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Related papers: Multiqubit monogamy relations beyond shadow inequa…

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We investigate monogamy of correlations and entropy inequalities in the Bloch representation. Here, both can be understood as direct relations between different correlation tensor elements and thus appear intimately related. To that end we…

Quantum Physics · Physics 2020-03-12 Paul Appel , Marcus Huber , Claude Klöckl

We provide a family of general monogamy inequalities for global quantum discord (GQD), which can be considered as an extension of the usual discord monogamy inequality. It can be shown that those inequalities are satisfied under the similar…

Quantum Physics · Physics 2016-08-18 Si-Yuan Liu , Yu-Ran Zhang , Li-Ming Zhao , Wen-Li Yang , Heng Fan

We provide a characterization of multiqubit entanglement monogamy and polygamy constraints in terms of negativity. Using the square of convex-roof extended negativity (SCREN) and the Hamming weight of the binary vector related to the…

Quantum Physics · Physics 2019-12-03 Long-Mei Yang , Bin Chen , Shao-Ming Fei , Zhi-Xi Wang

Non-locality is a fundamental trait of quantum many-body systems, both at the level of pure states, as well as at the level of mixed states. Due to non-locality, mixed states of any two subsystems are correlated in a stronger way than what…

Statistical Mechanics · Physics 2016-09-28 Daniele Malpetti , Tommaso Roscilde

Two overlapping bipartite binary input Bell inequalities cannot be simultaneously violated as this would contradict the usual no-signalling principle. This property is known as monogamy of Bell inequality violations and generally Bell…

Quantum Physics · Physics 2018-09-12 Ravishankar Ramanathan , Piotr Mironowicz

Entangled many-body states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to an exponential number of parameters. We show that in the case…

Quantum Physics · Physics 2014-11-17 Michael Walter , Brent Doran , David Gross , Matthias Christandl

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-($q,s$)…

Quantum Physics · Physics 2024-11-19 Zhong-Xi Shen , Wen Zhou , Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

Bipartite quantum entanglement for qutrits and higher-dimensional objects is considered. We analyze the possibility of violation of monogamy inequality, introduced by Coffman, Kundu, and Wootters, for some systems composed of such objects.…

Quantum Physics · Physics 2015-06-26 Yong-Cheng Ou

We show that restricted shareability of multi-qubit entanglement can be fully characterized by unified-$(q,s)$ entropy. We provide a two-parameter class of bipartite entanglement measures, namely unified-$(q,s)$ entanglement with its…

Quantum Physics · Physics 2011-06-22 Jeong San Kim , Barry C. Sanders

This work aims to understand the monogamy of quantum entanglement from a geometrical point of view. By regarding quantum entanglement as a geometrical structure on the state space of quantum systems and attributing all entanglement related…

Quantum Physics · Physics 2017-12-14 X. Dong , H. W. Chen , L. Zhou

Entanglement is a key resource of quantum science for tasks that require it to be shared among participants. Within atomic, condensed matter and photonic many-body systems the distribution and sharing of entanglement is of particular…

Quantum Physics · Physics 2015-11-16 Xiao-Feng Qian , Miguel A. Alonso , J. H. Eberly

The monogamy of entanglement means that entanglement cannot be freely shared. In 2014, Oliveira et al. [ Oliveira et al., Phys. Rev. A. 89, 034303 (2014)] proposed a monogamy relation in the linear version and considered it in terms of…

Quantum Physics · Physics 2021-08-04 Xian Shi , Lin Chen , Mengyao Hu

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…

Quantum Physics · Physics 2015-08-31 Jeong San Kim

The distribution of coherence in multipartite systems is one of the fundamental problems in the resource theory of coherence. To quantify the coherence in multipartite systems more precisely, we introduce new coherence measures,…

Quantum Physics · Physics 2017-10-25 Kaifeng Bu , Lu Li , Arun Kumar Pati , Shao-Ming Fei , Junde Wu

We study generalized monogamy and polygamy relations for concurrence of assistance and negativity of assistance using parametrized bounds in general multi-partite quantum systems. The new method overcomes the shortcomings of previous…

Quantum Physics · Physics 2024-11-07 Yue Cao , Naihuan Jing , Yiling Wang

Quantum entanglement is known to be monogamous, i.e., it obeys strong constraints on how the entanglement can be distributed among multipartite systems. Almost all the entanglement monotones so far are shown to be monogamous. We explore…

Quantum Physics · Physics 2023-09-01 Yu Guo

Locally accessible information is a useful information-theoretic physical quantity of an ensemble of multiparty quantum states. We find it has properties akin to quantum as well as classical correlations of single multiparty quantum states.…

Quantum Physics · Physics 2013-03-06 Aditi Sen De , Ujjwal Sen

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…

Quantum Physics · Physics 2025-03-04 Yue Cao , Naihuan Jing , Kailash Misra , Yiling Wang

Measurements profoundly impact quantum systems, and can be used to create novel states of matter out of equilibrium. We investigate the multipartite entanglement structure that emerges in hybrid quantum circuits involving unitaries and…

Quantum Physics · Physics 2025-07-04 Sebastien J Avakian , T. Pereg-Barnea , William Witczak-Krempa

We report a set of monogamy constraints on one-tangle, two-tangles, three-tangles and four-way correlations of a general four-qubit pure state. It is found that given a two-qubit marginal state $\rho$ of a four qubit pure state $\left\vert…

Quantum Physics · Physics 2022-08-16 S. Shelly Sharma