中国物理B ›› 2020, Vol. 29 ›› Issue (2): 20305-020305.doi: 10.1088/1674-1056/ab6720

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Monogamy and polygamy relations of multiqubit entanglement based on unified entropy

Zhi-Xiang Jin(靳志祥), Cong-Feng Qiao(乔从丰)   

  1. 1 School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China;
    2 CAS Center for Excellence in Particle Physics, Beijing 100049, China
  • 收稿日期:2019-11-10 修回日期:2019-12-09 出版日期:2020-02-05 发布日期:2020-02-05
  • 通讯作者: Zhi-Xiang Jin, Cong-Feng Qiao E-mail:jzxjinzhixiang@126.com;qiaof@ucas.ac.cn
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2015CB856703), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB23030100), the National Natural Science Foundation of China (Grant Nos. 11847209, 11375200, and 11635009), and the China Postdoctoral Science Foundation.

Monogamy and polygamy relations of multiqubit entanglement based on unified entropy

Zhi-Xiang Jin(靳志祥)1, Cong-Feng Qiao(乔从丰)1,2   

  1. 1 School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China;
    2 CAS Center for Excellence in Particle Physics, Beijing 100049, China
  • Received:2019-11-10 Revised:2019-12-09 Online:2020-02-05 Published:2020-02-05
  • Contact: Zhi-Xiang Jin, Cong-Feng Qiao E-mail:jzxjinzhixiang@126.com;qiaof@ucas.ac.cn
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2015CB856703), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB23030100), the National Natural Science Foundation of China (Grant Nos. 11847209, 11375200, and 11635009), and the China Postdoctoral Science Foundation.

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摘要： Monogamy relation is one of the essential properties of quantum entanglement, which characterizes the distribution of entanglement in a multipartite system. By virtual of the unified-(q,s) entropy, we obtain some novel monogamy and polygamy inequalities in general class of entanglement measures. For the multiqubit system, a class of tighter monogamy relations are established in term of the α-th power of unified-(q,s) entanglement for α≥1. We also obtain a class of tighter polygamy relations in the β-th (0≤β≤1) power of unified-(q,s) entanglement of assistance. Applying these results to specific quantum correlations, e.g., entanglement of formation, Renyi-q entanglement of assistance, and Tsallis-q entanglement of assistance, we obtain the corresponding monogamy and polygamy relations. Typical examples are presented for illustration. Furthermore, the complementary monogamy and polygamy relations are investigated for the α-th (0≤α≤q 1) and β-th (β≥1) powers of unified entropy, respectively, and the corresponding monogamy and polygamy inequalities are obtained.

关键词: quantum monogamy, quantum polygamy, unified entropy

Abstract: Monogamy relation is one of the essential properties of quantum entanglement, which characterizes the distribution of entanglement in a multipartite system. By virtual of the unified-(q,s) entropy, we obtain some novel monogamy and polygamy inequalities in general class of entanglement measures. For the multiqubit system, a class of tighter monogamy relations are established in term of the α-th power of unified-(q,s) entanglement for α≥1. We also obtain a class of tighter polygamy relations in the β-th (0≤β≤1) power of unified-(q,s) entanglement of assistance. Applying these results to specific quantum correlations, e.g., entanglement of formation, Renyi-q entanglement of assistance, and Tsallis-q entanglement of assistance, we obtain the corresponding monogamy and polygamy relations. Typical examples are presented for illustration. Furthermore, the complementary monogamy and polygamy relations are investigated for the α-th (0≤α≤q 1) and β-th (β≥1) powers of unified entropy, respectively, and the corresponding monogamy and polygamy inequalities are obtained.

Key words: quantum monogamy, quantum polygamy, unified entropy

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

  • 03.67.Mn
03.65.Ud (Entanglement and quantum nonlocality)