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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

Monogamy is a defining feature of entanglement, having far reaching applications. Recently, Regula \textit{et.al.} in Phys. Rev. Lett. \textbf{113}, 110501(2014) have proposed a stronger version of monogamy relation for concurrence. We have…

量子物理 · 物理学 2023-07-12 Sumana Karmakar , Ajoy Sen , Amit Bhar , Debasis Sarkar

We demonstrate the existence of general constraints on distributed quantum correlations, which impose a trade-off on bipartite and multipartite entanglement at once. For all N-mode Gaussian states under permutation invariance, we establish…

量子物理 · 物理学 2007-10-09 Gerardo Adesso , Fabrizio Illuminati

We show that the polygamous nature of multi-party quantum correlations can be characterized in a {\em stronger} form based on Tsallis $q$-entropy and $q$-expectation value. By considering the amount of entanglement that can be distributed…

量子物理 · 物理学 2021-02-03 Jeong San Kim

We study the entanglement of unitary operators on $d_1\times d_2$ quantum systems. This quantity is closely related to the entangling power of the associated quantum evolutions. The entanglement of a class of unitary operators is quantified…

量子物理 · 物理学 2009-11-07 X. Wang , P. Zanardi

A simple relation is introduced for concurrence to describe how much the entanglement of bipartite system is at least left if either (or both) subsystem undergoes an arbitrary physical process. This provides a lower bound for concurrence of…

量子物理 · 物理学 2009-11-13 Chang-shui Yu , X X Yi , He-shan Song

We investigate parameterized multipartite entanglement measures from the perspective of $k$-nonseparability in this paper. We present two types of entanglement measures in $n$-partite systems, $q$-$k$-ME concurrence $(q\geq2,~2\leq k\leq…

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

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

Concurrence is an important entanglement measure for states in finite-dimensional quantum systems that was explored intensively in the last decade. In this paper, we extend the concept of concurrence to infinite-dimensional bipartite…

量子物理 · 物理学 2012-03-20 Yu Guo , Jinchuan Hou , Yuncai Wang

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

To quantify the entanglement of bipartite systems in terms of some entanglement measure is a challenging problem in general, and it is much worse when the information about the system is less. In this manuscript, based on two classes of…

量子物理 · 物理学 2024-01-01 Xian Shi

The monogamy relations of quantum correlation restrict the sharability of quantum correlations in multipartite quantum states. We show that all measures of quantum correlations satisfy some kind of monogamy relations for arbitrary…

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

We introduce an entanglement-related quantity that we call the binegativity. Based on numerical evidence, we conjecture that the binegativity is an entanglement measure for two-qubit states. The binegativity is compared to the concurrence…

量子物理 · 物理学 2017-02-13 Mark W. Girard , Gilad Gour

In this paper, we study the $\alpha$th power monogamy properties related to the entanglement measure in bipartite states. The monogamy relations related to the $\alpha$th power of negativity and the Convex- Roof Extended Negativity are…

量子物理 · 物理学 2018-08-02 Yu Luo , Yongming Li

Using Tsallis-q entropy, we introduce the generalized concept of global quantum discord, namely the q-global quantum discord, and provide its analytic evaluation for two classes of multi-qubit states. We also provide a sufficient condition,…

量子物理 · 物理学 2013-07-04 Dong Pyo Chi , Jeong San Kim , Kyungjin Lee

We study the entanglement of a multipartite quantum state. An inequality between the bipartite concurrence and the multipartite concurrence is obtained. More effective lower and upper bounds of the multipartite concurrence are obtained. By…

量子物理 · 物理学 2015-05-19 Ming Li , Shao-Ming Fei , Zhi-Xi Wang

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…

量子物理 · 物理学 2025-02-18 Wen Zhou , Zhong-Xi Shen , Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

We propose a novel parameterized entanglement measure $\alpha$-concurrence for bipartite systems. By employing positive partial transposition and realignment criteria, we derive analytical lower bounds for the $\alpha$-concurrence.…

量子物理 · 物理学 2022-06-17 Zhi-Wei Wei , Shao-Ming Fei

Quantum entanglement and its paradoxical properties hold the key to an information processing revolution. Much attention has focused recently on the challenging problem of characterizing entanglement. Entanglement for a two qubit system is…

量子物理 · 物理学 2009-11-07 Vivien M Kendon , Kae Nemoto , William J Munro

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