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Enhancing some separability criteria via equiangular tight frames
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作者 Liang Tang Fan Wu 《Communications in Theoretical Physics》 2025年第4期45-54,共10页
Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,genera... Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,generally,each application requires a specific class of frames and is closely related to quantum measurement.It is worth noting that a maximal set of complex equiangular vectors is closely related to a symmetric informationally complete measurement.Hence,our goal in this work is to propose a series of separability criteria assigned to a finite tight frame and some well-known inequalities in different quantum systems,respectively.In addition,some tighter criteria to detect entanglement for many-body quantum states are presented in arbitrary dimensions.Finally,the effectiveness of the proposed entanglement detection criteria is illustrated through some detailed examples. 展开更多
关键词 entanglement detection separability criterion bipartite systems finite tight frames
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SENSITIVITY AND SEPARABILITY OF DEFORMATION MODELS WITH REGARD TO PRIOR INFORMATION 被引量:1
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作者 Zhu, Jianjun 《中国有色金属学会会刊:英文版》 EI CSCD 1997年第4期157-160,共4页
SENSITIVITYANDSEPARABILITYOFDEFORMATIONMODELSWITHREGARDTOPRIORINFORMATION①ZhuJianjunColegeofResource,Environ... SENSITIVITYANDSEPARABILITYOFDEFORMATIONMODELSWITHREGARDTOPRIORINFORMATION①ZhuJianjunColegeofResource,EnvironmentandCivilEngin... 展开更多
关键词 sensitivity separability prior INFORMATION BAYESIAN HYPOTHESIS test
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APPLICATION OF SEPARABILITY ORITERION IN DESIGN OF DEFORMATION MONITORING NETWORKS 被引量:1
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作者 CHEN Yongqi TANG Hongwai 《Geo-Spatial Information Science》 1998年第1期70-73,共4页
A monitoring scheme must be so designed that several possible mod-els can be efficiently separated in the stage of analysis of deformation measure-ments.Based on the concept of separability developed by Chen and Chrza... A monitoring scheme must be so designed that several possible mod-els can be efficiently separated in the stage of analysis of deformation measure-ments.Based on the concept of separability developed by Chen and Chrzanowski,a methodology for the design of monitoring schemes has been developed by the au-thors.In the method a computer simulation technique is employed,into whichsome rules have been elaborated allowing minimal human intervention.In this pa-per the criterion is first presented and the design technique using the step one up-dating procedure is discussed.Finally,design of a simulated monitoring networkis made as a demonstrating example. 展开更多
关键词 OPTIMAL DESIGN DEFORMATION MONITORING NETWORK separability
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On a biseparability criterion of bipartite qudit state
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作者 B Benzimoun M Daoud 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第8期42-49,共8页
In this paper,we propose a new approach to tackle the separability problem for bipartite qudit mixed-states.This is based on the Majorana representation which allows to represent a N-spinors(qudit)as a symmetric state... In this paper,we propose a new approach to tackle the separability problem for bipartite qudit mixed-states.This is based on the Majorana representation which allows to represent a N-spinors(qudit)as a symmetric state of N spin-1/2.We also discuss how we can exploit such representation and the notion of the biseparability of multipartite qubit states in the sense to establish new criteria of the separability problem based on the PPT and concurrence. 展开更多
关键词 separability BIPARTITE QUBIT STATE partial separability MAJORANA representation
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Separability of Solutions to a Schrodinger Equation
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作者 王文华 曹怀信 +1 位作者 郭志华 余保民 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第8期205-209,共5页
We discuss separability of solutions to a Schr?dinger equation that describes a composite quantum system and give some kinds of Hamiltonians H(t) such that the solution to Schr?dinger equation induced by H(t) is separ... We discuss separability of solutions to a Schr?dinger equation that describes a composite quantum system and give some kinds of Hamiltonians H(t) such that the solution to Schr?dinger equation induced by H(t) is separable at any time provided that it is separable at t = 0. For example, we prove that if the Hamiltonian H is time-independent and equals to the product PA■PB of two projections on the subsystems KAand KB, respectively, then the state |ψ(t) of the composite system starting from a separable initial |ψ(0) = |ψA■|ψB is separable for all t ∈ [0, T] if and only if either |ψA is an eigenstate of PA, or |ψB is an eigenstate of PB. 展开更多
关键词 SCHRODINGER EQUATION separability HAMILTONIAN
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The separability of two-mode Gaussian state under amplification and symmetric damping
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作者 陈小余 蒋丽珍 邬良能 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第8期2237-2243,共7页
The performances of a two-mode Gaussian state under paxametric amplification, symmetric amplitude damping and thermal noise axe studied. The time-dependent complex correlation matrix of the state in evolution is given... The performances of a two-mode Gaussian state under paxametric amplification, symmetric amplitude damping and thermal noise axe studied. The time-dependent complex correlation matrix of the state in evolution is given. The sepaxability of the final two-mode Gaussian state is examined under symmetric amplification and asymmetric amplification separately. 展开更多
关键词 parametric amplifier amplitude damping characteristic function separability
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Separability criteria based on a class of symmetric measurements
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作者 Lemin Lai Shunlong Luo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2023年第6期51-58,共8页
Highly symmetric quantum measurements,such as mutually unbiased measurements(MUMs)and general symmetric informationally complete positive-operator-valued measures(GSICPOVMs),play an important role in both foundational... Highly symmetric quantum measurements,such as mutually unbiased measurements(MUMs)and general symmetric informationally complete positive-operator-valued measures(GSICPOVMs),play an important role in both foundational and practical aspects of quantum information theory.Recently,a broad class of symmetric measurements were introduced[K Siudzińska,(2022)Phys.Rev.A 105,042209],which can be viewed as a common generalization of MUMs and GSIC-POVMs.In this work,the role of these symmetric measurements in entanglement detection is studied.More specifically,based on the correlation matrices defined via(informationally complete)symmetric measurements,a separability criterion for arbitrary dimensional bipartite systems is proposed.It is shown that the criterion is stronger than the method provided by Siudzińska,meanwhile,it can unify several popular separability criteria based on MUMs or GSIC-POVMs.Furthermore,using these(informationally complete)symmetric measurements,two efficient criteria are presented to detect the entanglement of tripartite quantum states.The detection power and advantages of these criteria are illustrated through several examples. 展开更多
关键词 entanglement detection separability criterion symmetric measurement correlation matrix
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Necessary and Sufficient Conditions of Separability for Multipartite Pure States
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作者 LI Da-Fa LI Xiang-Rong +1 位作者 HUANG Hong-Tao LI Xin-Xin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第5期1211-1216,共6页
In this paper we present a necessary and sufficient condition of separability for multipartite pure states and variants of it. These conditions are very simple and calculable, and they do not require Schmidt decomposi... In this paper we present a necessary and sufficient condition of separability for multipartite pure states and variants of it. These conditions are very simple and calculable, and they do not require Schmidt decomposition (for two subsystems) or tracing out operations. We also give a necessary condition for a local unitary equivalence class for a bipartite system in terms of the determinant of the matrix of amplitudes. 展开更多
关键词 ENTANGLEMENT quantum computing separability
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Separability criteria based on Heisenberg–Weyl representation of density matrices
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作者 Jingmei Changl Meiyu Cui +1 位作者 Tinggui Zhang Shao-Ming Fei 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第3期132-136,共5页
Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for... Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for bipartite quantum systems. It is shown that this criterion can be better than the previous ones in detecting entanglement. The results are generalized to multipartite quantum states. 展开更多
关键词 Heisenberg-Weyl observable basis Bloch representation separability criterion multipartite quan- tuna states
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VALENCE STATE OF C AtOMS AND σ_t-η_n SEPARABILITY OF MOLECULAR ORBITALS IN THE (BUCKMINSTER)FULLERENE C_(50)
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作者 Ji Min YAN Xue Qi YI 《Chinese Chemical Letters》 SCIE CAS CSCD 1992年第11期883-886,共4页
The valence state of C atoms and the structure of molecular orbitals of the (Buckminster)Fullerene C_(60)have been demonstrated. It has been shown that when a motion-coordinate system is adopted, in which the coordina... The valence state of C atoms and the structure of molecular orbitals of the (Buckminster)Fullerene C_(60)have been demonstrated. It has been shown that when a motion-coordinate system is adopted, in which the coordinate origin is at every C atom, the z axis is in the direction of the normal and the (x,y) axes are in the direction of tangents of C_(60)'s spherical surface, 240 valence atomic orbitals of C_(60) can be divided into two groups. All (P_x, P_y)atomic orbitals named as Pt ones and all the other P_z atomic orbitals named as p. ones, That is to say that if we name the molecular orbital linearly combined of P_t atomic orbitals as σ_t and the molecular orbital linearly combined of P_n atomic orbitals as π_n, the 240 valence molecular orbitals are of the property of σ_t-π_n separability. It has also been shown that the frontier and nearby frontier molecular orbitals are π_n ones, and therefore the essential physical and chemical properties of C_(60) are determined by its π_n molecular orbitals. 展开更多
关键词 BUCKMINSTER)FULLERENE C VALENCE STATE OF C AtOMS AND n separability OF MOLECULAR ORBITALS IN THE
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A sufficient and necessary criterion for separability of bipartite quantum states
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作者 赵慧 于欣玉 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第8期252-255,共4页
A sufficient and necessary criterion for separability of bipartite quantum states is presented. We construct a class of mixed states in 2 k quantum systems and in 3 k quantum systems, respectively and show that thes... A sufficient and necessary criterion for separability of bipartite quantum states is presented. We construct a class of mixed states in 2 k quantum systems and in 3 k quantum systems, respectively and show that these states are separable if and only if they are positive partial transpositions. 展开更多
关键词 positive partial transposition separability
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Statistical Separability of the World and Consistency Between Quantum Theory, Relativity, and Causality
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作者 ZHANG Qi-Ren 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5期826-828,共3页
We show that the quantum world with non-local states and original statistics is statistically separable. According to relativistic dynamics, the super-luminal signal transmission is impossible. The present quantum the... We show that the quantum world with non-local states and original statistics is statistically separable. According to relativistic dynamics, the super-luminal signal transmission is impossible. The present quantum theory is therefore consistent with the relativity and the causality. 展开更多
关键词 statistical separability
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One Parameter Family of N-Qudit Werner-Popescu States: Bipartite Separability Using Conditional Quantum Relative Tsallis Entropy
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作者 Anantha S. Nayak Sudha   +1 位作者 A. R. Usha Devi A. K. Rajagopal 《Journal of Quantum Information Science》 2018年第1期12-23,共12页
The conditional version of sandwiched Tsallis relative entropy (CSTRE) is employed to study the bipartite separability of one parameter family of N-qudit Werner-Popescu states in their 1:N-1 partition. For all N, the ... The conditional version of sandwiched Tsallis relative entropy (CSTRE) is employed to study the bipartite separability of one parameter family of N-qudit Werner-Popescu states in their 1:N-1 partition. For all N, the strongest limitation on bipartite separability is realized in the limit and is found to match exactly with the separability range obtained using an algebraic method which is both necessary and sufficient. The theoretical superiority of using CSTRE criterion to find the bipartite separability range over the one using Abe-Rajagopal (AR) q-conditional entropy is illustrated by comparing the convergence of the parameter x with respect to q, in the implicit plots of AR q-conditional entropy and CSTRE. 展开更多
关键词 Entropic separability Criterion q-Conditional ENTROPIES Non-Commuting Version of RELATIVE Entropy
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Determining Separability with Entanglement of Formation and Entanglement Sudden Death
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作者 陈小余 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第1期1-4,共4页
An algorithm is developed to calculate the entanglement of formation for bipartite quantum states to determine numerically the sufficient condition of separability. The algorithm is applied to two 3 × 3 positive ... An algorithm is developed to calculate the entanglement of formation for bipartite quantum states to determine numerically the sufficient condition of separability. The algorithm is applied to two 3 × 3 positive partial transpose states mixed with white noise. For these two noisy states, our numerical sufficient conditions of separability are not far from the best necessary conditions of separability. 展开更多
关键词 Determining separability with Entanglement of Formation and Entanglement Sudden Death
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Separability of evolving W state in a noise environment
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作者 Qian-Tong Men Li-Zhen Jiang Xiao-Yu Chen 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第4期63-68,共6页
Entanglement is an important resource for quantum information processing.We provide a new entanglement witness to detect the entanglement of an evolving W state.Our results show that the new entanglement witness match... Entanglement is an important resource for quantum information processing.We provide a new entanglement witness to detect the entanglement of an evolving W state.Our results show that the new entanglement witness matches the evolving W state better than other witnesses or methods.The new witness significantly improves the performance of entanglement detection for some three-qubit states. 展开更多
关键词 entanglement witness separable criterion PPT criterion W state
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A Note on Normal Forms of Quantum States and Separability
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作者 LI Ming FEI Shao-Ming WANG Zhi-Xi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第12期1307-1311,共5页
We study the normal form of multipartite density matrices.It is shown that the correlation matrix(CM)separability criterion can be improved from the normal form we obtained under filtering transformations.Based on CMc... We study the normal form of multipartite density matrices.It is shown that the correlation matrix(CM)separability criterion can be improved from the normal form we obtained under filtering transformations.Based on CMcriterion the entanglement witness is further constructed in terms of local orthogonal observables for both bipartite andmultipartite systems. 展开更多
关键词 separable state entanglement witness
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Necessary and Sufficient Conditions for the Separability and the R-Separability of the Irrotational Stokes Equation and Applications
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作者 Eleftherios Protopapas Maria Hadjinicolaou 《Journal of Applied Mathematics and Physics》 2020年第11期2379-2401,共23页
In the present manuscript, we formulate and prove rigorously, necessary and sufficient conditions for all kinds of separation of variables that a solution of the irrotational Stokes equation may exhibit, in any orthog... In the present manuscript, we formulate and prove rigorously, necessary and sufficient conditions for all kinds of separation of variables that a solution of the irrotational Stokes equation may exhibit, in any orthogonal axisymmetric system, namely: simple separation and R-separation. These conditions may serve as a road map for obtaining the corresponding solution space of the irrotational Stokes equation, in any orthogonal axisymmetric coordinate system. Additionally, we investigate how the inversion of the coordinate system, with respect to a sphere, affects the type of separation. Specifically, we prove that if the irrotational Stokes equation separates variables in an axisymmetric coordinate system, then it R-separates variables in the corresponding inverted coordinate system. This is a quite useful outcome since it allows the derivation of solutions for a problem, from the knowledge of the solution of the same problem in the inverted geometry and vice-versa. Furthermore, as an illustration, we derive the eigenfunctions of the irrotational Stokes equation governing the flow past oblate spheroid particles and inverted oblate spheroidal particles. 展开更多
关键词 Axisymmetric Flow Stokes Operator Analytical Solution Separation and R-Separation of Variables Axisymmetric Orthogonal Coordinate Systems
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SEFormer:A Lightweight CNN-Transformer Based on Separable Multiscale Depthwise Convolution and Efficient Self-Attention for Rotating Machinery Fault Diagnosis 被引量:1
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作者 Hongxing Wang Xilai Ju +1 位作者 Hua Zhu Huafeng Li 《Computers, Materials & Continua》 SCIE EI 2025年第1期1417-1437,共21页
Traditional data-driven fault diagnosis methods depend on expert experience to manually extract effective fault features of signals,which has certain limitations.Conversely,deep learning techniques have gained promine... Traditional data-driven fault diagnosis methods depend on expert experience to manually extract effective fault features of signals,which has certain limitations.Conversely,deep learning techniques have gained prominence as a central focus of research in the field of fault diagnosis by strong fault feature extraction ability and end-to-end fault diagnosis efficiency.Recently,utilizing the respective advantages of convolution neural network(CNN)and Transformer in local and global feature extraction,research on cooperating the two have demonstrated promise in the field of fault diagnosis.However,the cross-channel convolution mechanism in CNN and the self-attention calculations in Transformer contribute to excessive complexity in the cooperative model.This complexity results in high computational costs and limited industrial applicability.To tackle the above challenges,this paper proposes a lightweight CNN-Transformer named as SEFormer for rotating machinery fault diagnosis.First,a separable multiscale depthwise convolution block is designed to extract and integrate multiscale feature information from different channel dimensions of vibration signals.Then,an efficient self-attention block is developed to capture critical fine-grained features of the signal from a global perspective.Finally,experimental results on the planetary gearbox dataset and themotor roller bearing dataset prove that the proposed framework can balance the advantages of robustness,generalization and lightweight compared to recent state-of-the-art fault diagnosis models based on CNN and Transformer.This study presents a feasible strategy for developing a lightweight rotating machinery fault diagnosis framework aimed at economical deployment. 展开更多
关键词 CNN-Transformer separable multiscale depthwise convolution efficient self-attention fault diagnosis
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Recent advances in the modification of melamine sponge for oil-water separation 被引量:2
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作者 Xing Zhou Dexiang Li +5 位作者 Lili Wang Qi Wang Zhen Wang Qing Jing Rinderer Marisol Lu Li 《Journal of Materials Science & Technology》 2025年第4期209-224,共16页
Melamine sponge is a major concern for oil-water separation due to its lightweight,high porosity(>99%),cost-effectiveness,impressive mechanical properties,and chemical/thermal stability.However,its amphiphilic natu... Melamine sponge is a major concern for oil-water separation due to its lightweight,high porosity(>99%),cost-effectiveness,impressive mechanical properties,and chemical/thermal stability.However,its amphiphilic nature hinders selective oil absorption in water.Recent strategies to enhance hydrophobicity are reviewed,including synthetic methods and materials,with comprehensive explanations of the mechanisms driven by surface energy and roughness.Key performance indicators for MS in oil-water separation,including adsorption capacity,wettability,stability,emulsion separation,reversible wettability switching,flame retardancy,mechanical properties,and recyclability,are thoroughly discussed.In conclusion,this review provides insights into the future potential and direction of functional melamine sponges in oil-water separation. 展开更多
关键词 Melamine sponge HYDROPHOBICITY LIPOPHILICITY Oil-water separation MODIFICATION
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Functionalized Separators Boosting Electrochemical Performances for Lithium Batteries 被引量:2
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作者 Zixin Fan Xiaoyu Chen +5 位作者 Jingjing Shi Hui Nie Xiaoming Zhang Xingping Zhou Xiaolin Xie Zhigang Xue 《Nano-Micro Letters》 2025年第6期55-92,共38页
The growing demands for energy storage systems,electric vehicles,and portable electronics have significantly pushed forward the need for safe and reliable lithium batteries.It is essential to design functional separat... The growing demands for energy storage systems,electric vehicles,and portable electronics have significantly pushed forward the need for safe and reliable lithium batteries.It is essential to design functional separators with improved mechanical and electrochemical characteristics.This review covers the improved mechanical and electrochemical performances as well as the advancements made in the design of separators utilizing a variety of techniques.In terms of electrolyte wettability and adhesion of the coating materials,we provide an overview of the current status of research on coated separators,in situ modified separators,and grafting modified separators,and elaborate additional performance parameters of interest.The characteristics of inorganics coated separators,organic framework coated separators and inorganic-organic coated separators from different fabrication methods are compared.Future directions regarding new modified materials,manufacturing process,quantitative analysis of adhesion and so on are proposed toward next-generation advanced lithium batteries. 展开更多
关键词 SEPARATORS Polymer electrolytes Lithium batteries Electrochemical performances FUNCTIONALIZATION
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