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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 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

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

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

Quantum mechanics imposes limits on the statistics of certain observables. Perhaps the most famous example is the uncertainty principle. Similar trade-offs also exist for the simultaneous violation of multiple Bell inequalities. In the…

We investigate monogamy relations related to quantum entanglement for $n-$qubit quantum systems. General monogamy inequalities are presented to the $\beta$th $(\beta\in(0,2))$ power of concurrence, negativity and the convex-roof extended…

Quantum Physics · Physics 2018-12-05 Xue-Na Zhu , Shao-Ming Fei

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

Physical principles constraints the way nonlocal correlations can be distributed among distant parties in a Bell-type experiment. These constraints are usually expressed by monogamy relations that bound the amount of Bell inequality…

Quantum Physics · Physics 2017-01-18 Remigiusz Augusiak

Correlations in multiparticle systems are constrained by restrictions from quantum mechanics. A prominent example for these restrictions are monogamy relations, limiting the amount of entanglement between pairs of particles in a…

Quantum Physics · Physics 2020-08-06 Nikolai Wyderka , Otfried Gühne

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

There are two important paradigms for defining quantum correlations in quantum information theory, viz. the information-theoretic and the entanglement-separability ones. We find an analytical relation between two measures of quantum…

Quantum Physics · Physics 2012-12-07 R. Prabhu , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

In the quantum world correlations can take form of entanglement which is known to be monogamous. In this work we show that another type of correlations, indistinguishability, is also restricted by some form of monogamy. Namely, if particles…

Quantum Physics · Physics 2018-09-12 Marcin Karczewski , Dagomir Kaszlikowski , Pawel Kurzynski

Monogamy of entanglement is the fundamental property of quantum systems. By using two new entanglement measures based on dual entropy, the $S^{t}$-entropy entanglement and $T^{t}_q$-entropy entanglement measures, we present the general…

Quantum Physics · Physics 2024-07-19 Zhong-Xi Shen , Kang-Kang Yang , Zhi-Xiang Jin , Zhi-Xi Wang , Shao-Ming Fei

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 the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems in a unified manner. It is known that any bipartite measure obeys monogamy and polygamy relations for the $r$-power of the…

Quantum Physics · Physics 2023-10-11 Xia Zhang , Naihuan Jing , Ming Liu , Haitao Ma

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 show that for macroscopic measurements which cannot reveal full information about microscopic states of the system, the monogamy of Bell inequality violations present in quantum mechanics implies that practically all correlations between…

A global measure of quantum correlations for tripartite nonorthogonal states is presented. It is introduced as the overall average of the pairwise correlations existing in all possible partitions. The explicit expressions for the global…

Quantum Physics · Physics 2014-12-02 M. Daoud , R. Ahl Laamara , R. Essaber , W. Kaydi

A particularly interesting feature of nonrelativistic quantum mechanics is the monogamy laws of entanglement. Although the monogamy relation has been explored extensively in the last decade, it is still not clear to what extent a given…

Quantum Physics · Physics 2017-03-07 Yu Guo

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