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Related papers: Tighter bounds for generalized monogamy and polyga…

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We seek a systematic tightening method to represent the monogamy relation for some measure in multipartite quantum systems. By introducing a family of parametrized bounds, we obtain tighter lowering bounds for the monogamy relation compared…

Quantum Physics · Physics 2024-07-26 Yue Cao , Naihuan Jing , Kailash Misra , Yiling Wang

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

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 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

This research offers a comprehensive approach to strengthening both monogamous and polygamous relationships within the context of quantum correlations in multipartite quantum systems. We present the most stringent bounds for both monogamy…

Quantum Physics · Physics 2024-02-26 Yue Cao , Naihuan Jing , Yiling Wang

Monogamy and polygamy relations characterize the quantum correlation distributions among multipartite quantum systems. We investigate the monogamy and polygamy relations satisfied by measures of general quantum correlation. By using the…

Quantum Physics · Physics 2022-02-07 Jin-Hong Hao , Ya-Ya Ren , Qiao-Qiao Lv , Zhi-Xi Wang , Shao-Ming Fei

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

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate the monogamy relations satisfied by the concurrence of assistance and the negativity of assistance for multiqubit generalized…

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

We investigate tight monogamy relations of multiparty quantum entanglement for any quantum state in this paper. First, we obtain a class of lower bounds for multiparty quantum systems which improve the previous results. Next, we establish a…

Quantum Physics · Physics 2022-11-23 Hui Li , Ting Gao , Fengli Yan

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

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

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

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

Monogamy and polygamy of quantum correlations are the fundamental properties of quantum systems. We study the monogamy and polygamy relations satisfied by any quantum correlations in multipartite quantum systems. General monogamy relations…

Quantum Physics · Physics 2023-12-19 Zhong-Xi Shen , Ke-Ke Wang , Shao-Ming Fei

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

We present a different kind of monogamy and polygamy relations based on concurrence and concurrence of assistance for multiqubit systems. By relabeling the subsystems associated with different weights, a smaller upper bound of the…

Quantum Physics · Physics 2020-10-14 Zhi-Xiang Jin , 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

By analyzing the reduced density matrices derived from a generalized $W$-class state under any partition, we present new analytical monogamy inequalities satisfied by the $\alpha$-th ($\alpha\geq\gamma,~\gamma\geq2$) power and $\beta$-th…

Quantum Physics · Physics 2025-02-18 Wen Zhou , Zhong-Xi Shen , Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

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

It is well known that any well-defined bipartite entanglement measure $\mathcal{E}$ obeys $\gamma$th-monogamy relations Eq. (1.1) and assisted measure $\mathcal{E}_{a}$ obeys $\delta$th-polygamy relations Eq. (1.2). Recently, we presented a…

Quantum Physics · Physics 2025-03-04 Yue Cao , Naihuan Jing , Kailash Misra , Yiling Wang
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