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YanLing Wang; MaoSheng Li; ShaoMing Fei; ZhuJun Zheng
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In this paper, we give a method for the local unitary equivalent problem which is more efficient than that was proposed by Bin Liu $et \ al$ \cite{bliu}.
Topics: Quantum Physics, Mathematics, Mathematical Physics
Source: http://arxiv.org/abs/1407.2400
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MaoSheng Li; YanLing Wang; ZhuJun Zheng
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We solved the unextendible maximally entangled basis (UMEB) problem in $\mathbb{C}^{d}\bigotimes\mathbb{C}^{d'}(d\neq d')$,the results turn out to be that there always exist a UMEB.In addition,there might be two sets of UMEB with different numbers.The main difficult is to prove the unextendibility of the set of states.We give an explicit construction of UMEB by considering the Schmidt number of the complementary space of the states we construct.
Topics: Quantum Physics, Mathematics, Mathematical Physics
Source: http://arxiv.org/abs/1407.2404
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Vicente Muñoz; BaiLing Wang
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We determine the SeibergWittenFloer homology groups of the threemanifold which is the product of a surface of genus $g \geq 1$ times the circle, together with its ring structure, for spinc structures which are nontrivial on the threemanifold. We give applications to computing SeibergWitten invariants of fourmanifolds which are connected sums along surfaces and also we reprove the higher type adjunction inequalities previously obtained by Oszv\'ath and Szab\'o.
Source: http://arxiv.org/abs/math/9905050v2
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Alan L. Carey; BaiLing Wang
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In this paper, we establish the RiemannRoch theorem in twisted Ktheory extending our earlier results. As an application, we prove a twisted index formula and show that Dbrane charges in Type I and Type II string theory are classified by twisted KOtheory and twisted Ktheory respectively in the presence of Bfields as proposed by Witten.
Source: http://arxiv.org/abs/0909.4848v1
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Ling Wang; Xufei Luo; Yaolong Chen; Janne Estill; Xianzhuo Zhang; Pengfei Li; Leiqing Wang
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Most of the researches on smoking and human health has focused on the harmful effect of smoking on health. However, some epidemiological studies have shown that smoking has a protective effect on the occurrence of some diseases, such as Parkinson's disease. This phenomenon has attracted the attention of some researchers, and many systematic reviews and metaanalyses have been carried out. However, high quality systematic reviews can provide decision basis for clinical decision makers, while low...
Source: https://osf.io/qcxnd/
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Ling Wang; Xufei Luo; Yaolong Chen; Janne Estill; Xianzhuo Zhang; Pengfei Li; Leiqing Wang; Shuya Lu; Meng Lv; Yunlan Liu; Mengjuan Ren
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Most of the research on smoking and human health has focused on the harmful effect of smoking on health. However, some epidemiological studies have shown that smoking has a protective effect on the occurrence of some diseases, such as Parkinson's disease. This phenomenon has attracted the attention of some researchers, and many systematic reviews and metaanalyses have been carried out. However, high quality systematic reviews can provide decision basis for clinical decision makers, while low...
Source: https://osf.io/d57jh/
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WenLi, Wang; FuChun, Bi; XiuLing, Wang; RunQiu, Huang
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ShaoChun, Zhou; < Sup> , Zhang MingHai; /sup> ShuangLing, Wang
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MaoSheng Li; YanLing Wang; ShaoMing Fei; ZhuJun Zheng
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We give a explicit construction of $d$ locally indistinguishable orthogonal maximally entangled states in $\mathbb{C}^d\otimes\mathbb{C}^d$ for any $d\geq 4$. This gives an answer to the conjecture proposed by S. Bandyopadhyay in 2009. Thus it reflects the nonlocality of the fundamental feature of quantum mechanics.
Topic: Quantum Physics
Source: http://arxiv.org/abs/1411.6702
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Winfried Stute; JaneLing Wang
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Under left truncation, data $(X_i,Y_i)$ are observed only when $Y_i\le X_i$. Usually, the distribution function $F$ of the $X_i$ is the target of interest. In this paper, we study linear functionals $\int\varphi \mathrm{d}F_n$ of the nonparametric maximum likelihood estimator (MLE) of $F$, the LyndenBell estimator $F_n$. A useful representation of $\int \varphi \mathrm{d}F_n$ is derived which yields asymptotic normality under optimal moment conditions on the score function $\varphi$. No...
Source: http://arxiv.org/abs/0810.3985v1
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DanLing Wang; ZuGuo Yu; Vo Anh
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Complex networks have recently attracted much attention in diverse areas of science and technology. Many networks such as the WWW and biological networks are known to display spatial heterogeneity which can be characterized by their fractal dimensions. Multifractal analysis is a useful way to systematically describe the spatial heterogeneity of both theoretical and experimental fractal patterns. In this paper, we propose a new box covering algorithm for multifractal analysis of complex...
Source: http://arxiv.org/abs/1108.5014v1
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Qing Jin; Zhen Wang; YiLing Wang
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Previous studies suggest that punishment is a useful way to promote cooperation in the wellmixed public goods game, whereas it still lacks specific evidence that punishment maintains cooperation in spatial prisoner's dilemma game as well. To address this issue, we introduce a mechanism of recorded punishment, involved with memory and punishment, into spatial prisoner's dilemma game. We find that increasing punishment rate or memory length promotes the evolution of cooperation monotonously....
Source: http://arxiv.org/abs/1101.0220v2
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Alan L. Carey; Jouko Mickelsson; BaiLing Wang
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In this paper, we develop differential twisted Ktheory and define a twisted Chern character on twisted Ktheory which depends on a choice of connection and curving on the twisting gerbe. We also establish the general RiemannRoch theorem in twisted Ktheory and find some applications in the study of twisted Ktheory of compact simple Lie groups.
Source: http://arxiv.org/abs/0708.3114v4
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YongMo, Wang; ZuoRui, Shen; LingWang, Gao
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XiaoNa, Cai; DaZhuang, Huang; ZuoRui, Shen; LingWang, Gao
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Shouyuan Wu; Xuan Yu; Yajia Sun; Ping Wang; Ling Wang; Renfeng Su; Junxian Zhao; Yaolong Chen
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Through synthesizing and analyzing the available definitions of evidence, this ScR aims to systematically find most related definition of evidence, to explore the connotation and extension of different definitions of evidence, to provide a theoretical basis for better clarifying the definition for policy makers, decision makers, and stakeholders.
Source: https://osf.io/j3urd/
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Iztok Pizorn; Ling Wang; Frank Verstraete
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We propose an efficient algorithm for simulating quantum manybody systems in two spatial dimensions using projected entangled pair states. This is done by approximating the environment, arising in the context of updating tensors in the process of time evolution, using a singlelayered tensor network structure. This significantly reduces the computational costs and allows simulations in a larger submanifold of the Hilbert space as bounded by the bond dimension of the tensor network. We present...
Source: http://arxiv.org/abs/1103.2343v1
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YanLing Wang; MaoSheng Li; ShaoMing Fei; ZhuJun Zheng
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We studied the construction problem of the unextendible product basis (UPB). We mainly give a method to construct a UPB of a quantum system through the UPBs of its subsystem. Using this method and the UPBs which are known for us, we construct different kinds of UPBs in general bipartite quantum system. Then we use these UPBs to construct a family of UPBs in multipartite quantum system. The UPBs can be used to construct the bound entangled states with different ranks.
Topics: Quantum Physics, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1703.06542
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YiCong, Liu; Ling, Wang; YouJun, Zhang; Wen, Xie; QingJun, Wu; ShaoLi, Wang
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Jun Jason Luo; HuoJun Ruan; YiLing Wang
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In the paper, we provide an effective method for the Lipschitz equivalence of twobranch Cantor sets and threebranch Cantor sets by studying the irreducibility of polynomials. We also find that any two Cantor sets are Lipschitz equivalent if and only if their contraction vectors are equivalent provided one of the contraction vectors is homogeneous.
Topics: Rings and Algebras, General Topology, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1702.03830
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Xianjun, Feng; Xiuguang, Qin; Li, Zang; Hui, Feng; Wanling, Wang; Dong, Liu; Pingfa, Li
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This article is from Pakistan Journal of Medical Sciences , volume 30 . Abstract Objective: We conducted a perspective study to investigate the association between mRNA expression quantities of ERCC1, BRCA1, RRM1 and RRM2 and response to chemotherapy and clinical outcome of advance NonSmall Cell Lung Cancer.(NSCLC). Methods: Two hundred eight patients who were diagnosed as advanced stage NSCLC were included in our study. A fluorescencebased and realtime detection method was used to determine...
Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4048491
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Guozhong He; HansGeorg Müller; JaneLing Wang; Wenjing Yang
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We study regression models for the situation where both dependent and independent variables are squareintegrable stochastic processes. Questions concerning the definition and existence of the corresponding functional linear regression models and some basic properties are explored for this situation. We derive a representation of the regression parameter function in terms of the canonical components of the processes involved. This representation establishes a connection between functional...
Source: http://arxiv.org/abs/1102.5212v1
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K. S. D. Beach; Ling Wang; Anders W. Sandvik
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We propose a treatment of the subleading corrections to finitesize scaling that preserves the notion of data collapse. This approach is used to extend and improve the usual Binder cumulant analysis. As a demonstration, we present results for the two and threedimensional classical Ising models and the twodimensional, doublelayer quantum antiferromagnet.
Source: http://arxiv.org/abs/condmat/0505194v1
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Yang XiLing, Wang ChaoPin
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LingWang, Gao; ZuoRui, Shen; ZhiQi, Liu; XiaoGuang, Ma
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YongMei, Liu; HongXia, Shi; Yan, Li; ZhenGang, Ma; LinLing, Wang; JinShan, Xu; ZeYang, Zhou; XiaoQun, Dang
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Peter Hall; HansGeorg Müller; JaneLing Wang
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The use of principal component methods to analyze functional data is appropriate in a wide range of different settings. In studies of ``functional data analysis,'' it has often been assumed that a sample of random functions is observed precisely, in the continuum and without noise. While this has been the traditional setting for functional data analysis, in the context of longitudinal data analysis a random function typically represents a patient, or subject, who is observed at only a small...
Source: http://arxiv.org/abs/math/0608022v1
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Jianhui Wu; Weifang Fan; Pengfei Gao; Qingjie Yang; Jing Zhang; Ling Wang
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Cadmium (Cd) stress significantly affects plant growth and development. Potentilla sericea is typically grown in gardens or as ground cover. In this study, the Cd response of P. sericea was analyzed based on physiological examinations and transcriptome analyses that uncovered the gene expression changes in P. sericea roots induced by a 7day treatment with 90 µmol/L Cd 2+ . A total of 53,225 unigenes were identified, including 11,684 differentially expressed genes (DEGs; 8,083 upregulated and...
Topics: glutathione metabolism, sulfur metabolism
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Ling Wang; K. S. D. Beach; Anders W. Sandvik
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We use quantum Monte Carlo (stochastic series expansion) and finitesize scaling to study the quantum critical points of two S=1/2 Heisenberg antiferromagnets in two dimensions: a bilayer and a Kondolatticelike system (incomplete bilayer), each with intra and interplane couplings J and J_perp. We discuss the groundstate finitesize scaling properties of three different quantitiesthe Binder moment ratio, the spin stiffness, and the longwavelength magnetic susceptibilitywhich we use to...
Source: http://arxiv.org/abs/condmat/0509747v1
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Zhen Wang; YanLing Wang; ZhiXi Wang
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Recently, trace distance measure of coherence has been proposed for characterizing the coherence of a given quantum state. However, it seems difficult to estimate the optimal incoherent state for high dimensional states. An explicit expression for the trace distance measure of coherence for a class of qudit states is provided. We show that the closest incoherent state to the class of qudit states is just the diagonal matrix obtained from it by deleting all offdiagonal elements. It is also...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1610.07330
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We propose a class of variational wave functions, namely the correlated valence bond states, for the frustrated Hamiltonian in the paramagnetic phase. This class of wave functions admits negative amplitude and the same sublattice pairing when a bipartite lattice is considered, thus suffers from the negative sign problem. However if applied to small systems, the sign problem is manageable using the standard variational Monte Carlo method. We optimize the wave functions for the J1J2 Anti...
Topics: Strongly Correlated Electrons, Condensed Matter
Source: http://arxiv.org/abs/1402.3564
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HuanYing, An; Qin, Wang; Zhi, Li; XiaoQun, Dang; ZeYang, Zhou; LinLing, Wang
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CiRen Jiang; Wei Yu; JaneLing Wang
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Sliced inverse regression (Duan and Li [Ann. Statist. 19 (1991) 505530], Li [J. Amer. Statist. Assoc. 86 (1991) 316342]) is an appealing dimension reduction method for regression models with multivariate covariates. It has been extended by Ferr\'{e} and Yao [Statistics 37 (2003) 475488, Statist. Sinica 15 (2005) 665683] and Hsing and Ren [Ann. Statist. 37 (2009) 726755] to functional covariates where the whole trajectories of random functional covariates are completely observed. The focus...
Topics: Mathematics, Statistics Theory, Statistics
Source: http://arxiv.org/abs/1405.6017
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We study twisted $Spin^c$manifolds over a paracompact Hausdorff space $X$ with a twisting $\alpha: X \to K(\ZZ, 3)$. We introduce the topological index and the analytical index on the bordism group of $\alpha$twisted $Spin^c$manifolds over $(X, \alpha)$, taking values in topological twisted Khomology and analytical twisted Khomology respectively. The main result of this paper is to establish the equality between the topological index and the analytical index. We also define a notion of...
Source: http://arxiv.org/abs/0710.1625v2
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Wanzhou Zhang; Wenan Guo; Kaj H Hoglund; Ling Wang; Anders W. Sandvik
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We study the distribution of local magnetic susceptibilities in the twodimensional antiferromagnetic S=1/2 Heisenberg model on various random clusters, in order to determine whether effects of edge disorder could be detected in NMR experiments (through the line shape, as given by the distribution of local Knight shifts). Although the effects depend strongly on the nature of the edge and the cluster size, our results indicate that line widths broader than the average shift should be expected...
Source: http://arxiv.org/abs/1004.5314v1
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Ling Wang; ZhengCheng Gu; Frank Verstraete; XiaoGang Wen
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The ground state phase of spin1/2 J_1J_2 antiferromagnetic Heisenberg model on square lattice in the maximally frustrated regime (J_2 ~ 0.5J_1) has been debated for decades. Here we study this model by using a recently proposed novel numerical method  the cluster update algorithm for tensor product states (TPSs). The ground state energies at finite sizes and in the thermodynamic limit (with finite size scaling) are in good agreement with the state of art exact diagonalization study, and the...
Source: http://arxiv.org/abs/1112.3331v2
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CiRen Jiang; JaneLing Wang
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Classical multivariate principal component analysis has been extended to functional data and termed functional principal component analysis (FPCA). Most existing FPCA approaches do not accommodate covariate information, and it is the goal of this paper to develop two methods that do. In the first approach, both the mean and covariance functions depend on the covariate $Z$ and time scale $t$ while in the second approach only the mean function depends on the covariate $Z$. Both new approaches...
Source: http://arxiv.org/abs/1003.0261v1
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Fang Yao; HansGeorg Müller; JaneLing Wang
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We propose nonparametric methods for functional linear regression which are designed for sparse longitudinal data, where both the predictor and response are functions of a covariate such as time. Predictor and response processes have smooth random trajectories, and the data consist of a small number of noisy repeated measurements made at irregular times for a sample of subjects. In longitudinal studies, the number of repeated measurements per subject is often small and may be modeled as a...
Source: http://arxiv.org/abs/math/0603132v1
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A systematic description of the WessZuminoWitten model is presented. The symplectic method plays the major role in this paper and also gives the relationship between the WZW model and the ChernSimons model. The quantum theory is obtained to give the projective representation of the Loop group. The Gauss constraints for the connection whose curvature is only focused on several fixed points are solved. The Kohno connection and the KnizhnikZamolodchikov equation are derived. The holonomy...
Source: http://arxiv.org/abs/dgga/9504001v1
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Ren, Guo; ShuFan, Chen; QiSheng, Luo; QingLing, Wang; HongKun, Yi; QiongFen, Zhan
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FuAn, Wu; JinXing, Zhou; MaoDe, Yu; QianLing, Wang; Li, Xu; Cheng, Lu; ChengJun, Jing
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DingXu, Li; XiHong, Lei; YanCai, Xu; Zheng, Li; LingWang, Gao
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Ling Wang; Birsen Yazici
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We consider a synthetic aperture radar (SAR) system that uses ultranarrowband continuous waveforms (CW) as an illumination source. Such a system has many practical advantages, such as the use of relatively simple, lowcost and lowpower transmitters, and in some cases, using the transmitters of opportunity, such as TV, radio stations. Additionally, ultranarrowband CW signals are suitable for motion estimation due to their ability to acquire high resolution Doppler information. In this paper,...
Source: http://arxiv.org/abs/1302.5340v1
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Alan L. Carey; BaiLing Wang
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The goal of this paper is to apply the universal gerbe of \cite{CMi1} and \cite{CMi2} to give an alternative, simple and more unified view of the relationship between index theory and gerbes. We discuss determinant bundle gerbes \cite{CMMi1} and the index gerbe of \cite{L} for the case of families of Dirac operators on odd dimensional closed manifolds. The method also works for a family of Dirac operators on odd dimensional manifolds with boundary, for a pair of MelrosePiazza's...
Source: http://arxiv.org/abs/math/0407243v2
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Alan L. Carey; Stuart Johnson; Michael K. Murray; Danny Stevenson; BaiLing Wang
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We develop the theory of ChernSimons bundle 2gerbes and multiplicative bundle gerbes associated to any principal $G$bundle with connection and a class in $H^4(BG, \ZZ)$ for a compact semisimple Lie group $G$. The ChernSimons bundle 2gerbe realises differential geometrically the CheegerSimons invariant. We apply these notions to refine the DijkgraafWitten correspondence between three dimensional ChernSimons functionals and WessZuminoWitten models associated to the group $G$. We do...
Source: http://arxiv.org/abs/math/0410013v2
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YanLing Wang; MaoSheng Li; ShaoMing Fei
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We investigate the unextendible maximally entangled bases in $\mathbb{C}^{d}\bigotimes\mathbb{C}^{d}$ and present a $30$number UMEB construction in $\mathbb{C}^{6}\bigotimes\mathbb{C}^{6}$. For higher dimensional case, we show that for a given $N$number UMEB in $\mathbb{C}^{d}\bigotimes\mathbb{C}^{d}$, there is a $\widetilde{N}$number, $\widetilde{N}=(qd)^2(d^2N)$, UMEB in $\mathbb{C}^{qd}\bigotimes\mathbb{C}^{qd}$ for any $q\in\mathbb{N}$. As an example, for...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1409.5019
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Ling Wang; Andrew Essin; Michael Hermele; Olexei Motrunich
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Topologically ordered phases of matter, in particular socalled symmetry enriched topological (SET) phases, can exhibit quantum number fractionalization in the presence of global symmetry. In Z_2 topologically ordered states in two dimensions, fundamental translations T_x and T_y acting on anyons can either commute or anticommute. This property, crystal momentum fractionalization, can be seen in a periodicity of the excitedstate spectrum in the Brillouin zone. We present a numerical method to...
Topics: Quantum Physics, Strongly Correlated Electrons, Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1409.7013
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FengLing Wang; DengRong Zhou; HaiYan Deng; LinLi Pu; ShaoLan Lin; Rong Gou
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Diabetic foot ulcer is one of the serious complications of diabetes. It is the result of a joint effect of lower extremities vascular lesions, neuropathy and infection, which require amputation and even threaten the life of the patient. At present, the conventional treatment for DFU includes infection control, wound care, wound reduction, reduction of foot pressure, use of dressings that are beneficial to wound surface healing, etc., but the effectiveness is not satisfactory. Recombinant human...
Source: https://osf.io/w6p24/