Optimized monogamy and polygamy inequalities for multipartite qubit entanglement

doi:10.1088/1674-1056/abf12e

中国物理B ›› 2021, Vol. 30 ›› Issue (10): 100310-100310.doi: 10.1088/1674-1056/abf12e

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

收稿日期:2021-01-21 修回日期:2021-03-02 接受日期:2021-03-24 出版日期:2021-09-17 发布日期:2021-09-26
通讯作者: 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
基金资助:
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).

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

Received:2021-01-21 Revised:2021-03-02 Accepted:2021-03-24 Online:2021-09-17 Published:2021-09-26
Contact: 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
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: monogamy inequalities, polygamy inequalities, entanglement measures

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.

Key words: monogamy inequalities, polygamy inequalities, entanglement measures

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

03.65.Ud (Entanglement and quantum nonlocality) 03.67.-a (Quantum information)

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[J]. 中国物理B, 2021, 30(10): 100310-100310.

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[J]. Chin. Phys. B, 2021, 30(10): 100310-100310.

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Optimized monogamy and polygamy inequalities for multipartite qubit entanglement

Optimized monogamy and polygamy inequalities for multipartite qubit entanglement

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