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Related papers: Polygamy of Entanglement in Multipartite Quantum S…

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We propose a new type of polygamy inequality for multi-party quantum entanglement. We first consider the possible amount of bipartite entanglement distributed between a fixed party and any subset of the rest parties in a multi-party quantum…

Quantum Physics · Physics 2014-11-19 Jeong San Kim

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

While quantum entanglement is known to be monogamous (i.e. shared entanglement is restricted in multi-partite settings), here we show that distributed entanglement (or the potential for entanglement) is by nature polygamous. By establishing…

Quantum Physics · Physics 2009-07-20 Francesco Buscemi , Gilad Gour , Jeong San Kim

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

We establish a unified view of polygamy of multi-qubit entanglement. We first introduce a two-parameter generalization of entanglement of assistance namely unified entanglement of assistance for bipartite quantum states, and provide an…

Quantum Physics · Physics 2012-04-03 Jeong San Kim

We study monogamy relations for arbitrary dimensional multipartite systems. Monogamy relations based on concurrence and concurrence of assistance for any dimensional $m_1\otimes m_2\otimes...\otimes m_{N}$ quantum states are derived, which…

Quantum Physics · Physics 2017-10-19 Xue-Na Zhu , Xianqing Li-Jost , Shao-Ming Fei

The monogamy and polygamy properties of quantum entanglement characterize fundamental constraints on the distribution of entanglement in multipartite quantum systems. In this paper, we investigate tighter monogamy and polygamy relations for…

Quantum Physics · Physics 2026-03-16 Chenxiao Wang , Limin Gao

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

We investigate polygamy relations of multipartite entanglement in arbitrary-dimensional quantum systems. By improving an inequality and using the $\beta$th ($0\leq\beta\leq1$) power of entanglement of assistance, we provide a new class of…

Quantum Physics · Physics 2019-02-26 Bin Chen , Long-Mei Yang , Shao-Ming Fei , Zhi-Xi Wang

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

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 study the polygamy property for tripartite and multipartite quantum systems. In tripartite system, we build a solution set for polygamy in tripartite system and find a lower bound of the set, which can be a sufficient and necessary…

Quantum Physics · Physics 2024-01-11 Yanying Liang , Haozhen Situ , Zhu-Jun Zheng

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

Monogamy of entanglement is generally discussed using a bipartite entanglement measure as an upper bound. Here we discuss a new kind of monogamous relation where the upper bound is given by a multipartite measure of entanglement, the…

Quantum Physics · Physics 2013-03-27 Marcio F. Cornelio

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

Multipartite entanglement holds great importance in quantum information processing. The distribution of entanglement among subsystems can be characterized by monogamy relations. Based on the $\beta$th power of concurrence and negativity, we…

Quantum Physics · Physics 2023-12-19 Jia-Yi Li , Zhong-Xi Shen , Shao-Ming Fei

We investigate the polygamy relations of multipartite quantum states. General polygamy inequalities are given in the $\alpha$th $(\alpha\geq 2)$ power of concurrence of assistance, $\beta$th $(\beta \geq1)$ power of entanglement of…

Quantum Physics · Physics 2019-03-04 Zhi-Xiang Jin , Shao-Ming Fei , Cong-Feng Qiao

Monogamy and Polygamy are important properties of entanglement, which characterize the entanglement distribution of multipartite systems. We study general monogamy and polygamy relations based on the $\alpha$th $(0\leq\alpha\leq \gamma)$…

Quantum Physics · Physics 2023-02-28 Bing Xie , Ming-Jing Zhao , Bo Li

The distribution of quantum correlations in multipartite systems play a significant role in several aspects of the quantum information theory. While it is well known that these quantum correlations can not be freely distributed, the way…

Quantum Physics · Physics 2018-02-05 J. S. S. Ferreira , D. Filenga , M. F. Cornelio , F. F. Fanchini

We investigate the tight monogamy and polygamy relations of multiparty entanglement for arbitrary quantum states. By using the power of the bipartite measure of entanglement, we establish a class of tight monogamy relations of multiparty…

Quantum Physics · Physics 2021-05-11 Limin Gao , Fengli Yan , Ting Gao
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