation, negativity, and Tsallis-q entanglement, respectively. We show that these new monogamy and polygamy inequality relations are tighter than the existing ones with detailed examples.
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Received: 21 January 2021
Revised: 02 March 2021
Accepted manuscript online: 24 March 2021
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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: Project supported by the National Natural Science Foundation of China (Grant Nos. 12075159 and 11847209), Beijing Natural Science Foundation (Grant No. Z190005), Academy for Multidisciplinary Studies, Capital Normal University, the Academician Innovation Platform of Hainan Province, Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology (Grant No. SIQSE202001), the China Postdoctoral Science Foundation funded project (Grant No. 2019M650811), and the China Scholarship Council (Grant No. 201904910005). |
Corresponding Authors:
Jia-Bin Zhang, Zhi-Xiang Jin, Shao-Ming Fei, Zhi-Xi Wang
E-mail: 2150501006@cnu.edu.cn;zxjinzhixiang@126.com;feishm@cnu.edu.cn;wangzhx@cnu.edu.cn
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Cite this article:
Jia-Bin Zhang(张嘉斌), Zhi-Xiang Jin(靳志祥), Shao-Ming Fei(费少明), and Zhi-Xi Wang(王志玺) Optimized monogamy and polygamy inequalities for multipartite qubit entanglement 2021 Chin. Phys. B 30 100310
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