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monogamy and polygamy relations of multiqubit entanglement based on unified entropy

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Chinese Physics B 2020年第2期29卷 129-136页

作者： Zhi-Xiang Jin Cong-Feng Qiao School of Physics University of Chinese Academy of SciencesBeijing 100049China CAS Center for Excellence in Particle Physics Beijing 100049China

monogamy relation is one of the essential properties of quantum entanglement,which characterizes the distribution of entanglement in a multipartite *** virtual of the unified-(q,s) entropy,we obtain some novel monogamy and polygamy inequalities in general class of entanglement *** the multiqubit system,a class of tighter monogamy relations are established in term of the a-th power of unified-(q,s) entanglement for a> *** also obtain a class of tighter polygamy relations in the β-th(0≤β≤1) power of unified-(q,s) entanglement of *** these results to specific quantum correlations,e.g.,entanglement of formation,Renyi-q entanglement of assistance,and Tsallisq entanglement of assistance,we obtain the corresponding monogamy and polygamy *** examples are presented for ***,the complementary monogamy and polygamy relations are investigated for theα-th(0≤α≤1) and β-th(β≥1) powers of unified entropy,respectively,and the corresponding monogamy and polygamy inequalities are obtained.

关键词： quantum monogamy quantum polygamy unified entropy

monogamy of Measurement-Induced Nonlocality Based on Relative Entropy

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Communications in Theoretical Physics 2014年第11期61卷 677-682页

作者：罗宇席政军李永明 College of Computer Science Shaanxi Normal University

In this paper, using relative entropy, we study monogamous properties of measurement-induced nonlocality based on relative entropy. Depending on different measurement sides, we provide necessary and sufficient conditions for two types of monogamy inequalities. By the concept of nonlocality monogamy score, we find a necessary condition of the vanished nonlocality monogamy score for arbitrary three-party states. In addition, two types of necessary and sufficient conditions of the vanished nonlocality monogamy scores are obtained for any pure states. As an application, we show that measurement-induced nonlocality based on relative entropy can be viewed as a "nonlocality witness" to distinguish generalized GHZ states from the generalized W states.

关键词： measurement-induced nonlocality relative entropy monogamy GHZ states W states

monogamy relations of quantum entanglement for partially coherently superposed states

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Chinese Physics B 2017年第12期26卷 113-117页

作者：石现 Institute of Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China University of Chinese Academy of Sciences Beijing 100190 China UTS-AMSS Joint Research Laboratory for Quantum Computation and Quantum Information Processing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

monogamy is a fundamental property of multi-partite entangled states. Recently, Kim J S[Phys. Rev. A 93 032331] showed that a partially coherent superposition （PCS） of a generalized W-class state and the vacuum saturates the strong monogamy inequality proposed by Regula B et al.[Phys. Rev. Lett. 113 110501] in terms of squared convex roof extended negativity; and this fact may present that this class of states are good candidates for studying the monogamy of entanglement. Hence in this paper, we will investigate the monogamy relations for the PCS states. We first present some properties of the PCS states that are useful for providing our main theorems. Then we present several monogamy inequalities for the PCS states in terms of some entanglement measures.

关键词： monogamy PCS states entanglement

Parameterized monogamy and polygamy relations of multipartite entanglement

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Chinese Physics B 2023年第12期32卷 231-240页

作者：沈中喜王珂珂费少明 School of Mathematical Sciences Capital Normal UniversityBeijing 100048China Max-Planck-Institute for Mathematics in the Sciences Leipzig 04103Germany

monogamy and polygamy relations are important properties of entanglement,which characterize the entanglement distribution of multipartite *** explore monogamy and polygamy relations of entanglement in multipartite systems by using two newly derived parameterized mathematical inequalities,and establish classes of parameterized monogamy and polygamy relations of multiqubit entanglement in terms of concurrence and entanglement of *** show that these new parameterized monogamy and poelygamy inequalities are tighter than the existing ones by detailed examples.

关键词： monogamy polygamy concurrence entanglement of formation

Entanglement and Volume monogamy Features of Permutation Symmetric N-Qubit Pure States with N-Distinct Spinors: GHZ and States

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Journal of Quantum Information Science 2024年第2期14卷 29-51页

作者： Sudha Alevoor Raghavendra Usha Devi Akshata Shenoy Hejamadi Hosapete Seshadri Karthik Humera Talath Bada Palaiah Govindaraja Attipat Krishnaswamy Rajagopal Department of Physics Kuvempu University Shimoga India Inspire Institute Inc. Alexandria Virginia USA Department of Physics Bangalore University Bangalore India International Centre for Theory of Quantum Technologies University of Gdnsk Gdnsk Poland

We explore the entanglement features of pure symmetric N-qubit states characterized by N-distinct spinors with a particular focus on the Greenberger-Horne-Zeilinger (GHZ) states and , an equal superposition of W and obverse W states. Along with a comparison of pairwise entanglement and monogamy properties, we explore the geometric information contained in them by constructing their canonical steering ellipsoids. We obtain the volume monogamy relations satisfied by states as a function of number of qubits and compare with the maximal monogamy property of GHZ states.

关键词： Permutation Symmetric States monogamy Pairwise Entanglement

What Does monogamy in Higher Powers of a Correlation Measure Mean?

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Journal of Modern Physics 2014年第14期5卷 1294-1301页

作者： Pilukuli Janardhana Geetha Sudha Alevoor Raghavendra Usha Devi 1Department of Physics Kuvempu University Shankaraghatta Shimoga India 2Inspire Institute Inc. Alexandria USA Department of Physics Kuvempu University Shankaraghatta Shimoga India Inspire Institute Inc. Alexandria USA

We examine here the proposition that all multiparty quantum states can be made monogamous by considering positive integral powers of any quantum correlation measure. With Rajagopal-Rendell quantum deficit as the measure of quantum correlations for symmetric 3-qubit pure states, we illustrate that monogamy inequality is satisfied for higher powers of quantum deficit. We discuss the drawbacks of this inequality in quantification of correlations in the state. We also prove a monogamy inequality in higher powers of classical mutual information and bring out the fact that such inequality needs not necessarily imply restricted shareability of correlations. We thus disprove the utility of higher powers of any correlation measure in establishing monogamous nature in multiparty quantum states.

关键词： Mutual Information Sharing of Classical and Quantum Correlations monogamy of Quantum Correlations

Parentage analysis in Gabonese colonies of soil-feeding termites belonging to the Cubitermes sp. affinis subarquatus complex of species （Termitidae＂ Termitinae）

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Insect Science 2010年第2期17卷 84-90页

作者： Virginie Roy Lise Dupont Myriam Harry Unite Mixte de Recherche 7618 Bioemco Universite Paris 12-Val de Mame 61 avenue du Gen6ral de Gaulle 94010 Creteil cedex Laboratoire Evolution Genomes et Speciation UPRg034 Centre National de la Recherche Scientifique 91198 Gif sur YvetteFrance

Cubitermes spp. are widely distributed soil-feeding termite species in sub- Saharan Africa which play a fundamental role in soil structure and fertility. A complex of at least four cryptic species （i.e., Cubitermes sp. affunis subarquatus complex of species） has been recently described using molecular markers. In order to investigate the breeding system of these species, five microsatellite markers were used to carry out parentage and re- latedness analyses in 15 Gabonese colonies. monogamy was confirmed as the predominant reproductive organization in Cubitermes spp. （76% of the colonies）. Within 30% of these monogamous colonies, a high relatedness between reproductives was shown, suggesting that mating between related individuals occurs. However, Cubitermes colonies can deviate from monogamy. Indeed, parental contributions by at least two related reproductives of the same sex were revealed in four colonies and polyandry was demonstrated in two of them. Infiltration of reproductives in the colony is the most plausible explanation for such cases of polygamy in Cubitermes spp.

关键词： breeding system Cubitermes spp. microsatellite markers monogamy soil- feeding termites

Simultaneous observation of quantum contextuality and quantum nonlocality

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Science Bulletin 2018年第17期63卷 1092-1095页

作者： Xiao-Min Hu Bi-Heng Liu Jiang-Shan Chen Yu Guo Yu-Chun Wu Yun-Feng Huang Chuan-Feng Li Guang-Can Guo CAS Key Laboratory of Quantum Information University of science and Technology of China Hefei 230026 China

Quantum nonlocality and quantum contextuality are the most curious properties that change our understanding of nature, and were observed independently in recent decades. One important question is whether both properties can be observed simultaneously. In this paper, we show that in a qutrit-qutrit system we can observe quantum nonlocality and quantum contextuality at the same time. From the perspective of quantum information, our experiment proves in principle that the two resources, quantum nonlocality and quantum contextuality, can be utilized simultaneously.

关键词： Quantum contextuality Quantum nonlocality monogamy Qutrit-qutrit system

Measurement-induced nonlocality in the W and Greenberger–Horne–Zeilinger superposition states

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Chinese Physics B 2015年第3期24卷 61-65页

作者：林秦白彦魁叶明勇林秀敏 Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials College of Physics and EnergyFujian Normal University College of Physical Science and Information Engineering and Hebei Advance Thin Films Laboratory Hebei Normal University

Measurement-induced nonlocality（MIN） is a newly defined quantity to measure correlations in bipartite quantum states [Luo S and Fu S 2011 Phys. Rev. Lett. 106 120401]. MIN in the n-qubit W and Greenberger–Horne–Zeilinger（GHZ） superposition states is considered. It is revealed that n = 3 and n ≥ 4 states have very different characteristics,especially the monogamy relation about MIN, and the monogamy equality of MIN is held in all n-qubit W states（n ≥ 3）.

关键词： measurement-induced nonlocality monogamy W state