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Concurrence, as one of entanglement measures, is a useful tool to characterize quantum entanglement in various quantum systems. However, the computation of the concurrence involves difficult optimizations and only for the case of two qubits…

Quantum Physics · Physics 2017-03-06 Xianfei Qi , Ting Gao , Femgli Yan

In multiparty quantum systems, the monogamy inequality proposes an upper bound on the distribution of bipartite quantum correlation between a single party and each of the remaining parties in the system, in terms of the amount of quantum…

Quantum Physics · Physics 2016-06-28 Asutosh Kumar , Himadri Shekhar Dhar

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

Quantum correlations are subject to certain distribution rules represented by so-called monogamy relations. Derivation of monogamy relations for multipartite systems is a non-trivial problem, as the multipartite correlations reveal their…

Quantum Physics · Physics 2025-10-08 Junghee Ryu , Daemin Lee , Jinhyoung Lee , Paweł Kurzyński , Dagomir Kaszlikowski

The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of them has to be less entangled with the third party. Here we qualitatively…

Quantum Physics · Physics 2012-09-20 Lin Chen , Masahito Hayashi

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…

Quantum Physics · Physics 2022-02-07 Jin-Hong Hao , Ya-Ya Ren , Qiao-Qiao Lv , Zhi-Xi Wang , Shao-Ming Fei

Entanglement negativity is a measure of mixed-state entanglement increasingly used to investigate and characterize emerging quantum many-body phenomena, including quantum criticality and topological order. We present two results for the…

Quantum Physics · Physics 2015-06-18 Huan He , Guifre Vidal

Quantum discord, an information-theoretic quantum correlation measure, can satisfy as well as violate monogamy, for three-party quantum states. We quantify the feature using the concept of discord monogamy score. We find a necessary…

Quantum Physics · Physics 2014-04-21 Manabendra N. Bera , R. Prabhu , Aditi Sen De , Ujjwal Sen

The monogamy of quantum entanglement captures the property of limitation in the distribution of entanglement. Various monogamy relations exist for different entanglement measures that are important in quantum information processing. Our…

Quantum Physics · Physics 2021-11-29 Xue Yang , Ming-Xing Luo

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence C, the entanglement of formation E, negativity Nc and Tsallis-q entanglement Tq.…

Quantum Physics · Physics 2018-04-02 Zhi-Xiang Jin , Jun Li , Tao Li , Shao-Ming Fei

Quantum correlations are expected to respect all the conditions required for them to be good measures of quantumness in the bipartite scenario. In a multipartite setting, sharing entanglement between several parties is restricted by the…

Quantum Physics · Physics 2014-04-21 R. Prabhu , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

We examine here the proposition that all multiparty quantum states can be made monogamous by considering positive integral powers of any quantum correlation measure. With Rajagopal-Rendell quantum deficit as the measure of quantum…

Quantum Physics · Physics 2015-06-22 P. J. Geetha , Sudha , A. R. Usha Devi

We investigate the monogamy relations related to the concurrence and the entanglement of formation. General monogamy inequalities given by the {\alpha}th power of concurrence and entanglement of formation are presented for N-qubit states.…

Quantum Physics · Physics 2014-09-04 Xuena Zhu , Shaoming Fei

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…

Quantum Physics · Physics 2007-05-23 Robert Lohmayer , Andreas Osterloh , Jens Siewert , Armin Uhlmann

The monogamy of quantum correlations is a fundamental principle in quantum information processing, limiting how quantum correlations can be shared among multiple subsystems. Here we propose a theoretical scheme to investigate the monogamy…

Quantum Physics · Physics 2025-10-14 Hamza Harraf , Mohamed Amazioug , Amjad Sohail , Rachid Ahl Laamara

We study the concurrence of four-qubit quantum states and provide analytical lower bounds of concurrence in terms of the monogamy inequality of concurrence for qubit systems. It is shown that these lower bounds are able to improve the…

Quantum Physics · Physics 2014-02-11 Xue-Na Zhu , Shao-Ming Fei

The limitation on the shareability of quantum entanglement over several parties, the so-called monogamy of entanglement, is an issue that has caught considerable attention of quantum informa- tion community over the last decade. A natural…

Quantum Physics · Physics 2012-09-11 Sudha , A. R. Usha Devi , A. K. Rajagopal

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…

Quantum Physics · Physics 2025-02-18 Wen Zhou , Zhong-Xi Shen , Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

In this article, we theoretically study, in an atomic-optomechanical system, quantum correlations shared between three modes, namely mechanical mode, optical mode and atomic mode. We firstly investigate the combined effect of the variation…

Quantum Physics · Physics 2023-11-09 Jamila Hmouch , Mohamed Amazioug , Mostafa Nassik

The quantum steering ellipsoid can be used to visualise two-qubit states, and thus provides a generalisation of the Bloch picture for the single qubit. Recently, a monogamy relation for the volumes of steering ellipsoids has been derived…

Quantum Physics · Physics 2016-10-12 Shuming Cheng , Antony Milne , Michael J. W. Hall , Howard M. Wiseman
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