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 o...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.展开更多
Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems.We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entan...Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems.We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entanglement of formation, negativity, Tsallis-q entanglement, and Rényi-α entanglement, respectively. We show that these inequalities are tighter than the existing ones for some classes of quantum states.展开更多
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–Ze...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）.展开更多
We investigate the role of quantum correlation around the quantum phase transitions by using quantum renormalization group theory. Numerical analysis indicates that quantum correlation as well as quantum nonlocality c...We investigate the role of quantum correlation around the quantum phase transitions by using quantum renormalization group theory. Numerical analysis indicates that quantum correlation as well as quantum nonlocality can efficiently detect the quantum critical point in the two-dimensional XY systems. The nonanalytic behavior of the first derivative of quantum correlation is observed at the critical point as the size of the model increases. Furthermore, we discuss the quantum correlation distribution in this system based on the square of concurrence（SC） and square of quantum discord（SQD）. The monogamous properties of SC and SQD are obtained. Particularly, we prove that the quantum critical point can also be achieved by monogamy score.展开更多
We study the redistribution of quantum steering and its monogamy in the presence of a four-dimensional Kerr-Newman black hole.The gravitational effect of the Kerr-Newman black hole is shown to generate genuine tripart...We study the redistribution of quantum steering and its monogamy in the presence of a four-dimensional Kerr-Newman black hole.The gravitational effect of the Kerr-Newman black hole is shown to generate genuine tripartite steering between causally disconnected regions,depending on the polar angle,angular momentum,electric charge,and magnetic charge of the black hole.We obtain strong evidence of steering monogamy,that is,the"sudden death"of the A→B steering results in the"sudden birth"of B→B steering.We also obtain the condition of maximal steering asymmetry,that is,η0=√1+tanh^(2)(s),revealing the transition between two-way and one-way steering in Kerr-Newman spacetime.展开更多
Monogamy and polygamy relations are essential properties of quantum entanglement,which characterize the distributions of entanglement in multipartite systems.In this paper,we establish the general monogamy relations ...Monogamy and polygamy relations are essential properties of quantum entanglement,which characterize the distributions of entanglement in multipartite systems.In this paper,we establish the general monogamy relations forγ-th(0≤γ≤α,α≥1)power of quantum entanglement based on unified-(q,s)entanglement and polygamy relations forδ-th(δ≥β,0≤β≤1)power of entanglement of assistance based on unified-(q,s)entanglement of assistance,which provides a complement to the previous research in terms of different parameter regions ofγandδ.These results are then applied to specific quantum correlations,e.g.,entanglement of formation,Renyi-q entanglement of assistance and Tsallis-q entanglement of assistance to get the corresponding monogamy and polygamy inequalities.Moreover,typical examples are presented for illustration.展开更多
We construct a piecewise function to investigate some monogamy inequalities in terms of theαth power of concurrence and negativity(α≥2),entanglement of formation(α≥√2),and Tsallis-q entanglement(α≥1).These ine...We construct a piecewise function to investigate some monogamy inequalities in terms of theαth power of concurrence and negativity(α≥2),entanglement of formation(α≥√2),and Tsallis-q entanglement(α≥1).These inequalities are tighter than the existing results with detailed examples.Particularly,it is worth highlighting some classes of quantum states which can saturate these monogamy inequalities forα=2,4 and 6 in terms of concurrence and negativity and forα=1,2 and 3 in terms of Tsallis-q entanglement.展开更多
We describe the entanglement distribution and restricted shareability of the multipartite generalized W-class states and their reduced density matrix under arbitrary partitions by using monogamy and polygamy relation ...We describe the entanglement distribution and restricted shareability of the multipartite generalized W-class states and their reduced density matrix under arbitrary partitions by using monogamy and polygamy relation based on the unified-(q,s)entropy.Firstly,we provide an analytical formula of unified-(q,s)entanglement(UE)and an analytical lower bound of unified-(q,s)entanglement of assistance(UEo A)for a reduced density matrix of a generalized W-class state.Then,we use these two analytical formulas to derive the monogamy and polygamy inequalities for a reduced density matrix of a qudit generalized W-class(GW)state.We establish two partition-dependent residual entanglements based on the new monogamy relation,which is helpful to obtain a comprehensive analysis of entanglement dynamics of generalized W-class states.Further,we investigate tighter monogamy and polygamy relations based on the power ofαth(α≥0)for UE andβth(β≥0)for UEo A,respectively.The results show that the entanglement distribution characteristics of generalized W-class states satisfying stronger constraints can be described more accurately.展开更多
AIM: To examine the psychological, self-esteem(SE), family function, marital satisfaction, life satisfaction and degree of agreement with the practice of polygamy among polygamous women with a control group from monog...AIM: To examine the psychological, self-esteem(SE), family function, marital satisfaction, life satisfaction and degree of agreement with the practice of polygamy among polygamous women with a control group from monogamous women in Syria. METHODS: Convenience sample of 136 women, 64 of whom were wives in polygamous marriages and 72 were wives in monogamous marriages participated in this study. A snowball method of sampling was used, conducted by undergraduate local female students trained to collect data according to culturally competent methods. The following research instruments were deployed: the symptoms checklist-90, the Rosenberg SE, the Life Satisfaction, family function and marital satisfaction. RESULTS: Findings revealed that women in polygamous marriages experienced lower SE, less life satisfaction, less marital satisfaction and more mental health symptomatology than women in monogamous marriages. Many of the mental health symptoms were different; noteworthy were elevated somatization, depression, hostility and psychoticism and their general severity index was higher. Furthermore, "first wife syndrome" was examined in polygamous families, comparing first with second and third wives in polygamous marriages. Findings indicated that first wives reported on more family problems, less SE, more anxiety, moreparanoid ideation, and more psychoticism than second and third wives. CONCLUSION: These results are best understood through consideration of the socio-cultural and economic realities facing these women. Implications for mental health practice, policy and further research are discussed.展开更多
This paper contains two main contents.In the first part,we provide two counterexamples of monogamy inequalities for the squared entanglement negativity:one three-qutrit pure state which violates of the He–Vidal monog...This paper contains two main contents.In the first part,we provide two counterexamples of monogamy inequalities for the squared entanglement negativity:one three-qutrit pure state which violates of the He–Vidal monogamy conjecture,and one four-qubit pure state which disproves the squared-negativity-based Regula–Martino–Lee–Adessoclass strong monogamy conjecture.In the second part,we investigate the sharing of the entanglement negativity in a composite cavity-reservoir system using the corresponding multipartite entanglement scores,and then we find that there is no simple dominating relation between multipartite entanglement scores and the entanglement negativity in composite cavity-reservoir systems.As a by-product,we further validate that the entanglement of two cavity photons is a decreasing function of the evolution time,and the entanglement will suddenly disappear interacting with independent reservoirs.展开更多
Monogamy relation is one of the essential properties of quantum entanglement,which characterizes the distribution of entanglement in a multipartite system.By virtual of the unified-(q,s) entropy,we obtain some novel m...Monogamy relation is one of the essential properties of quantum entanglement,which characterizes the distribution of entanglement in a multipartite system.By virtual of the unified-(q,s) entropy,we obtain some novel monogamy and polygamy inequalities in general class of entanglement measures.For 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> 1.We also obtain a class of tighter polygamy relations in the β-th(0≤β≤1) power of unified-(q,s) entanglement of assistance.Applying 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 relations.Typical examples are presented for illustration.Furthermore,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.展开更多
文摘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.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11805143,11675113Key Project of Beijing Municipal Commission of Education under Grant No.KZ201810028042
文摘Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems.We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entanglement of formation, negativity, Tsallis-q entanglement, and Rényi-α entanglement, respectively. We show that these inequalities are tighter than the existing ones for some classes of quantum states.
基金supported by the National Natural Science Foundation of China(Grant Nos.61275215 and 10905016)the National Fundamental Research Program of China(Grant No.2011CBA00203)+1 种基金the Fujian Provincial College Funds for Distinguished Young Scientists,China(Grant No.JA14070)the Natural Science Foundation of Hebei Province,China(Grant No.A2012205062)
文摘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）.
基金supported by the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20171397)the National Natural Science Foundation of China(Grant Nos.11535004,11375086,1175085,and 11120101005)+1 种基金the Foundation for Encouragement of College of Sciences(Grant No.LYLZJJ1616)the Pre-research Foundation of Army Engineering University of PLA
文摘We investigate the role of quantum correlation around the quantum phase transitions by using quantum renormalization group theory. Numerical analysis indicates that quantum correlation as well as quantum nonlocality can efficiently detect the quantum critical point in the two-dimensional XY systems. The nonanalytic behavior of the first derivative of quantum correlation is observed at the critical point as the size of the model increases. Furthermore, we discuss the quantum correlation distribution in this system based on the square of concurrence（SC） and square of quantum discord（SQD）. The monogamous properties of SC and SQD are obtained. Particularly, we prove that the quantum critical point can also be achieved by monogamy score.
基金Supported by the National Natural Science Foundation of China (12205133,LJKQZ20222315,JYTMS20231051)the Special Fund for Basic Scientific Research of Provincial Universities in Liaoning (LS2024Q002)。
文摘We study the redistribution of quantum steering and its monogamy in the presence of a four-dimensional Kerr-Newman black hole.The gravitational effect of the Kerr-Newman black hole is shown to generate genuine tripartite steering between causally disconnected regions,depending on the polar angle,angular momentum,electric charge,and magnetic charge of the black hole.We obtain strong evidence of steering monogamy,that is,the"sudden death"of the A→B steering results in the"sudden birth"of B→B steering.We also obtain the condition of maximal steering asymmetry,that is,η0=√1+tanh^(2)(s),revealing the transition between two-way and one-way steering in Kerr-Newman spacetime.
基金Project supported by the National Natural Science Foundation of China(Grant No.12175147)the Disciplinary Funding of Beijing Technology and Business University,the Fundamental Research Funds for the Central Universities(Grant No.2022JKF02015)the Research and Development Program of Beijing Municipal Education Commission(Grant No.KM202310011012).
文摘Monogamy and polygamy relations are essential properties of quantum entanglement,which characterize the distributions of entanglement in multipartite systems.In this paper,we establish the general monogamy relations forγ-th(0≤γ≤α,α≥1)power of quantum entanglement based on unified-(q,s)entanglement and polygamy relations forδ-th(δ≥β,0≤β≤1)power of entanglement of assistance based on unified-(q,s)entanglement of assistance,which provides a complement to the previous research in terms of different parameter regions ofγandδ.These results are then applied to specific quantum correlations,e.g.,entanglement of formation,Renyi-q entanglement of assistance and Tsallis-q entanglement of assistance to get the corresponding monogamy and polygamy inequalities.Moreover,typical examples are presented for illustration.
基金Supported by Yunnan Provincial Research Foundation for Basic Research(Grant No.202001AU070041)Natural Science Foundation of Kunming University of Science and Technology(Grant No.KKZ3202007036)Basic and Applied Basic Research Funding Program of Guangdong Province(Grant Nos.2019A1515111097 and 2023A1515012074).
文摘We construct a piecewise function to investigate some monogamy inequalities in terms of theαth power of concurrence and negativity(α≥2),entanglement of formation(α≥√2),and Tsallis-q entanglement(α≥1).These inequalities are tighter than the existing results with detailed examples.Particularly,it is worth highlighting some classes of quantum states which can saturate these monogamy inequalities forα=2,4 and 6 in terms of concurrence and negativity and forα=1,2 and 3 in terms of Tsallis-q entanglement.
基金supported by the National Natural Science Foundation of China(Grant Nos.12175147,12075205,and T2121001)Zhejiang Provincial Natural Science Foundation of China(Grant No.Z24A050006)。
文摘We describe the entanglement distribution and restricted shareability of the multipartite generalized W-class states and their reduced density matrix under arbitrary partitions by using monogamy and polygamy relation based on the unified-(q,s)entropy.Firstly,we provide an analytical formula of unified-(q,s)entanglement(UE)and an analytical lower bound of unified-(q,s)entanglement of assistance(UEo A)for a reduced density matrix of a generalized W-class state.Then,we use these two analytical formulas to derive the monogamy and polygamy inequalities for a reduced density matrix of a qudit generalized W-class(GW)state.We establish two partition-dependent residual entanglements based on the new monogamy relation,which is helpful to obtain a comprehensive analysis of entanglement dynamics of generalized W-class states.Further,we investigate tighter monogamy and polygamy relations based on the power ofαth(α≥0)for UE andβth(β≥0)for UEo A,respectively.The results show that the entanglement distribution characteristics of generalized W-class states satisfying stronger constraints can be described more accurately.
文摘AIM: To examine the psychological, self-esteem(SE), family function, marital satisfaction, life satisfaction and degree of agreement with the practice of polygamy among polygamous women with a control group from monogamous women in Syria. METHODS: Convenience sample of 136 women, 64 of whom were wives in polygamous marriages and 72 were wives in monogamous marriages participated in this study. A snowball method of sampling was used, conducted by undergraduate local female students trained to collect data according to culturally competent methods. The following research instruments were deployed: the symptoms checklist-90, the Rosenberg SE, the Life Satisfaction, family function and marital satisfaction. RESULTS: Findings revealed that women in polygamous marriages experienced lower SE, less life satisfaction, less marital satisfaction and more mental health symptomatology than women in monogamous marriages. Many of the mental health symptoms were different; noteworthy were elevated somatization, depression, hostility and psychoticism and their general severity index was higher. Furthermore, "first wife syndrome" was examined in polygamous families, comparing first with second and third wives in polygamous marriages. Findings indicated that first wives reported on more family problems, less SE, more anxiety, moreparanoid ideation, and more psychoticism than second and third wives. CONCLUSION: These results are best understood through consideration of the socio-cultural and economic realities facing these women. Implications for mental health practice, policy and further research are discussed.
基金Supported by the National Natural Science Foundation of China under Grant No.60973135Shandong Provincial Natural Science Foundation of China under Grant No.ZR2015FQ006
文摘This paper contains two main contents.In the first part,we provide two counterexamples of monogamy inequalities for the squared entanglement negativity:one three-qutrit pure state which violates of the He–Vidal monogamy conjecture,and one four-qubit pure state which disproves the squared-negativity-based Regula–Martino–Lee–Adessoclass strong monogamy conjecture.In the second part,we investigate the sharing of the entanglement negativity in a composite cavity-reservoir system using the corresponding multipartite entanglement scores,and then we find that there is no simple dominating relation between multipartite entanglement scores and the entanglement negativity in composite cavity-reservoir systems.As a by-product,we further validate that the entanglement of two cavity photons is a decreasing function of the evolution time,and the entanglement will suddenly disappear interacting with independent reservoirs.
基金Project supported by the National Basic Research Program of China(Grant No.2015CB856703)the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB23030100)+1 种基金the National Natural Science Foundation of China(Grant Nos.11847209,11375200,and 11635009)the China Postdoctoral Science Foundation.
文摘Monogamy relation is one of the essential properties of quantum entanglement,which characterizes the distribution of entanglement in a multipartite system.By virtual of the unified-(q,s) entropy,we obtain some novel monogamy and polygamy inequalities in general class of entanglement measures.For 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> 1.We also obtain a class of tighter polygamy relations in the β-th(0≤β≤1) power of unified-(q,s) entanglement of assistance.Applying 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 relations.Typical examples are presented for illustration.Furthermore,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.
