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相关论文: Tighter monogamy and polygamy relations using R\'{…

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We present a class of tight monogamy relations in terms of R\'{e}nyi-$\alpha$ entanglement, which are tighter than the monogamy relations of multiqubit entanglement just based on the power of the R\'{e}nyi-$\alpha$ entanglement for…

量子物理 · 物理学 2021-05-11 Limin Gao , Fengli Yan , Ting Gao

We prove a new polygamy relation of multi-party quantum entanglement in terms of R\'{e}nyi-$\alpha$ entanglement of assistance for $\left( {\sqrt 7 - 1} \right)/2\leq\alpha \leq \left( {\sqrt 13 - 1} \right)/2$. This class of polygamy…

量子物理 · 物理学 2022-01-04 Wei Song , Jian Zhou , Ming Yang , Jun-Long Zhao , Da-Chuang Li , Li-Hua Zhang , Zhuo-Liang Cao

Quantum entanglement plays essential roles in quantum information processing. The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related…

量子物理 · 物理学 2020-06-17 Meng-Li Guo , Bo-Li , Zhi-Xi Wang , Shao-Ming Fei

Monogamy relations characterize the distributions of quantum entanglement in multipartite systems. In this work, we present some tighter monogamy relations in terms of the power of the Tsallis-q and R\'{e}nyi-$\alpha$ entanglement in…

量子物理 · 物理学 2022-05-10 Rongxia Qi , 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…

量子物理 · 物理学 2017-02-21 Zhi-Xiang Jin , Shao-Ming Fei

Using R\'enyi-$\alpha$ entropy to quantify bipartite entanglement, we prove monogamy of entanglement in multi-qubit systems for $\alpha \geq 2$. We also conjecture a polygamy inequality of multi-qubit entanglement with strong numerical…

量子物理 · 物理学 2010-10-22 Jeong San Kim , Barry C. Sanders

We investigate monogamy relations and upper bounds for generalized $W$-class states related to the R\'{e}nyi-$\alpha$ entropy. First, we present an analytical formula on R\'{e}nyi-$\alpha$ entanglement (R$\alpha$E) and R\'{e}nyi-$\alpha$…

量子物理 · 物理学 2021-02-03 Yanying Liang , Zhu-Jun Zheng , Chuan-Jie Zhu

We present classes of monogamy inequalities related to the $\alpha$-th ($\alpha \geq 1$) power of the entanglement measure based on the unified-($q,s$) entropy, and polygamy inequalities related to the $\beta$-th ($0 \leq \beta \leq 1$)…

量子物理 · 物理学 2021-10-25 Ya-Ya Ren , Zhi-Xi Wang , Shao-Ming Fei

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…

量子物理 · 物理学 2025-03-04 Yue Cao , Naihuan Jing , Kailash Misra , Yiling Wang

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence C, the entanglement of formation E, negativity Nc and Tsallis-q entanglement Tq.…

量子物理 · 物理学 2018-04-02 Zhi-Xiang Jin , Jun Li , Tao Li , Shao-Ming Fei

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…

量子物理 · 物理学 2021-05-11 Limin Gao , Fengli Yan , Ting Gao

We investigate the monogamy relations related to the concurrence, the entanglement of formation, convex-roof extended negativity, Tsallis-q entanglement and R'enyi-{\alpha} entanglement, the polygamy relations related to the entanglement of…

量子物理 · 物理学 2022-01-04 Wen-Wen Liu , Zi-Feng Yang , Shao-Ming Fei

Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entanglement of formation,…

量子物理 · 物理学 2019-06-11 Long-Mei Yang , Bin Chen , Shao-Ming Fei , Zhi-Xi Wang

We prove that the squared R\'{e}nyi-$\alpha$ entanglement (SR$\alpha$E), which is the generalization of entanglement of formation (EOF), obeys a general monogamy inequality in an arbitrary $N$-qubit mixed state. Furthermore, for a class of…

量子物理 · 物理学 2016-02-11 Wei Song , Yan-Kui Bai , Mou Yang , Ming Yang , Zhuo-Liang Cao

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…

量子物理 · 物理学 2021-09-24 Le-Min Lai , Shao-Ming Fei , Zhi-Xi Wang

For multipartite entangled states, entanglement monogamy is an important property. We investigate the monogamy relations for multiqubit generalized W-class states. We present new analytical monogamy inequalities satisfied by the $x$-th…

量子物理 · 物理学 2017-04-25 Yanying Liang , Xiufang Feng , Wei Chen

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…

量子物理 · 物理学 2026-03-16 Chenxiao Wang , Limin Gao

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…

量子物理 · 物理学 2019-02-26 Bin Chen , Long-Mei Yang , Shao-Ming Fei , Zhi-Xi 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…

量子物理 · 物理学 2020-10-13 Zhi-Xiang Jin , Shao-Ming Fei

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…

量子物理 · 物理学 2020-10-14 Zhi-Xiang Jin , Shao-Ming Fei
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