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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 School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China;
2 CAS Center for Excellence in Particle Physics, Beijing 100049, China |
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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.
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Received: 10 November 2019
Revised: 09 December 2019
Accepted manuscript online:
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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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| Fund: 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. |
Corresponding Authors:
Zhi-Xiang Jin, Cong-Feng Qiao
E-mail: jzxjinzhixiang@126.com;qiaof@ucas.ac.cn
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Cite this article:
Zhi-Xiang Jin(靳志祥), Cong-Feng Qiao(乔从丰) Monogamy and polygamy relations of multiqubit entanglement based on unified entropy 2020 Chin. Phys. B 29 020305
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