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We establish a characterization of multi-qubit entanglement constraints in terms of non-negative power of entanglement measures based on unified-$(q,s)$ entropy. Using the Hamming weight of the binary vector related with the distribution of…

量子物理 · 物理学 2018-08-21 Jeong San Kim

We introduce a monogamy inequality for quantum correlations, which implies that the sum of pairwise quantum correlations is upper limited by the amount of multipartite quantum correlations as measured by the global quantum discord. This…

量子物理 · 物理学 2012-12-17 H. C. Braga , C. C. Rulli , Thiago R. de Oliveira , M. S. Sarandy

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

There is an interesting property about multipartite entanglement, called the monogamy of entanglement. The property can be shown by the monogamy inequality, called the Coffman-Kundu-Wootters inequality [Phys. Rev. A {\bf 61}, 052306 (2000);…

量子物理 · 物理学 2009-11-13 Dong Pyo Chi , Jeong Woon Choi , Kabgyun Jeong , Jeong San Kim , Taewan Kim , Soojoon Lee

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…

量子物理 · 物理学 2022-02-07 Jin-Hong Hao , Ya-Ya Ren , Qiao-Qiao Lv , Zhi-Xi Wang , Shao-Ming Fei

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…

量子物理 · 物理学 2022-10-25 Yudie Gu , Yanmin Yang , Jialing Zhang , Wei Chen

The monogamy of entanglement stands as an indispensable feature within multipartite quantum systems. We study monogamy relations with respect to any partitions for the generalized $W$-class (GW) states based on the unified-($q,s$)…

量子物理 · 物理学 2024-11-19 Zhong-Xi Shen , Wen Zhou , Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

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…

量子物理 · 物理学 2022-06-22 Xiao-Lan Zong , Hao-Hao Yin , Wei Song , Zhuo-Liang Cao

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…

量子物理 · 物理学 2022-11-23 Hui Li , Ting Gao , Fengli Yan

In this chapter we review the characterization of entanglement in Gaussian states of continuous variable systems. For two-mode Gaussian states, we discuss how their bipartite entanglement can be accurately quantified in terms of the global…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Fabrizio Illuminati

Entanglement monogamy is a fundamental property of multipartite entangled states. We investigate the monogamy relations for multiqubit generalized W-class states. Analytical monogamy inequalities are obtained for the concurrence of…

量子物理 · 物理学 2017-02-21 Xue-Na Zhu , 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

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…

量子物理 · 物理学 2019-08-20 Xuena Zhu , Zhixiang Jin , Shaoming 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 provide a complete analysis of mixed three-qubit states composed of a GHZ state and a W state orthogonal to the former. We present optimal decompositions and convex roofs for the three-tangle. Further, we provide an analytical method to…

量子物理 · 物理学 2007-05-23 Robert Lohmayer , Andreas Osterloh , Jens Siewert , Armin Uhlmann

We derive a tight and saturable monogamy relation for three-qubit pure states that bounds the sum of concurrence and concurrence of assistance by the entanglement with an external qubit. The bound decreases strictly with increasing external…

量子物理 · 物理学 2026-04-21 Limin Gao , Chenxiao Wang

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

Although many different entanglement measures have been proposed so far, much less is known in the multipartite case, which leads to the previous monogamy relations in literatures are not complete. We establish here a strict framework for…

量子物理 · 物理学 2020-03-11 Yu Guo , Lin Zhang

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

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…

量子物理 · 物理学 2024-02-26 Yue Cao , Naihuan Jing , Yiling Wang