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On Basic Constraint Qualifications for Infinite System of Convex Inequalities in Banach Spaces

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Acta Mathematica Sinica,English Series 2007年第1期23卷 65-76页

作者： xin tao YE Chong LI Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China Department of Mathematics Nanjing Xiaozhuang Institute Nanjing 210038 P. R. China Department of Mathematics Zhejiang University Hangzhou 310027 P R China

The BCQ and the Abadie CQ for infinite systems of convex inequalities in Banach spaces are characterized in terms of the upper semi-continuity of the convex cones generated by the subdifferentials of active convex functions. Some relationships with other constraint qualifications such as the CPLV and the Slate condition are also studied. Applications in best approximation theory are provided.

关键词： system of convex inequalities basic constraint qualification Abadie constraint qualification best approximation

Theoretical and numerical studies of chorus waves: A review

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Science China Earth Sciences 2020年第1期63卷 78-92页

作者： xin tao Fulvio ZONCA Liu CHEN Yifan WU CAS Key Laboratory of Geospace Environment Department of Geophysics and Planetary SciencesUniversity of Science and Technology of ChinaHefei 230026China CAS Center for Excellence in Comparative Planetology Hefei 230026China ENEA Centro Ricerche Frascati CP 65-00044 FrascatiItaly Institute of Fusion Theory and Simulation and Department of Physics Zhejiang UniversityHangzhou 310027China Department of Physics and Astronomy University of CaliforniaIrvineCA 92697USA

Theoretical and numerical models of chorus waves are reviewed in this paper. Specifically, we focus on the nonlinear wave particle interactions and the current understanding of the frequency chirping of rising tone chorus waves. Various other related topics, such as the optimal excitation condition of chorus, the formation of subpackets, and the non-adiabaticity of the nonlinear interaction are also discussed. We end this review paper with a short list of questions of chorus waves that are still under research and debate.

关键词： Chorus waves Frequency chirping Triggered emissions

A quantum-enhanced magnetometer using a single high-spin nucleus in silicon

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Chinese Physics B 2024年第9期33卷 110-115页

作者： tao xin Ke Zhang Jun Li Shenzhen Institute for Quantum Science and Engineering Southern University of Science and TechnologyShenzhen 518055China Guangdong Provincial Key Laboratory of Quantum Science and Engineering Southern University of Science and TechnologyShenzhen 518055China Physikalisch-Technische Bundesanstalt Bundesallee 10038116 BraunschweigGermany Institute of Quantum Precision Measurement State Key Laboratory of Radio Frequency Heterogeneous IntegrationShenzhen UniversityShenzhen 518060China College of Physics and Optoelectronic Engineering Shenzhen UniversityShenzhen 518060China

Quantum enhanced metrology has the potential to go beyond the standard quantum limit and eventually to the ultimate Heisenberg *** particular,quantum probes prepared in nonclassical coherent states have recently been recognized as a useful resource for ***,there has been considerable interest in constructing magnetic quantum sensors that combine high resolution and high ***,we explore a nanoscale magnetometer with quantum-enhanced sensitivity,based on 123Sb(I=7/2)nuclear spin doped in silicon,that takes advantage of techniques of spin-squeezing and coherent *** the optimal squeezed initial state,the magnetic field sensitivity may be expected to approach 6 aT·Hz^(−1/2)·cm^(−3/2) and 603 nT·Hz^(−1/2) at the single-spin *** magnetic sensor may provide a novel sensitive and high-resolution route to microscopic mapping of magnetic fields as well as other applications.

关键词： quantum magnetometer silicon quantum qubit nuclear electrical resonance

The spatial scaling effect of continuous canopy Leaves Area Index retrieved by remote sensing

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Science China Earth Sciences 2009年第3期52卷 393-401页

作者： XU XiRu FAN WenJie tao xin Institute of Remote Sensing and GIS Peking UniversityBeijing 100871China

Leave Area Index (LAI) is one of the most basic parameters to describe the geometric structure of plant canopies. It is also important input data for climatic model and interaction model between Earth surface and atmosphere, and some other things. The spatial scaling of retrieved LAI has been widely studied in recent years. Based on the new canopy reflectance model, the mechanism of the scaling effect of con- tinuous canopy Leaf Area Index is studied, and the scaling transform formula among different scales is found. Both the numerical simulation and the field validation show that the scale transform formula is reliable.

关键词： spatial scaling effect remotely sensed LAI the true LAI the reflectance model of continuous canopy

Stable Propagating Waves and Wake Fields in Relativistic Electromagnetic Plasma

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Communications in Theoretical Physics 2008年第3期49卷 753-758页

作者： XIE Bai-Song YIN xin-tao The Key Laboratory of Beam Technology and Materials Modification of Ministry of Education Beijing Normal University Beijing 100875 China

Stable propagating waves and wake fields in relativistic electromagnetic plasma are investigated. The incident electromagnetic field has a finite initial constant amplitude meanwhile the longitudinal momentum of electrons is taken into account in the problem. It is found that in the moving frame with transverse wave group velocity the stable propagating transverse electromagnetic waves and longitudinal plasma wake fields can exist in the appropriate regime of plasma.

关键词： nonlinear wave propagation laser-plasma interactions

Efficient universal quantum channel simulation in IBM＇s cloud quantum computer

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Science China(Physics,Mechanics & Astronomy) 2018年第7期61卷 44-53页

作者： Shi-Jie Wei tao xin Gui-Lu Long State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics Tsinghua University Beijing 100084 China Tsinghua National Laboratory of Information Science and Technology Beijing 100084 China Collaborative Innovation Center of Quantum Matter Beijing 100084 China

The study of quantum channels is an important field and promises a wide range of applications, because any physical process can be represented as a quantum channel that transforms an initial state into a final state. Inspired by the method of performing non-unitary operators by the linear combination of unitary operations, we proposed a quantum algorithm for the simulation of the universal single-qubit channel, described by a convex combination of ＂quasi-extreme＂ channels corresponding to four Kraus operators, and is scalable to arbitrary higher dimension. We demonstrated the whole algorithm experimentally using the universal IBM cloud-based quantum computer and studied the properties of different qubit quantum channels. We illustrated the quantum capacity of the general qubit quantum channels, which quantifies the amount of quantum information that can be protected. The behavior of quantum capacity in different channels revealed which types of noise processes can support information transmission, and which types are too destructive to protect information. There was a general agreement between the theoretical predictions and the experiments, which strongly supports our method. By realizing the arbitrary quhit channel, this work provides a universally- accepted way to explore various properties of quantum channels and novel prospect for quantum communication.

关键词： quantum channel quantum algorithm quantum capacity IBM quantum cloud

The Necessary and Sufficient Conditions for a Universal Conservation of a State of a Unitary Quantum Circuit

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Communications in Theoretical Physics 2002年第7期38卷 31-34页

作者： LI Da-Fa LI xin-xin HUANG Hong-tao Department of Mathematics Tsinghua University Beijing 100084 China Department of Computer Science Wayne State University Detroit MI 48202 USA Electrical Engineering and Computer Science Department University of Michigan Ann Arbor MI 48109 USA

By A. Peres and A. Stern's opinions a computational process evolves along a cyclic logic orbit defined by a computation. A. Stern thought that if we could design such a circuit, its operations can be extended to including nonconservative behavior associated with the external perturbations or internal quantum errors. A. Peres did not discuss how to make φM-1 ＝φo. A. Stern proposed only a necessary condition for a conservation of a state of a quantum *** this paper we present a necessary and sufficient condition for a universal conservation of a state of a quantum *** also find all operators which can allow the conservation.

关键词： logic operators, matrix logic, quantum circuits

The association of intraocular pressure with metabolic syndrome and its components: a Meta-analysis and systematic review

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International Journal of Ophthalmology(English edition) 2019年第3期12卷 510-516页

作者： Yi-xin Wang Jian-xin tao Yong Yao Department of Ophthalmology Wuxi People's Hospital Affiliated to Nanjing Medical University

AIM: To perform a Meta-analysis to explore the correlation between metabolic syndrome and intraocular pressure(IOP).METHODS: We searched PubMed and Embase in November 2017 for studies discussing the relationship between metabolic syndrome components and IOP in patients. Pearson correlation coefficients, odds ratios and standardized betas were extracted from inclusive studies. Heterogeneity and publication bias were ***: Of 295 articles, 10 met inclusion criteria and provided sufficient data for Meta-analysis. Results showed a significant positive relation between metabolic syndrome and IOP(Z=0.47, 95%CI: 0.15-0.79, P=0.005). The five components [waist circumference, hypertriglyceridemia, high blood pressure, high fasting glucose and low high density lipoprotein(HDL)-cholesterol] of metabolic syndrome all showed positive correlation with IOP except the low HDL-cholesterol which had no statistical significance. The pooled Z was 0.08(95%CI: 0.04-0.12), 0.16(95%CI: 0.11-0.21), 0.16(95%CI: 0.10-0.22), 0.30(95%CI: 0.20-0.40) and 0.12(95%CI: 0.08-0.16), respectively. Begg's test and Egger's test showed no evidence of significant publication bias of this ***: Our findings suggest that metabolic syndrome and its components are significantly associated with IOP, besides the HDL-cholesterol. This association may be used to control IOP by intervening the occurrence of metabolic syndrome.

关键词： intraocular pressure metabolic syndrome Meta-analysis

Two new species of Leodamas Kinberg, 1866 (Annelida, Orbiniidae) from China seas

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Journal of Oceanology and Limnology 2022年第4期40卷 1654-1661页

作者： Yue SUN xin tao Boping TANG xinzheng LI School of Wetland Jiangsu Provincial Key Laboratory of Coastal Wetland Bioresources and Environmental ProtectionJiangsu Key Laboratory for Bioresources of Saline SoilsYancheng Teachers UniversityYancheng 224051China Institute of Oceanology Chinese Academy of SciencesQingdao 266071China Center for Ocean Mega-Science Chinese Academy of SciencesQingdao 266071China University of Chinese Academy of Sciences Beijing 100049China Laboratory for Marine Biology and Biotechnology Pilot National Laboratory for Marine Science and Technology(Qingdao)Qingdao 266237China

Two species of Leodamas(Annelida,Orbiniidae)from China seas are described based on both material of the Marine Biological Museum(Chinese Academy of Sciences,Qingdao),and newly collected *** robustus *** characterized by having uncini arranged in two short rows,anterior row with 3-5 uncini,increasing in size,with uncini on posterior chaetigers thicker,heavier and more curved than those on precedent chaetigers;posterior row with 2-5 uncini,thin and delicate,nearly the same size on all chaetigers,with 2-3 thin capillaries dorsally to two rows of *** weizhouensis *** characterized by having delicate pocket-like membrane below and posterior to neuropodia,neuropodia of thoracic chaetigers with fi ve dense rows of uncini.A key to all species of Leodamas from China seas is also provided.

关键词： Beibu Gulf East China Sea Polychaeta South China Sea taxonomy