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Quantum entanglement and quantum non-locality are known to exhibit monogamy, that is, they obey strong constraints on how they can be distributed among multipartite systems. Quantum correlations that comprise and go beyond entanglement are…

Quantum Physics · Physics 2012-08-03 Alexander Streltsov , Gerardo Adesso , Marco Piani , Dagmar Bruss

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…

Quantum Physics · Physics 2020-10-13 Zhi-Xiang Jin , Shao-Ming Fei

We introduce the concept of monogamy deficit for quantum correlation by combining together two types of monogamy inequalities depending on different measurement sides. For tripartite pure state, we demonstrate a relation which connects two…

Quantum Physics · Physics 2013-07-05 Si-Yuan Liu , Bo Li , Wen-Li Yang , Heng Fan

Monogamy of quantum correlation measures puts restrictions on the sharability of quantum correlations in multiparty quantum states. Multiparty quantum states can satisfy or violate monogamy relations with respect to given quantum…

Quantum Physics · Physics 2014-07-18 Salini K. , R. Prabhu , Aditi Sen De , Ujjwal Sen

We consider a monogamy inequality of quantum discord in a pure tripartite state and show that it is equivalent to an inequality between quantum mutual information and entanglement of formation of two parties. Since this inequality does not…

Quantum Physics · Physics 2013-02-13 Xi-Jun Ren , Heng Fan

Monogamy and polygamy are the most striking features of the quantum world. We investigate the monogamy and polygamy relations satisfied by all quantum correlation measures for arbitrary multipartite quantum states. By introducing residual…

Quantum Physics · Physics 2020-10-09 Zhi-Xiang Jin , Shao-Ming Fei

We review some concepts and properties of quantum correlations, in particular multipartite measures, geometric measures and monogamy relations. We also discuss the relation between classical and total correlations

Quantum Physics · Physics 2017-06-13 Thiago R. de Oliveira

We provide a generalized definition of polygamy relations for any quantum correlation measures. Instead of the usual polygamy inequality, a polygamy relation with equality is given by introducing the polygamy weight. From the polygamy…

Quantum Physics · Physics 2023-09-27 Zhi-Xiang Jin , Bing Yu , Xue-Na Zhu , Shao-Ming Fei , Cong-Feng Qiao

We introduce a monogamy inequality for quantum correlations, which implies that the sum of pairwise quantum correlations is upper limited by the amount of multipartite quantum correlations as measured by the global quantum discord. This…

Quantum Physics · Physics 2012-12-17 H. C. Braga , C. C. Rulli , Thiago R. de Oliveira , M. S. Sarandy

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

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

We propose a global measure for quantum correlations in multipartite systems, which is obtained by suitably recasting the quantum discord in terms of relative entropy and local von Neumann measurements. The measure is symmetric with respect…

Quantum Physics · Physics 2011-11-28 C. C. Rulli , M. S. Sarandy

We explore the quantum correlation distribution in multipartite quantum states based on the square of quantum discord (SQD). For tripartite quantum systems, we derive the necessary and sufficient condition for the SQD to satisfy the…

Quantum Physics · Physics 2015-06-05 Yan-Kui Bai , Na Zhang , Ming-Yong Ye , Z. D. Wang

One of the fundamental differences between classical and quantum mechanics is in the ways correlations can be distributed among the many parties that compose a system. While classical correlations can be shared among many subsystems, in…

Quantum Physics · Physics 2020-09-09 Marcos L. W. Basso , Jonas Maziero

Monogamy is an intrinsic feature of quantum correlations that gives rise to several interesting quantum characteristics which are not amenable to classical explanations. The monogamy property imposes physical restrictions on unconditional…

Quantum Physics · Physics 2017-08-02 Himadri Shekhar Dhar , Amit Kumar Pal , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

The shareability of quantum correlations among the constituent parties of a multiparty quantum system is restricted by the quantum information theoretic concept called monogamy. Depending on the multiparty quantum systems, different…

Quantum Physics · Physics 2024-04-05 P. Kiran , Harsha Miriam Reji , Hemant Shreepad Hegde , R. Prabhu

An interesting monogamy equation with the form of Pythagorean theorem is found for $2\otimes 2\otimes n$-dimensional pure states, which reveals the relation among bipartite concurrence, concurrence of assistance, and genuine tripartite…

Quantum Physics · Physics 2009-11-13 Chang-shui Yu , He-shan Song

Monogamy is a nonclassical property that limits the distribution of quantum correlation among subparts of a multiparty system. We show that monogamy scores for different quantum correlation measures are bounded above by functions of genuine…

Quantum Physics · Physics 2017-06-21 Asutosh Kumar , Himadri Shekhar Dhar , R. Prabhu , Aditi Sen De , Ujjwal Sen

Quantum correlation includes quantum entanglement and quantum discord. Both entanglement and discord have a common necessary condition--------quantum coherence or quantum superposition. In this paper, we attempt to give an alternative…

Quantum Physics · Physics 2014-09-23 Chang-shui Yu , Yang Zhang , Haiqing Zhao

We study the monogamy and polygamy inequalities of quantum correlations in arbitrary dimensional multipartite quantum systems. We first derive the monogamy inequality of the $\alpha$th ($0\leq\alpha\leq\frac{r}{2}, r\geq2$) power of…

Quantum Physics · Physics 2022-02-08 Mei-Ming Zhang , Naihuan Jing , Hui Zhao
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