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Related papers: Tighter monogamy and polygamy relations in multipa…

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Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations for multiqubit generalized W-class states. We present new analytical monogamy inequalities for the concurrence of…

Quantum Physics · Physics 2018-07-24 Zhi-Xiang Jin , Shao-Ming Fei

Quantum entanglement for multiparty system has a unique feature when it comes to sharing its property among various subsystems. This is famously stated as the monogamy of entanglement. The traditional monogamy of concurrence for tripartite…

Quantum Physics · Physics 2022-05-04 Ida Mishra , Arun K Pati , Sohail

Entanglement polygamy, like entanglement monogamy, is a fundamental property of multipartite quantum states. We investigate the polygamy relations related to the concurrence $C$ and the entanglement of formation $E$ for general $n$-qubit…

Quantum Physics · Physics 2019-08-20 Xuena Zhu , Zhixiang Jin , Shaoming Fei

Using entanglement of assistance, we establish a general polygamy inequality of multi-party entanglement in arbitrary dimensional quantum systems. For multi-party closed quantum systems, we relate our result with the monogamy of…

Quantum Physics · Physics 2012-06-15 Jeong San Kim

In this paper, we present some monogamy relations of multiqubit quantum entanglement in terms of the \beta th power of concurrence, entanglement of formation and convex-roof extended negativity. These monogamy relations are proved to be…

Quantum Physics · Physics 2022-10-25 Yudie Gu , Yanmin Yang , Jialing Zhang , Wei Chen

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence $C$ and the entanglement of formation $E$. We present new entanglement monogamy…

Quantum Physics · Physics 2017-02-21 Zhi-Xiang Jin , Shao-Ming Fei

We provide a generalized definition of polygamy relations for any quantum correlation measures. Instead of the usual polygamy inequality, a polygamy relation with equality is given by introducing the polygamy weight. From the polygamy…

Quantum Physics · Physics 2023-09-27 Zhi-Xiang Jin , Bing Yu , Xue-Na Zhu , Shao-Ming Fei , Cong-Feng Qiao

We introduce the concept of monogamy deficit for quantum correlation by combining together two types of monogamy inequalities depending on different measurement sides. For tripartite pure state, we demonstrate a relation which connects two…

Quantum Physics · Physics 2013-07-05 Si-Yuan Liu , Bo Li , Wen-Li Yang , Heng Fan

Unlike classical correlation, quantum entanglement cannot be freely shared among many parties. This restricted shareability of entanglement among multi-party systems is known as monogamy of entanglement, which is one of the most fundamental…

Quantum Physics · Physics 2022-06-22 Xiao-Lan Zong , Hao-Hao Yin , Wei Song , Zhuo-Liang Cao

We study the monogamy and polygamy inequalities of quantum correlations in arbitrary dimensional multipartite quantum systems. We first derive the monogamy inequality of the $\alpha$th ($0\leq\alpha\leq\frac{r}{2}, r\geq2$) power of…

Quantum Physics · Physics 2022-02-08 Mei-Ming Zhang , Naihuan Jing , Hui Zhao

We show that bipartite entanglement distribution (or entanglement of assistance) in multipartite quantum systems is by nature polygamous. We first provide an analytic upper bound for the concurrence of assistance in bipartite quantum…

Quantum Physics · Physics 2009-08-06 Jeong San Kim

We study the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems in a unified manner. It is known that any bipartite measure obeys monogamy and polygamy relations for the $r$-power of the…

Quantum Physics · Physics 2023-10-11 Xia Zhang , Naihuan Jing , Ming Liu , Haitao Ma

Monogamy is an intrinsic feature of quantum correlations that gives rise to several interesting quantum characteristics which are not amenable to classical explanations. The monogamy property imposes physical restrictions on unconditional…

Quantum Physics · Physics 2017-08-02 Himadri Shekhar Dhar , Amit Kumar Pal , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

We investigate the polygamy relations related to the concurrence of assistance for any multipartite pure states. General polygamy inequalities given by the $\alpha$th $(0\leq \alpha\leq 2)$ power of concurrence of assistance is first…

Quantum Physics · Physics 2020-10-13 Zhi-Xiang Jin , Shao-Ming Fei

Monogamy is a nonclassical property that limits the distribution of quantum correlation among subparts of a multiparty system. We show that monogamy scores for different quantum correlation measures are bounded above by functions of genuine…

Quantum Physics · Physics 2017-06-21 Asutosh Kumar , Himadri Shekhar Dhar , R. Prabhu , Aditi Sen De , Ujjwal Sen

We establish duality for monogamy of entanglement: whereas monogamy of entanglement inequalities provide an upper bound for bipartite sharability of entanglement in a multipartite system, we prove that the same quantity provides a…

Quantum Physics · Physics 2007-05-23 Somshubhro Bandyopadhyay , Gilad Gour , Barry C. Sanders

We show that the polygamous nature of multi-party quantum correlations can be characterized in a {\em stronger} form based on Tsallis $q$-entropy and $q$-expectation value. By considering the amount of entanglement that can be distributed…

Quantum Physics · Physics 2021-02-03 Jeong San Kim

Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We investigate the monogamy and polygamy relations with respect to any partitions for a superposition of the generalized $W$-class state…

Quantum Physics · Physics 2021-09-24 Le-Min Lai , Shao-Ming Fei , Zhi-Xi Wang

The distribution of entanglement in a multiparty system can be described through the principles of monogamy or polygamy. Monogamy is a fundamental characteristic of entanglement that restricts its distribution among several number of…

We provide a generalization for the polygamy constraint of multiparty entanglement in arbitrary dimensional quantum systems. By using the $\beta$th-power of entanglement of assistance for $0\leq \beta \leq1$ and the Hamming weight of the…

Quantum Physics · Physics 2018-04-25 Jeong San Kim