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Quantum nonlocality as a witness of entanglement plays a crucial role in various fields. Existing quantum monogamy relations rule out the possibility of simultaneous violations of any Bell inequalities with partial statistics generated from…

量子物理 · 物理学 2024-03-15 Yan-Han Yang , Xin-Zhu Liu , Xing-Zhou Zheng , Shao-Ming Fei , Ming-Xing Luo

We investigate the tight monogamy and polygamy relations of multiparty entanglement for arbitrary quantum states. By using the power of the bipartite measure of entanglement, we establish a class of tight monogamy relations of multiparty…

量子物理 · 物理学 2021-05-11 Limin Gao , Fengli Yan , Ting Gao

We investigate the polygamy relations of multipartite quantum states. General polygamy inequalities are given in the $\alpha$th $(\alpha\geq 2)$ power of concurrence of assistance, $\beta$th $(\beta \geq1)$ power of entanglement of…

量子物理 · 物理学 2019-03-04 Zhi-Xiang Jin , Shao-Ming Fei , Cong-Feng Qiao

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…

量子物理 · 物理学 2012-12-07 R. Prabhu , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

Using R\'enyi-$\alpha$ entropy to quantify bipartite entanglement, we prove monogamy of entanglement in multi-qubit systems for $\alpha \geq 2$. We also conjecture a polygamy inequality of multi-qubit entanglement with strong numerical…

量子物理 · 物理学 2010-10-22 Jeong San Kim , Barry C. Sanders

Characterizing multipartite quantum correlations beyond two parties is of utmost importance for building cutting edge quantum technologies, although the comprehensive picture is still missing. Here we investigate quantum correlations (QCs)…

量子物理 · 物理学 2023-07-27 Rivu Gupta , Saptarshi Roy , Shiladitya Mal , Aditi Sen De

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…

量子物理 · 物理学 2015-06-18 Huan He , Guifre Vidal

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…

量子物理 · 物理学 2018-12-04 Zhi-Xiang Jin , Shao-Ming Fei

Multipartite quantum systems are subject to monogamy relations that impose fundamental constraints on the distribution of quantum correlations between subsystems. These constraints can be studied quantitatively through sector lengths,…

量子物理 · 物理学 2026-01-08 Eduardo Serrano-Ensástiga , Olivier Giraud , John Martin

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…

量子物理 · 物理学 2018-09-12 Marcin Karczewski , Dagomir Kaszlikowski , Pawel Kurzynski

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…

量子物理 · 物理学 2020-09-09 Marcos L. W. Basso , Jonas Maziero

We provide a generalized definition of the monogamy relation for entanglement measures. A monogamy equality rather than the usual inequality is presented based on the monogamy weight, from which we give monogamy relations satisfied by the…

量子物理 · 物理学 2022-04-01 Zhi-Xiang Jin , Shao-Ming Fei , Xianqing Li-Jost , Cong-Feng Qiao

We investigate polygamy relations of multipartite entanglement in arbitrary-dimensional quantum systems. By improving an inequality and using the $\beta$th ($0\leq\beta\leq1$) power of entanglement of assistance, we provide a new class of…

量子物理 · 物理学 2019-02-26 Bin Chen , Long-Mei Yang , Shao-Ming Fei , Zhi-Xi 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…

量子物理 · 物理学 2023-12-19 Jia-Yi Li , Zhong-Xi Shen , Shao-Ming Fei

A fruitful way of studying physical theories is via the question whether the possible physical states and different kinds of correlations in each theory can be shared to different parties. Over the past few years it has become clear that…

量子物理 · 物理学 2010-04-15 Michael Seevinck

We investigate the polygamy relations related to the concurrence of assistance for any multipartite pure states. General polygamy inequalities given by the $\alpha$th $(0\leq \alpha\leq 2)$ power of concurrence of assistance is first…

量子物理 · 物理学 2020-10-13 Zhi-Xiang Jin , Shao-Ming Fei

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…

量子物理 · 物理学 2025-10-08 Junghee Ryu , Daemin Lee , Jinhyoung Lee , Paweł Kurzyński , Dagomir Kaszlikowski

We present classes of monogamy inequalities related to the $\alpha$-th ($\alpha \geq 1$) power of the entanglement measure based on the unified-($q,s$) entropy, and polygamy inequalities related to the $\beta$-th ($0 \leq \beta \leq 1$)…

量子物理 · 物理学 2021-10-25 Ya-Ya Ren , Zhi-Xi Wang , 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

量子物理 · 物理学 2017-06-13 Thiago R. de Oliveira

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…

量子物理 · 物理学 2014-04-21 R. Prabhu , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen