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A Two-Stage Solution to Quantum Process Tomography: Error Analysis and Optimal Design

IEEE Transactions on Information Theory 2025年第3期71卷 1803-1823页

作者： Xiao, Shuixin Wang, Yuanlong Zhang, Jun Dong, Daoyi Mooney, Gary J. Petersen, Ian R. Yonezawa, Hidehiro University of New South Wales School of Engineering and Technology CanberraACT2600 Australia University of Michigan-Shanghai Jiao Tong University Joint Institute Shanghai Jiao Tong University Shanghai200240 China The Australian National University School of Engineering CanberraACT2601 Australia Chinese Academy of Sciences Key Laboratory of Systems and Control Academy of Mathematics and Systems Science Beijing100190 China The Australian National University CIICADA Laboratory School of Engineering CanberraACT2601 Australia The University of Melbourne School of Physics ParkvilleVIC3010 Australia RIKEN Center for Quantum Computing Saitama351-0198 Japan Centre for Quantum Computation and Communication Technology Australian Research Council CanberraACT2600 Australia

Quantum process tomography is a critical task for characterizing the dynamics of quantum systems and achieving precise quantum control. In this paper, we propose a two-stage solution for both trace-preserving and non-trace-preserving quantum process tomography. Utilizing a tensor structure, our algorithm exhibits a computational complexity of O(MLd2) where d is the dimension of the quantum system and M, L(M≥ d2, L≥ d2) represent the numbers of different input states and measurement operators, respectively. We establish an analytical error upper bound and then design the optimal input states and the optimal measurement operators, which are both based on minimizing the error upper bound and maximizing the robustness characterized by the condition number. numerical examples and testing on IBM quantum devices are presented to demonstrate the performance and efficiency of our algorithm. © 1963-2012 IEEE.

关键词： Error analysis

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Systematic centroid error compensation for the simple Gaussian PSF in an electronic star map simulator

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Chinese Journal of Aeronautics 2014年第4期27卷 884-891页

作者： Wang Haiyong Wang Yonghai Li Zhifeng Song Zhenfei School of Astronautics Beihang University Beijing Institute of Space Long March Vehicle National Key Laboratory of Science and Technology on Test Physics & Numerical Mathematics

Simulated star maps serve as convenient inputs for the test of a star sensor, whose standardability mostly depends on the centroid precision of the simulated star image, so it is necessary to accomplish systematic error compensation for the simple Gaussian PSF（or SPSF, in which PSF denotes point spread function）. Firstly, the error mechanism of the SPSF is described, the reason of centroid deviations of the simulated star images based on SPSF lies in the unreasonable sampling positions（the centers of the covered pixels） of the Gaussian probability density function. Then in reference to the IPSF simulated star image spots regarded as ideal ones, and by means of normalization and numerical fitting, the pixel center offset function expressions are got, so the systematic centroid error compensation can be executed simply by substituting the pixel central position with the offset position in the SPSF. Finally, the centroid precision tests are conducted for the three big error cases of Gaussian radius r = 0.5, 0.6, 0.671 pixel, and the centroid accuracy with the compensated SPSF（when r = 0.5） is improved to 2.83 times that of the primitive SPSF, reaching a 0.008 pixel error, an equivalent level of the IPSF. Besides its simplicity, the compensated SPSF further increases both the shape similarity and the centroid precision of simulated star images, which helps to improve the image quality and the standardability of the outputs of an electronic star map simulator（ESS）.

关键词： Error compensation Image analysis Point spread function Star map simulation Star sensor

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Characteristic Mode Analysis for Thin Dielectric Sheets with Alternative Surface Integral Equation

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Chinese Journal of Electronics 2022年第6期31卷 1181-1188页

作者： JIA Chunlai HE Zi DING Dazhi GUAN Ling AI Xia LIU Jiaqi CHEN Xuewen Department of Communication Engineering Nanjing University of Science and Technology Science and Technology on Electromagnetic Scattering Laboratory Beijing Institute of Environmental Features National Key Laboratory of Science and Technology on Test Physics and Numerical Mathematics School of Physics and Wuhan National Laboratory for Optoelectronics Huazhong University of Science and Technology

When the dielectric sheet is electrically thin in the normal direction, the conventional volume integral equation(VIE) can be approximately simplified to the surface one. On this basis, a novel surface integral equation-based formulation is presented for analyzing characteristic mode(CM) of thin dielectric sheets. The resultant CMs are expressed with tangential and normal components of electric volume currents, which are more intuitive than the conventional VIE-based one. Due to the application of volume equivalence principle, the proposed formulation is immune to non-physical modes. The CMs of typical thin dielectric bodies, including the dielectric substrate and radome, are analyzed to show that the proposed formulation is computationally efficient with encouraging accuracy.

关键词： normal components alternative surface integral equation thin dielectric sheets normal direction electric volume currents dielectric sheet radome radomes dielectric bodies surface integral equation-based formulation volume equivalence principle thin dielectric bodies tangential components nonphysical modes electromagnetic wave scattering conventional volume integral equation integral equations characteristic mode analysis dielectric substrate

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Motion design for a walking-promotion robot and an evaluation of the effects on walking motivation 16

Motion design for a walking-promotion robot and an evaluatio...

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16th International Conference on Ubiquitous Robots (UR)

作者： Matsushita, Yume Miki, Kenta Imazaike, Takuya Yamazoe, Hirotake Lee, Joo-Ho National Key Laboratory of Science & Technology on Test Physics & Numerical Mathematics Beijing China

ISBN: (纸本)9781728132327

Falls are one of the reasons why older people need to receive care. Walking training is effective for preventing older people from falling. Accordingly, various research related to walking training has been conducted. We aimed to introduce robots in walking training of older people, and we developed a walking-promotion robot. In this paper, we designed motions for promoting walking by older people and evaluated the effects on the participants motivation to walk and the impression of the robot conveyed by the robots motions. From the experimental results, we confirmed that a robot did affect the participants motivation to walk.

关键词： Legged locomotion Acceleration Robot motion Task analysis Training Turning"

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Double-stage Metamodel and Its Application in Aerodynamic Design Optimization

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Chinese Journal of Aeronautics 2011年第5期24卷 568-576页

作者： ZHANG Dehu GAO Zhenghong HUANG Likeng WANG Mingliang National Key Laboratory of Science and Technology on Aerodynamic Design and Research Northwestern Polytechnical University Xi＇an 710072 China National Key Laboratory of Science and Technology on Test Physics ＆ Numerical Mathematical Beijing 100076 China

Constructing metamodel with global high-fidelity in design space is significant in engineering design. In this paper, a double-stage metamodel （DSM） which integrates advantages of both interpolation metamodel and regression metamodel is constructed. It takes regression model as the first stage to fit overall distribution of the original model, and then interpolation model of regression model approximation error is used as the second stage to improve accuracy. Under the same conditions and with the same samples, DSM expresses higher fidelity and represents physical characteristics of original model better. Besides, in order to validate DSM characteristics, three examples including Ackley function, airfoil aerodynamic analysis and wing aerodynamic analysis are investigated, In the end, airfoil and wing aerodynamic design optimizations using genetic algorithm are presented to verify the engineering applicability of DSM.

关键词： optimization genetic algorithm double-stage metamodel Kriging BP neural network Latin hypercube Parsecmethod

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Regulation of Shock Response in Cage-Like High-Energy-Density Materials: Competition between Strain Energy and Structural Symmetry

SSRN

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SSRN 2025年

作者： Song, Qingguan Meng, Li Jiang, Shengli Zhang, Lei Mo, Zeyao Institute of Applied Physics and Computational Mathematics Beijing100088 China CAEP Software Center for High Performance Numerical Simulation Beijing100088 China Institute of Chemical Materials China Academy of Engineering Physics Mianyang621999 China School of Materials Science & Engineering Beijing Institute of Technology Beijing100081 China State Key Laboratory of Explosion Science and Safety Protection Beijing Institute of Technology Beijing100081 China

The cage-like structures provide a unique combination of strain energy for enhanced energy storage and hyperstatic constraints to stabilize the system, positioning them as promising pioneers in advancing high-energy-density materials (HEDMs). However, the shock response of cage-like HEDMs is highly complex and exhibits significant variability, posing a grand challenge in the underlying mechanisms. This study reveals that the shock response of cage-like HEDMs is regulated by the interplay between strain energy and structural symmetry, and introduces a physical model to quantitatively describe how they determine shock stability. The investigated systems include a comprehensive series of cage-like polynitrocubane HEDMs, with each carbon atom in the backbone progressively functionalized with nitro groups. Ab initio molecular dynamics (AIMD) simulations were employed to simulate dynamic and kinetic responses at shock velocities ranging from 8 km/s to 11 km/s, with validation provided by consistent Hugoniot curves that align with reported experimental data. Nitro substituents at the carbon-based cage structure, recognized as explosion functional groups, were found to substantially increase the system's strain energy. However, an increasing number of nitro substituents also intensified electrostatic repulsion among oxygen lone pairs, which weakens structural integrity and renders the material more susceptible to disassembly under shock conditions. Conversely, structural symmetry—including both the cage-like molecular conformation and spatial packing within the crystal lattice—was found to mitigate these destabilizing effects, effectively balancing the trade-off between energy storage and structural stability. Based on these findings, we propose a physical model that captures the essential factors driving shock initiation in cage-like HEDMs, offering new insights to inform the design and application of novel advanced HEDMs. © 2025, The Authors. All rights reserved.

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Polarization effect on molecular ionization and Rydberg-state excitation in laser fields

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Optics Express 2025年第10期33卷 21796-21806页

作者： Hu, Shilin Yi, Xiaopeng Guo, Li Li, Pengcheng Chen, Jing Research Center for Advanced Optics and Photoelectronics Department of Physics College of Science Shantou University Guangdong Shantou 515063 China Key Laboratory of Intelligent Manufacturing Technology of MOE Shantou University Guangdong Shantou 515063 China Institute of Applied Physics and Computational Mathematics P.O. Box 8009 Beijing 100088 China Department of Physics Shanghai Normal University Shanghai 200234 China Department of Modern Physics Hefei National Research Center for Physical Sciences School of Physical Sciences University of Science and Technology of China Hefei 230026 China Hefei National Laboratory Hefei 230088 China

We have studied the impact of the dynamic core-electron polarization on molecular ionization and Rydberg-state excitation for CO molecules subjected to different laser pulses by numerically solving the three-dimensional time-dependent Schrödinger equations (TDSE) and semiclassical simulations. It is found that the ionization and the Rydberg-state excitation prefer to occur for the peak electric field pointing from C nucleus to O nucleus if the multielectron polarization effect is included, which are consistent with previous experimental observations. In addition, the electron tends to occupy the low-lying excited states after the occurrence of tunneling and the excitation yield increases relatively with respect to the ionization probability if the polarization effect is considered, and the above intriguing features are ascribed to the facts that the tunneling exit becomes closer to the core due to the polarization effect. © 2025 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement.

关键词： Harmonic generation Interference Ionization Lasers numerical simulation Polarization

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Automatic MHT Method Based on Target Characteristics Applied in the Small Space Targets 3

Automatic MHT Method Based on Target Characteristics Applied...

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3rd International Conference on Design, Mechanical and Material Engineering, D2ME 2018

作者： Zhao, Qian Niu, Zhenhong Xue, Lian Liu, Xin Li, Jianhua Li, Zhifeng National Key Laboratory of Science and Technology on Test Physics and Numerical Mathematics China

The Multi-Hypothesis Tracking (MHT) method is one of the most promising approaches to realize automatic tracking of small and dim targets in complex space scene. However, the number of hypotheses generated by this algorithm has an exponentially increasing relationship with the number of trajectories, measurement data, and the number of image frames. In the paper, the automatic detection and tracking method of judging the confidence coefficient of the trajectory obtained by the MHT which is based on the characteristics of dim targets, has been realized in the IRST system. The performance of this method is greatly improved. © 2018 The Authors, published by EDP sciences.

关键词： Target tracking

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The Design of Large Arc-shape High-precision Walking Device in TV (thermal-vacuum) Conditions 3

The Design of Large Arc-shape High-precision Walking Device ...

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3rd International Conference on Design, Mechanical and Material Engineering, D2ME 2018

作者： Lian, Xue Hua, Nan Jiaqi, Liu Xin, Liu Gang, Meng National Key Laboratory of Science Technology on Test Physics and Numerical Mathematics China

The large-sized space environmental simulation test facility is mainly used for providing thermal radiation environment in high-vacuum, cold and dark space for satellites, spacecraft, lunar spacecraft to carry out whole satellite thermal vacuum test and for large equipment like antenna to carry out tests in TV conditions. Monitoring the spacecraft's surface optical image or temperature is a main task in space environment simulation test. In previous tests, optical image test mainly took place in a fixed position, so the measuring location and angle are limited. This paper focuses on large spherical space environmental simulation test facility, and designs a large arc-shape high-precision walking device in a space environment simulation test device. It introduces key technology in detail like structure design, thermal design, processes and manufacturing, etc. The test results show that this device can work steadily and reliably under simulation space environments, and the precision exceeds 0.5°. © 2018 The Authors, published by EDP sciences.

关键词： Design

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Nonlinear control algorithm for smooth transition in large-angle attitude maneuver

Nonlinear control algorithm for smooth transition in large-a...

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2011 International Conference on Recent Advancements in Electrical, Electronics and Control Engineering, IConRAEeCE'11

作者： Du, Runle Liu, Jiaqi Wang, Yonghai Meng, Gang Mu, Chenyang National Key Laboratory of Science and Technology on Test Physics and Numerical Mathematics China

ISBN: (纸本)9781457721472

Large-angle attitude maneuver is common during the mission of spacecrafts, such as aligning to star to calibrate navigation system. Published works on attitude tracking always focus on optimizing the time and fuel cost, neglecting the smoothness requirement and angular speed limitations. In this paper, a nonlinear control algorithm is prompted for smooth transition in large-angle attitude maneuver. A nonlinear filter is added to the attitude feedback control loop, to carry out angular speed control in large-angle maneuvers. Simulation results demonstrated the effectiveness and reliability of proposed approach. © 2011 IEEE.

关键词： Navigation systems

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