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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

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

Multipartite entanglement holds great importance in quantum information processing. The distribution of entanglement among subsystems can be characterized by monogamy relations. Based on the $\beta$th power of concurrence and negativity, we…

Quantum Physics · Physics 2023-12-19 Jia-Yi Li , Zhong-Xi Shen , Shao-Ming Fei

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 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

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

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

We investigate the distribution property of one way discord in multipartite system by introducing the concept of polygamy deficit for one way discord. The difference between one way discord and quantum discord is analogue to the difference…

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

We study the distribution of quantum correlations characterized by monogamy relations in multipartite systems. By using the Hamming weight of the binary vectors associated with the subsystems, we establish a class of monogamy inequalities…

Quantum Physics · Physics 2018-12-04 Zhi-Xiang Jin , Shao-Ming Fei

We propose a new type of polygamy inequality for multi-party quantum entanglement. We first consider the possible amount of bipartite entanglement distributed between a fixed party and any subset of the rest parties in a multi-party quantum…

Quantum Physics · Physics 2014-11-19 Jeong San Kim

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 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…

Quantum Physics · Physics 2026-03-16 Chenxiao Wang , Limin Gao

Monogamy is a non-classical property that restricts the sharability of quantum correlation among the constituents of a multipartite quantum system. Quantum correlations may satisfy or violate monogamy for quantum states. Here we provide…

Quantum Physics · Physics 2015-02-09 Asutosh Kumar , R. Prabhu , Aditi Sen De , Ujjwal Sen

We study monogamy relations for arbitrary dimensional multipartite systems. Monogamy relations based on concurrence and concurrence of assistance for any dimensional $m_1\otimes m_2\otimes...\otimes m_{N}$ quantum states are derived, which…

Quantum Physics · Physics 2017-10-19 Xue-Na Zhu , Xianqing Li-Jost , Shao-Ming Fei

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

This paper examines the coherence in multipartite systems. We first discuss the distribution of total coherence in a given multipartite quantum state into discord between subsystems and coherent dissonance in each individual subsystem,…

Quantum Physics · Physics 2018-09-26 Zhengjun Xi

We show that bipartite entanglement distribution (or entanglement of assistance) in multipartite quantum systems is by nature polygamous. We first provide an analytic upper bound for the concurrence of assistance in bipartite quantum…

Quantum Physics · Physics 2009-08-06 Jeong San Kim

The distribution of entanglement in a multiparty system can be described through the principles of monogamy or polygamy. Monogamy is a fundamental characteristic of entanglement that restricts its distribution among several number of…

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…

Quantum Physics · Physics 2018-07-24 Zhi-Xiang Jin , Shao-Ming Fei

Given a multipartite quantum system that consists of two-level particles (qubits), one may or may not have access to all the subsystems. What can we know about the entanglement of the multiqubit system and residual correlations beyond…

Quantum Physics · Physics 2021-11-16 S. Shelly Sharma , Naresh K. Sharma
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