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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…

量子物理 · 物理学 2018-07-24 Zhi-Xiang Jin , Shao-Ming Fei

We study generalized concurrences as a tool to detect the entanglement of bipartite quantum systems. By considering the case of 2 X 4 states of rank 2, we prove that generalized concurrences do not, in general, give a necessary and…

量子物理 · 物理学 2008-07-23 Laura Cattaneo , Domenico D'Alessandro

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 distribution of quantum correlations characterized by monogamy relations in multipartite systems. By using the Hamming weight of the binary vectors associated with the subsystems, we establish a class of monogamy inequalities…

量子物理 · 物理学 2018-12-04 Zhi-Xiang Jin , Shao-Ming Fei

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

Entanglement monotones, such as the concurrence, are useful tools to characterize quantum correlations in various physical systems. The computation of the concurrence involves, however, difficult optimizations and only for the simplest case…

量子物理 · 物理学 2012-11-20 Zhi-Hua Chen , Zhi-Hao Ma , Otfried Gühne , Simone Severini

In contrast to abstract statistical analyses in the literature, we present a concrete physical diagrammatic model of entanglement characterization and measure with its underlying discrete phase-space physics. This paper serves as a…

量子物理 · 物理学 2023-05-30 Felix A. Buot

We present a new kind of monogamous relations based on concurrence and concurrence of assistance. For $N$-qubit systems $ABC_1...C_{N-2}$, the monogamy relations satisfied by the concurrence of $N$-qubit pure states under the partition $AB$…

量子物理 · 物理学 2016-01-20 Xue-Na Zhu , Shao-Ming Fei

We study the monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. We first derive the monogamy inequality of unified-$(q, s)$ entanglement for multi-qubit states under arbitrary bipartition, and then…

量子物理 · 物理学 2022-05-16 Mei-Ming Zhang , Naihuan Jing , Hui Zhao

Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $\alpha$-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement…

量子物理 · 物理学 2025-05-12 Ke-Ke Wang , Zhi-Wei Wei , Shao-Ming Fei

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

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…

量子物理 · 物理学 2012-06-15 Jeong San Kim

Since entanglement is not an observable per se, measuring its value in practice is a difficult task. Here we propose a protocol for quantifying a particular entanglement measure, namely concurrence, of an arbitrary two-qubit pure state via…

量子物理 · 物理学 2017-05-10 Mikko Tukiainen , Hirokazu Kobayashi , Yutaka Shikano

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

We introduce a complete set of complementary quantities in bipartite, two-dimensional systems. Complementarity then relates the quantitative entanglement measure concurrence which is a bipartite property to the single-particle quantum…

量子物理 · 物理学 2007-05-23 Matthias Jakob , Janos A. Bergou

In this paper we consider a system consist of a qubit and a qutrit, and find a formula to evaluate the concurrence for it. We show that entanglement of formation for this system obeys the same relation as for two-qubits.

量子物理 · 物理学 2007-05-23 Safa Jami , Mohsen Sarbishei

Quantum entanglement and quantum entropy are crucial concepts in the study of multipartite quantum systems. In this work we show how the notion of concurrence vector, re-expressed in a particularly useful form, provides new insights and…

量子物理 · 物理学 2024-02-16 A. Bernal , J. A. Casas , J. M. Moreno

Multipartite entanglement is an indispensable resource in quantum communication and computation, however, it is a challenging task to faithfully quantify this global property of multipartite quantum systems. In this work, we study the…

量子物理 · 物理学 2023-12-05 Xiaozhen Ge , Lijun Liu , Shuming Cheng

In this paper, we investigate the hierarchical structure of the $n$-partite quantum states. We present a whole set of hierarchical quantifications as a method of characterizing quantum states, which go beyond genuine multipartite…

量子物理 · 物理学 2025-03-26 Hui Li , Ting Gao , Fengli Yan

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