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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

A well-known property of quantum nonlocality is monogamy. However, recent research by Silva \emph{et al.} shows that multiple observers can share the nonlocality by using weak measurements [Phys. Rev. Lett. 114, 250401 (2015)]. There is an…

量子物理 · 物理学 2020-10-01 Changliang Ren , Tianfeng Feng , Dan Yao , Jingling Chen , Xiaoqi Zhou

Monogamy relations place restrictions on the shareability of quantum corellations in multipartite states. Being an intrinsic quantum feature, monogamy property throws light on {\emph{residual}} entanglement, an entanglement which is not…

量子物理 · 物理学 2021-12-28 Sudha , K. S. Akhilesh , B. G. Divyamani , A. R. Ushadevi , K. S. Mallesh

Quantum entanglement for multiparty system has a unique feature when it comes to sharing its property among various subsystems. This is famously stated as the monogamy of entanglement. The traditional monogamy of concurrence for tripartite…

量子物理 · 物理学 2022-05-04 Ida Mishra , Arun K Pati , Sohail

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…

量子物理 · 物理学 2024-07-26 Yue Cao , Naihuan Jing , Kailash Misra , Yiling Wang

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, for any finite $n \geq 2$, that there exist quantum correlations obtained from performing $n$ dichotomic quantum measurements in a bipartite Bell scenario, which cannot be reproduced by mixtures of measurement devices with at most…

量子物理 · 物理学 2025-07-16 Lucas Tendick

Our main result is a monogamy inequality satisfied by the entanglement of a focus qubit (one-tangle) in a four-qubit pure state and entanglement of subsystems. Analytical relations between three-tangles of three-qubit marginal states,…

量子物理 · 物理学 2018-06-13 S. Shelly Sharma , N. K. Sharma

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

A complete characterization and quantification of entanglement, particularly the multipartite entanglement, remains an unfinished long-term goal in quantum information theory. As long as the multipartite system is concerned, the relation…

量子物理 · 物理学 2025-08-20 Yu Guo

We characterize the polygamy nature of quantum entanglement in multi-party systems in terms of $q$-expectation value for the full range of $q\geq 1$. By investigating some properties of generalized quantum correlations in terms of…

量子物理 · 物理学 2020-01-01 Jeong San Kim

It is well known that measurements performed on spatially separated entangled quantum systems can give rise to correlations that are non-local, in the sense that a Bell inequality is violated. They cannot, however, be used for super-luminal…

量子物理 · 物理学 2007-10-22 Jonathan Barrett , Noah Linden , Serge Massar , Stefano Pironio , Sandu Popescu , David Roberts

We provide a strong evidence for strong monogamy inequality of multi-qubit entanglement recently proposed in [B. Regula {\em et al.}, Phys. Rev. Lett. {\bf 113}, 110501 (2014)]. We consider a large class of multi-qubit generalized W-class…

量子物理 · 物理学 2015-08-31 Jeong San Kim

Violation of a Bell inequality guarantees the existence of quantum correlations in a quantum state. A pure bipartite quantum state, having nonvanishing quantum correlation, always violates a Bell inequality. Such correspondence is absent…

量子物理 · 物理学 2016-07-06 Kunal Sharma , Tamoghna Das , Aditi Sen De , Ujjwal Sen

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 establish duality for monogamy of entanglement: whereas monogamy of entanglement inequalities provide an upper bound for bipartite sharability of entanglement in a multipartite system, we prove that the same quantity provides a…

量子物理 · 物理学 2007-05-23 Somshubhro Bandyopadhyay , Gilad Gour , Barry C. Sanders

We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical-classical-quantum(ccq) states whose quantum parts are…

量子物理 · 物理学 2021-02-02 Jeong San Kim

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

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

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