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Variational quantum algorithms for trace norms and their applications

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Communications in Theoretical Physics 2021年第10期73卷 90-96页

作者： Sheng-Jie Li jin-min liang Shu-Qian Shen ming Li College of Science China University of Petroleum266580 QingdaoChina School of Mathematical Sciences Capital Normal University100048 BeijingChina

The trace norm of matrices plays an important role in quantum information and quantum computing. How to quantify it in today’s noisy intermediate scale quantum(NISQ) devices is a crucial task for information processing. In this paper, we present three variational quantum algorithms on NISQ devices to estimate the trace norms corresponding to different *** with the previous methods, our means greatly reduce the requirement for quantum resources. Numerical experiments are provided to illustrate the effectiveness of our algorithms.

关键词： quantum algorithm trace norm variational algorithm

Variational quantum support vector machine based on Hadamard test

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Communications in Theoretical Physics 2022年第5期74卷 61-69页

作者： Li Xu Xiao-Yu Zhang jin-min liang jing Wang ming Li Ling Jian Shu-qian Shen College of Science China University of PetroleumQingdao 266580 China School of Mathematical Sciences Capital Normal UniversityBeijing 100048China School of Economics and Management China University of PetroleumQingdao 266580China

Classical machine learning algorithms seem to be totally incapable of processing tremendous amounts of data,while quantum machine learning algorithms could deal with big data with ease and provide exponential acceleration over classical ***,variational quantum algorithms are widely proposed to solve relevant computational problems on noisy,intermediate-scale quantum *** this paper,we apply variational quantum algorithms to quantum support vector machines and demonstrate a proof-of-principle numerical experiment of this *** addition,in the classification stage,fewer qubits,shorter circuit depth,and simpler measurement requirements show its superiority over the former algorithms.

关键词： quantum support vector machine Hadamard test variational quantum algorithm

Flux-Bridgman growth and characterization of Mn-doped ZnO single crystals

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Progress in Natural Science:Materials International 2011年第5期21卷 363-367页

作者： Jia-yue XU,Qing-bo HE,Hui SHEN,min jin,Bao-liang LU,Yan ZHANG,Zhan-yong WANG School of Materials Science and Engineering,Shanghai Institute of Technology,Shanghai 201418,China School of Materials Science and Engineering Shanghai Institute of Technology Shanghai 201418 China

Mn-doped ZnO single crystals have been grown by the flux-Bridgman method from a high temperature solution of 24% ZnO-76%PbF2(molar fraction).A fast nucleation was induced by the gas-cooling system at the bottom of the Pt crucible.A red *** crystal up to 13 mm×15 mm×(3-4) mm was *** XRD patterns showed that the as-grown crystals were in wurtzite *** Probe Microanalyser(EPMA) revealed that some PbF2inclusions formed due to fast *** additional Raman mode at 524 cm ’ was attributed to the incorporation of Mn ions into ZnO ***-line hyperfine structure was observed in the electron paramagnetic resonance(EPR) spectra,which confirmed that Mn ions occupied Zn2+lattice sites with valence state of +2.

关键词： crystal growth flux-Bridgman technique Mn-doping ZnO crystal

Bounds on positive operator-valued measure based coherence of superposition

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Chinese Physics B 2023年第5期32卷 228-234页

作者：郭梦丽梁津敏李波费少明王志玺 School of Mathematical Sciences Capital Normal UniversityBeijing 100048China School of Computer and Computing Science Hangzhou City UniversityHangzhou 310015China Max–Planck-Institute for Mathematics in the Sciences Leipzig 04103Germany

Quantum coherence is a fundamental feature of quantum physics and plays a significant role in quantum information *** generalizing the resource theory of coherence from von Neumann measurements to positive operatorvalued measures(POVMs),POVM-based coherence measures have been proposed with respect to the relative entropy of coherence,the l_(1) norm of coherence,the robustness of coherence and the Tsallis relative entropy of *** derive analytically the lower and upper bounds on these POVM-based coherence of an arbitrary given superposed pure state in terms of the POVM-based coherence of the states in *** results can be used to estimate range of quantum coherence of superposed *** examples are presented to verify our analytical bounds.

关键词： coherence POVM-based coherence relative entropy l_(1)norm Tsallis relative entropy

CALIBRATION OF A THERMAL MEMS SHEAR STRESS SENSOR ARRAY

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CALIBRATION OF A THERMAL MEMS SHEAR STRESS SENSOR ARRAY

NUMERICAL SIMULATION INVESTIGATION ON PARAMETERS INFLUENCING SYNTHETIC-JET FOR ACTIVE FLOW CONTROL

2012全国压电和声波理论及器件技术研讨会

作者： jin-min liang Dang-guo YANG Jian-qiang LI Wei-min JIANG Chun-yang LI State Key Laboratory of Aerodynamics China Aerodynamics Research and Development Center High Speed Aerodynamics Research Institute China Aerodynamics Research and Development Center

Accurate measurement of wall shear stress is very important for understanding wall bounded shear flows properly,because it provides significant information about the flow phenomena,including viscous drag,the position where the flow transits to turbulence or separates from the *** measurement of shear stresses based on traditional fabrication technology are much too bulky to accomplish the task perfectly and may destroy the research matrix surface and most likely impossible to be used in any large-scale *** conflict between sensor size and sensitivity is the maximal impedance to the *** making the sensor smaller flexible with high time resolution can bring the boundary layer research to a new *** way of achieving these requirements is micro-fabricated *** paper presents that by taking advantage of MEMS fabrication techniques,sensors can response very quickly to the fluctuations in the flow and do not destroy the model ***,combining an integrating technology,plenty of sensors can be integrated to a membrane for measuring the wall shear stress in larger area *** characterization of a MEMS based thermal shear stress sensor array for high speed flow is presented in this *** static responses for different overheat ratios were obtained via a fully developed duct flow with Ma number 0.1-0.6,and the influence of temperature to the sensor output voltage was measured using a heater with four resistance coils which is able to change the flow temperature of the test section from 289-313 *** relationship between the output voltage and shear stress at overheat ratio of 1.2 is *** to that above,calibration methods is very key technique for application of MEMS sensors on flow measurement in high speed wind ***,the method can provide useful help for application and development of MEMS sensors.

关键词： MEMS Shear stress sensor Calibration Flow measurement High-speed wind tunnel

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NUMERICAL SIMULATION INVESTIGATION ON PARAMETERS INFLUENCING...

EFFECTS OF BOUNDARY-LAYER THICKNESS ON AERO-ACOUSTICS CHARACTERISTICS OF SUBSONIC SHALLOW CAVITY FLOW

2012全国压电和声波理论及器件技术研讨会

作者： Dang-guo YANG Jun LIU Yi ZHANG jin-min liang Yao-hua LI State Key Laboratory of Aerodynamics China Aerodynamics Research and Development Center High Speed Aerodynamics Research Institute China Aerodynamics Research and Development Center School of Aerospace Tsinghua University

Synthetic-Jet（SJ） technology is a novel method for flow control in aerodynamic design of *** development of science and technology,flow control method based on SJ technology makes significant progress,and it is very ***,Synthetic-Jet actuator（SJA） has advantages of light weight,simple structure,no need for external air *** incessant requirements for high performances of spacecrafts,the application of active flow control technology,especially SJ technology,turns into one of the hottest research *** this paper,based on two-dimensional structured moving grids algorithm and multi-block grid technology,numerical simulation investigation about the effects of parameters on the performances of SJA is *** research results indicate that the maximum jet velocity increases as the SJA vibration frequency and amplitude increase,and decreases as the orifice diameter *** orifice thickness has little influence on the maximum jet *** flow presents turbulent characteristics at high Reynolds number（Re）,and the increase of Re makes diameter of vortex core and attenuation speed greater,the increase of Strouhal number（St） makes diameter of vortex core *** a word,the paper presents effects of different physical parameters,such as operating parameters,orifice parameters,Re,St,and so on,on flow characteristics of *** results may provide technical support for the design and application of SJA.

关键词： Synthetic-Jet Active flow control Structured moving grids Parameters Numerical simulation

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EFFECTS OF BOUNDARY-LAYER THICKNESS ON AERO-ACOUSTICS CHARAC...

Sky location of massive black hole binaries in the foreground of Galactic white dwarf binaries

2012全国压电和声波理论及器件技术研讨会

作者： Dang-guo YANG Jian-qiang LI jin-min liang Yao-hua LI Jun LIU State Key Laboratory of Aerodynamics China Aerodynamics Research and Development Center High Speed Aerodynamics Research Institute China Aerodynamics Research and Development Center School of Aerospace Tsinghua University

High-speed flows in cavities such as grooves,wheel wells,and weapon bays,are often encountered in aerospace and aeronautical *** most cases the flow field is complex and unsteady,featured by shear-layer instability,flow separation and formation of vortex structures,shock wave/boundary-layer interactions at transonic and supersonic *** unsteady flow characteristics occur therein,such as fluctuating pressure and *** aerodynamic noise inside the cavity can reach 170 dB,which can damage some installed apparatus inside the cavity and structural components of the ***-stream boundary layer has significant influence on aero-acoustic characteristics inside *** paper presents that sound pressure level(SPL) distributions and sound pressure frequency spectrum(SPFS) characteristics at different measurement positions on cavity floor centerline utilizing two terms of experimental results under experimental *** of different free-stream boundary-layer thickness to cavity depth ratios on shallow cavities(transitional and closed cavity flow) were *** data presented herein was obtained about the cavities with length to depth ratios of 12 and 15 over a Mach number of 0.6 at a Reynolds number of 1.23×10 per *** results show that decrease in the boundary-layer thickness to the cavity depth ratios(δ/D)causes SPL amplification and noise enhancement at different measurement positions inside the cavities,especially the front and ***,decrease in δ/D)has a significant influence on SPFS characteristics and leads to increase in SPL in the frequency range of 0Hz

关键词： Boundary layer thickness Shallow cavities Aero-acoustic characteristics Subsonic speeds Sound pressure level(SPL) Sound pressure frequency spectrum(SPFS)

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Science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 97-108页

作者： Pan Guo Hong-Bo jin Cong-Feng Qiao Yue-liang Wu The International Centre for Theoretical Physics Asia-Pacific University of Chinese Academy of Sciences The School of Physical Sciences University of Chinese Academy of Sciences Institute for Frontiers in Astronomy and Astrophysics Beijing Normal University National Astronomical Observatories Chinese Academy of Sciences Institute of Theoretical Physics Chinese Academy of Sciences

For space-based gravitational wave （GW） detection,the main noise source for massive black hole binaries （MBHBs） is attributed to approximately 10～7double white dwarf binaries in the *** a GW source,the amplitude of the detector response,recorded by a space-based gravitational wave detector,exhibits a modulation effect with a year period when observing the source from various orbital *** the adverse conditions mentioned above,where there is a strong foreground noise and annual modulation in the signals,we employed the wavelet transform and the strong-amplitude relevant orbital position search methods,which allows the weak MBHB sources to achieve higher locating *** detail,for two MBHB sources of lower intensity,the precision of luminosity distance,represented by the ratio ?DL/DLat the 95%confidence level,is enhanced by factors of ～*** angular resolutions,denoted by??s,are enhanced by a factor of ～*** improvements increase the number of detectable GW sources,facilitate multi-messenger follow-up observations and provide constraints on the cosmological constant.

关键词： space-based gravitational wave detection gravitational waves massive black hole binaries

Vector meson's spin alignments in high energy reactions

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Science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 5-20页

作者： jin-Hui Chen Zuo-Tang liang Yu-Gang Ma Xin-Li Sheng Qun Wang Key Laboratory of Nuclear Physics and Ion-beam Application (MoE) Institute of Modern PhysicsFudan University Institute of Frontier and Interdisciplinary Science Key Laboratory of Particle Physics and Particle Irradiation (MOE)Shandong University INFN-Firenze Department of Modern Physics University of Science and Technology of China School of Mechanics and Physics Anhui University of Science and Technology

The global spin alignment of vector mesons has been observed by the STAR collaboration at the Relativistic Heavy Ion Collider （RHIC） at Brookhaven National Laboratory （BNL）.It provides a unique opportunity to probe the correlation between the polarized quark and antiquark in the strongly coupled quark-gluon plasma （sQGP） produced in relativistic heavy ion collisions,opening a new window to explore the properties of s *** addition,spin alignments of vector mesons have also been observed in other high-energy particle collisions such as e+e-annihilations at high energies where hadron production is dominated by quark fragmentation *** results obtained are quite different from those obtained in heavy ion collisions where quark coalescence/combination mechanism dominates suggesting strong dependence on hadronization *** comprehensive studies in different hadronization processes are *** this article,we present a brief review of theoretical and experimental advances in the study of vector meson’s spin alignments in a variety of high-energy particle collisions,with emphasis on hadronization mechanisms.

关键词： vector meson spin alignment global polarization relativistic heavy ion collisions fragmentation