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Joint product numerical range and geometry of reduced density matrices

Science China(Physics,Mechanics & Astronomy) 2017年第2期60卷 9-17页

作者： Jianxin Chen Cheng Guo Zhengfeng Ji Yiu-Tung Poon Nengkun YU Bei Zeng Jie Zhou Joint Center for Quantum Information and Computer Science University of Maryland College Park 20740 USA Institute for Advanced Study Tsinghua University Beijing 100084 China Centre for Quantum Computation ＆ Intelligent Systems School of Software Faculty of Engineering and Information Technology University of Technology Sydney Sydney 2007 Australia State Key Laboratory of Computer Science.Institute of Software Chinese Academy of Sciences Beijing 100084 China Department of Mathematics Iowa State University Ames 50011-2140 USA Institute for Quantum Computing University of Waterloo Waterloo N2L 3G1 Canada Department of Mathematics ＆ Statistics University of Guelph Guelph N1G 2 W1 Canada Perimeter Institute for Theoretical Physics Waterloo N2L 2Y5 Canada

The reduced density matrices of a many-body quantum system form a convex set, whose three-dimensional projection is convex in R3. The boundary of may exhibit nontrivial geometry, in particular ruled surfaces. Two physical mechanisms are known for the origins of ruled surfaces： symmetry breaking and gapless. In this work, we study the emergence of ruled surfaces for systems with local Hamiltonians in infinite spatial dimension, where the reduced density matrices are known to be separable as a consequence of the quantum de Finetti＇s theorem. This allows us to identify the reduced density matrix geometry with joint product numerical range II of the Hamiltonian interaction terms. We focus on the case where the interaction terms have certain structures, such that a ruled surface emerges naturally when taking a convex hull of ∏. We show that, a ruled surface on sitting in ∏ has a gapless origin, otherwise it has a symmetry breaking origin. As an example, we demonstrate that a famous ruled surface, known as the oloid, is a possible shape of , with two boundary pieces of symmetry breaking origin separated by two gapless lines.

关键词： reduced density matrices quantum tomography numerical range quantum information oloid ruled surface

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Author Correction: BigNeuron: a resource to benchmark and predict performance of algorithms for automated tracing of neurons in light microscopy datasets

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Nature methods 2024年第10期21卷 1959页

作者： Linus Manubens-Gil Zhi Zhou Hanbo Chen Arvind Ramanathan Xiaoxiao Liu Yufeng Liu Alessandro Bria Todd Gillette Zongcai Ruan Jian Yang Miroslav Radojević Ting Zhao Li Cheng Lei Qu Siqi Liu Kristofer E Bouchard Lin Gu Weidong Cai Shuiwang Ji Badrinath Roysam Ching-Wei Wang Hongchuan Yu Amos Sironi Daniel Maxim Iascone Jie Zhou Erhan Bas Eduardo Conde-Sousa Paulo Aguiar Xiang Li Yujie Li Sumit Nanda Yuan Wang Leila Muresan Pascal Fua Bing Ye Hai-Yan He Jochen F Staiger Manuel Peter Daniel N Cox Michel Simonneau Marcel Oberlaender Gregory Jefferis Kei Ito Paloma Gonzalez-Bellido Jinhyun Kim Edwin Rubel Hollis T Cline Hongkui Zeng Aljoscha Nern Ann-Shyn Chiang Jianhua Yao Jane Roskams Rick Livesey Janine Stevens Tianming Liu Chinh Dang Yike Guo Ning Zhong Georgia Tourassi Sean Hill Michael Hawrylycz Christof Koch Erik Meijering Giorgio A Ascoli Hanchuan Peng Institute for Brain and Intelligence Southeast University Nanjing China. Microsoft Corporation Redmond WA USA. Tencent AI Lab Bellevue WA USA. Computing Environment and Life Sciences Directorate Argonne National Laboratory Lemont IL USA. Kaya Medical Seattle WA USA. University of Cassino and Southern Lazio Cassino Italy. Center for Neural Informatics Structures and Plasticity Krasnow Institute for Advanced Study George Mason University Fairfax VA USA. Faculty of Information Technology Beijing University of Technology Beijing China. Beijing International Collaboration Base on Brain Informatics and Wisdom Services Beijing China. Nuctech Netherlands Rotterdam the Netherlands. Janelia Research Campus Howard Hughes Medical Institute Ashburn VA USA. Department of Electrical and Computer Engineering University of Alberta Edmonton Alberta Canada. Ministry of Education Key Laboratory of Intelligent Computation and Signal Processing Anhui University Hefei China. Paige AI New York NY USA. Scientific Data Division and Biological Systems and Engineering Division Lawrence Berkeley National Lab Berkeley CA USA. Helen Wills Neuroscience Institute and Redwood Center for Theoretical Neuroscience UC Berkeley Berkeley CA USA. RIKEN AIP Tokyo Japan. Research Center for Advanced Science and Technology (RCAST) The University of Tokyo Tokyo Japan. School of Computer Science University of Sydney Sydney New South Wales Australia. Texas A&M University College Station TX USA. Cullen College of Engineering University of Houston Houston TX USA. Graduate Institute of Biomedical Engineering National Taiwan University of Science and Technology Taipei Taiwan. National Centre for Computer Animation Bournemouth University Poole UK. PROPHESEE Paris France. Department of Neuroscience Columbia University New York NY USA. Mortimer B. Zuckerman Mind Brain Behavior Institute Columbia University New York NY USA. Department of Computer Science Northern Illinois Universit

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Experimental Study On The Identification Model Of Dynamic Milling Force Coefficient

Experimental Study On The Identification Model Of Dynamic Mi...

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2016 4th International Conference on Machinery,Materials and computing Technology(ICMMCT 2016)

作者： Xinghua Niu Tianding Wang Tiemin Zhao Qianyou Huang Tianjin University of Technology Tianjin Key Laboratory of the Design and Intelligent Control of the Advanced Mechatronical System

The identification model of milling force coefficient is established using the model of dynamic milling force and the regression analysis of the milling force experiment data. On the basis of the existing milling force model, by simplifying and calculation, it can get the relational expression between milling force coefficient and average value of the milling force. Arranging the milling force experiment and measuring average milling force, the experiment results of milling force coefficient can be calculated. Then, the polynomial expression of identification model of milling force coefficient is established, and its coefficient values can be got by regression analysis. Finally, the accuracy and applicability of the identification model is verified by experiment. The experimental results show that the prediction results of the model are accurate and reliable, and can meet different processing conditions, provide the theoretical basis and reference for the further study of milling process and optimization.

关键词： milling force model coefficient identification orthogonal experiment regression analysis

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design and kinematics analysis of a novel liquid-brewing steamer feeding robot

Design and kinematics analysis of a novel liquid-brewing ste...

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2016年土木、建筑与环境工程国际学术会议

作者： Jiashuang Zhang Bin Li Tongchen Zhang Xinhua Zhao Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control Tianjin University of Technology

ISBN: (纸本)9781138065833

In this paper,a novel steamer feeding robot is designed and *** compared to the currently used steamer feeding robot,the feeding process of the proposed robot is continuous,and this way will greatly improve the efficiency and quality of the feeding ***,the mechanical structure and kinematics of the novel steamer feeding robot are introduced and *** then,the control system of the robot is ***,experiment evidences are given to prove the efficiently of brewing by using this robot.

关键词： design and kinematics analysis of a novel liquid-brewing steamer feeding robot

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Detect the emotions of the public based on cascade neural network model 15

Detect the emotions of the public based on cascade neural ne...

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15th IEEE/ACIS International Conference on Computer and Information Science, ICIS 2016

作者： Sun, Xiao Peng, Xiaoqi Ren, Fuji Anhui Province Key Laboratory of Affective Computing and Advanced Intelligent Machine School of Computer and Information Hefei University of Technology Hefei230009 China Faculty of Engineering University of Tokushima 2-1 Minami-Josanjima Tokushima770-8506 Japan

ISBN: (纸本)9781509008063

Along with the development of social network, more and more people know the world by reading news. The problem about what kind of emotion is inspired when people read news is very worthy of discussion. This paper will mix Deep Belief Networks (DBN) model and Support Vector Machine (SVM) to a hybrid neural network model by using the Contrast Divergence (CD) algorithm to estimate the weights when training a generating model, ensure that each layer of the Restricted Boltzmann Machine (RBM) mapping the features of the inputs to the best. At the same time, we cascade the last layer of DBN and a SVM classifier to adjust judging performance. And a set of tags will be attached to the top (Associative Memory), through a process of parameter tuning, learn the identifying weights to obtain a network for the task of text classification. The experimental results show that the hybrid neural network model works better than the traditional text categorization method based on simple characteristics (such as CHI), and it is more suitable for extracting text semantic characteristics. © 2016 IEEE.

关键词： Neural network models

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Short-term creep behavior in P91 heat-resistant steel at low stress

Short-term creep behavior in P91 heat-resistant steel at low...

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Chinese Materials Congress on Methods of design and Characterization of Materials, Research and Development of Technological Processes, 2015

作者： Zhao, Pengshuo Shen, Junjie Zhang, Hui Tianjin key Laboratory of the Design and Intelligent Control of the Advanced Mechatronical System School of Mechanical Engineering Tianjin University of Technology 391 Binshui Road Xiqing District Tianjin China Tianjin Entry-Exit Inspection and Quarantine Bureau China

ISBN: (纸本)9783038357629

P91 heat-resistant steel is widely used in the high temperature of piping components of thermal power plants and nuclear power plants. In these conditions, the typical failure of P91 is mainly caused by creep at low stress. In this investigation the short-term creep behavior in P91 at low stress was investigated by helicoid spring creep test due to its high strain-sensitivity. The helicoid spring creep was based on the assumption of pure torsion. The mechanics field was firstly studied by ANSYS finite-element simulation to find the establishing conditions of pure torsion. Secondly, the creep properties of P91 were studied under the conditions of the temperatures of 0.38Tmm and the stresses of 14.6 MPa, 25 MPa, 34 MPa, respectively. The ANSYS finite-element simulation shows that the creep deformation is considered to be pure torsion when the pitch spacing of coil is between 2mm to 4mm. The creep curves show "Normal type ", and "the stress exponent" is n=0.9. © 2016 Trans Tech Publications, Switzerland.

关键词： Creep

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Structure design and dynamic modelling of a novel modular self-reconfigurable robot

Structure design and dynamic modelling of a novel modular se...

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IEEE International Conference on Mechatronics and Automation

作者： Jie Huang Weimin Ge Xiaofeng Wang Jun Liu Tianjin Key Laboratory of the Design and Intelligent Control of the Advanced Mechatronical System Tianjin University of Technology Tianjin China

ISBN: (纸本)9781509023974

Reconfigurability of the modular robot is becoming curial to be a high flexibility for the wide varieties of tasks and environments. In this paper, a novel self-reconfigurable modular robot called M 2 sbot is designed, which has the approximate cuboid shaping structure. The unit model is with one active and five passive connection surfaces, compact structure and flexible motion. It is characterized by using the unique hook-claw docking mechanism as the docking part of the neighbor modular. And the responding control system based on STM32F103VET6 is also implemented. The forward kinematic equations of the chain robot are established, and then the dynamic equation is generated by the recursive Newton-Euler method based on the global matrix description. Finally, the calculation and simulation analysis of the six-module configuration with two branches demonstrates the feasibility of the proposed method in the generation of motion equation.

关键词： Gears Mathematical model Kinematics DC motors Robot sensing systems Robot kinematics

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A method of facial animation retargeting based on motion capture 1

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8th International Conference on Image and Graphics, ICIG 2015

作者： Zhou, Dongsheng Liang, Xiaoying Zhang, Qiang Dong, Jing Key Laboratory of Advanced Design and Intelligent Computing Dalian University Ministry of Education Dalian China

ISBN: (数字)9783319219783

ISBN: (纸本)9783319219776

By using facial motion data from passive optical motion capture system, this paper proposed an animation reconstruction approach, which is aimed to solve the common problem: model discontinuity and reconstructing a real-like facial animation. For this problem, a facial animation reconstruction approach with model divisions is proposed. We first divide facial model into different regions and request the deformed motion data by deploying RBF mapping. Then we adjust the deformed motion data to ensure their exactness. Besides, considering the nonlinear relationship of neighbors with the current point, we also proposed a facial animation reconstruction approach without model divisions, where we apply the motion of one-ring neighbors to adjust the deformed motion data. The experiments show that the proposed methods have an acceptable precision of reconstruction. © Springer International Publishing Switzerland 2015.

关键词： Radial basis function networks

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A new bioreactor for compound loading with torsion and compression

A new bioreactor for compound loading with torsion and compr...

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第五届国际仿生工程学术大会(ICBE2016)

作者： Ke Li Chunqiu Zhang School of mechanical engineering Tianjin University of Technology Tianjin Key Laboratory of the Design and Intelligent Control of the Advanced Mechanical System

This paper presents a new type of multifunctional bioreactor, which is to provide cell tissue a mechanical environment which is close to the real situation. This bioreactor is based on the concept of fatigue machine, add torsion module to compress and tension module, with new design of both loading device and culturing device by modern CAD technology. Driven by voice coil motor, step motor and a well designed mechanical structure, this machine has excellent controlling performance and no accumulated error, easy to adjust operating height, loading frequency, compressing stroke and torsioning angle. It has different loading modes, with compression or torsion separately, or providing compound load with both torsion and compression. With a delicate culturing device, the height and the limit of loading head is easy to adjust accordingly, it can also provide liquid environment during the loading process, which is closer to biological characteristics and physiological environment. After simple refit, it's also able to be used as a tension machine. This machine supplies different mechanical environment for biomechanics research to make related experiments more effective and accurate.

关键词： bioreactor compound loading torsion and compression

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The Prediction Model of Surface Roughness Based on Experiments of Turning Titanium Alloy

The Prediction Model of Surface Roughness Based on Experimen...

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IEEE International Conference on Mechatronics and Automation

作者： Cuilei Yang Qingchun Zheng Yahui Hu Tianjin Key Laboratory of the Design and Intelligent Control of the Advanced Mechatronical System Tianjin University of Technology Tianjin 300384 China

ISBN: (纸本)9781509023974

The experiments of turning titanium alloy are carried out by using central composite design, the influences of cutting speed, feed rate and cutting depth on surface roughness are analyzed. The surface roughness prediction model is established based on the response surface method. The significance of the regression equation is validated and the influences of the cutting parameters on surface roughness are compared. The results show that: within the range of cutting parameters used in the experiments, the most significant parameter on surface roughness is given by feed rate, followed by cutting depth, and the cutting speed has minimal effect on surface roughness;the prediction model is significant. It can be used to select various suitable parameters before the machining processing to predict and control the surface roughness.

关键词： Titanium alloy Surface roughness Turning Parameters

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