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Monogamy is a defining feature of entanglement, having far reaching applications. Recently, Regula \textit{et.al.} in Phys. Rev. Lett. \textbf{113}, 110501(2014) have proposed a stronger version of monogamy relation for concurrence. We have…

量子物理 · 物理学 2023-07-12 Sumana Karmakar , Ajoy Sen , Amit Bhar , Debasis Sarkar

Monogamy of quantum correlations is a vibrant area of research because of its potential applications in several areas in quantum information ranging from quantum cryptography to co-operative phenomena in many-body physics. In this paper, we…

量子物理 · 物理学 2018-07-17 Asutosh Kumar

Entanglement polygamy, like entanglement monogamy, is a fundamental property of multipartite quantum states. We investigate the polygamy relations related to the concurrence $C$ and the entanglement of formation $E$ for general $n$-qubit…

量子物理 · 物理学 2019-08-20 Xuena Zhu , Zhixiang Jin , Shaoming 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…

量子物理 · 物理学 2017-08-02 Himadri Shekhar Dhar , Amit Kumar Pal , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

Quantum entanglement for multiparty system has a unique feature when it comes to sharing its property among various subsystems. This is famously stated as the monogamy of entanglement. The traditional monogamy of concurrence for tripartite…

量子物理 · 物理学 2022-05-04 Ida Mishra , Arun K Pati , Sohail

Monogamy and Polygamy are important properties of entanglement, which characterize the entanglement distribution of multipartite systems. We study general monogamy and polygamy relations based on the $\alpha$th $(0\leq\alpha\leq \gamma)$…

量子物理 · 物理学 2023-02-28 Bing Xie , Ming-Jing Zhao , Bo Li

We investigate the distribution of bipartite and multipartite entanglement in multiqubit states. In particular we define a set of monogamy inequalities sharpening the conventional Coffman-Kundu-Wootters constraints, and we provide…

量子物理 · 物理学 2016-01-15 Bartosz Regula , Sara Di Martino , Soojoon Lee , Gerardo Adesso

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…

量子物理 · 物理学 2024-07-19 Zhong-Xi Shen , Kang-Kang Yang , Zhi-Xiang Jin , Zhi-Xi Wang , Shao-Ming Fei

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

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 provide a strong evidence for strong monogamy inequality of multi-qubit entanglement recently proposed in [B. Regula {\em et al.}, Phys. Rev. Lett. {\bf 113}, 110501 (2014)]. We consider a large class of multi-qubit generalized W-class…

量子物理 · 物理学 2015-08-31 Jeong San Kim

We prove exactly that the squared entanglement of formation, which quantifies the bipartite entanglement, obeys a general monogamy inequality in an arbitrary multiqubit mixed state. Based on this kind of exotic monogamy relation, we are…

量子物理 · 物理学 2014-09-10 Yan-Kui Bai , Yuan-Fei Xu , Z. D. Wang

In the present paper, a trade off of sharing of entanglement between subsystems of a higher dimensional quantum state is derived. It is presented in terms of an inequality which is analogous to the Coffman-Kundu-Wootters inequality that…

量子物理 · 物理学 2025-10-03 Sumit Nandi

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…

量子物理 · 物理学 2014-11-19 Jeong San Kim

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…

量子物理 · 物理学 2020-08-06 Nikolai Wyderka , Otfried Gühne

Exploring an analytical expression for the convex roof of the pure state squared concurrence for rank 2 mixed states the entanglement of a system of three particles under decoherence is studied, using the monogamy inequality for mixed…

量子物理 · 物理学 2009-08-28 Thiago R. de Oliveira

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…

量子物理 · 物理学 2017-10-19 Xue-Na Zhu , Xianqing Li-Jost , Shao-Ming Fei

We investigate the structural aspects of genuine multipartite entanglement in Gaussian states of continuous variable systems. Generalizing the results of [Adesso & Illuminati, Phys. Rev. Lett. 99, 150501 (2007)], we analyze whether the…

量子物理 · 物理学 2008-10-14 Gerardo Adesso , Fabrizio Illuminati

The multi-qubit GHZ state possesses tangles with elegant transformation properties under stochastic local operations and classical communication. Since almost all pure 3-qubit states are connected to the GHZ state via SLOCC, we derive a…

量子物理 · 物理学 2017-09-18 Grant W. Allen , Orest Bucicovschi , David A. Meyer

We investigate the generalized monogamy and polygamy relations $N$-qubit systems. We give a general upper bound of the $\alpha$th ($0\leq\alpha\leq2$) power of concurrence for $N$-qubit states. The monogamy relations satisfied by the…

量子物理 · 物理学 2020-10-09 Zhi-Xiang Jin , Shao-Ming Fei , Xianqing Li-Jost