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SFFT-based homogenization:using tensor trains to enhance FFT-based homogenization 认领 引用 被引量：1
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作者 Sascha H.Hauck Matthias Kabel +1 位作者 Mazen Ali Nicolas R.Gauger 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第6期4-26,共23页
Homogenization is a fundamental technique for estimating the macroscopic properties of materials with microscale heterogeneity.Among homogenization methods,the fast Fourier transform(FFT)-based homogenization algorith... Homogenization is a fundamental technique for estimating the macroscopic properties of materials with microscale heterogeneity.Among homogenization methods,the fast Fourier transform(FFT)-based homogenization algorithm has become widely used due to its computational efficiency and ability to handle complex microstructures.Nevertheless,even with GPU acceleration,FFT-based homogenization for industrial applications remains excessively time-consuming,particularly when generating elastic training data for AI models.This is due to the curse of dimensionality,which arises from the algorithms reliance on the FFT,creating a fundamental bottleneck.In this paper,we propose a quantum-inspired superfast Fourier transform(SFFT)-based homogenization algorithm that leverages the improved time complexity of a tensor train variant of the Quantum Fourier Transform.By additionally exploiting structural properties of the underlying microstructure,our method achieves exponential improvements in time complexity and memory efficiency compared to the traditional FFT-based technique—all while remaining executable on classical hardware.We evaluate the performance of our algorithm across increasingly complex microstructures,demonstrating its potential advantages and limitations. 展开更多
关键词 Homogenization Tensornetworks Tensortrains Quantumcomputing SuperfastFouriertransform
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Modeling noise in quantum computing of scalar convection 认领 引用 被引量：1
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作者 Jiahua Yang Zhen Lu Yue Yang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第6期152-164,共13页
Quantum computing holds potential for accelerating the simulation of fluid dynamics.However,hardware noise in the noisy intermediate-scale quantum era significantly distorts simulation accuracy.Although error magnitud... Quantum computing holds potential for accelerating the simulation of fluid dynamics.However,hardware noise in the noisy intermediate-scale quantum era significantly distorts simulation accuracy.Although error magnitudes are frequently quantified,the specific physical effects of quantum noise on flow simulation results remain largely uncharacterized.We investigate the influence of gate noise on the quantum simulation of one-dimensional scalar convection.By employing a quantum spectral algorithm where ideal time advancement affects only Fourier phases,we isolate and analyze noise-induced artifacts in spectral magnitudes.We derive a theoretical transition matrix based on Hamming distances between computational basis states to predict spectral decay,and then validate this model against density-matrix simulations and experiments on a superconducting quantum processor.Furthermore,using data-driven sparse regression,we demonstrate that quantum noise manifests in the effective partial differential equation primarily as artificial diffusion and nonlinear source terms.These findings suggest that quantum errors can be modeled as deterministic physical terms rather than purely stochastic perturbations. 展开更多
关键词 Scalarconvection Quantumcomputing Quantumnoise Transitionmatrix Data-drivenmodeling
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Nuclear magnetic resonance for quantum computing: Techniques and recent achievements 认领 引用 被引量：2
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作者 辛涛 王碧雪 +5 位作者 李可仁 孔祥宇 魏世杰 王涛 阮东 龙桂鲁 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第2期154-165,共12页
Rapid developments in quantum information processing have been made, and remarkable achievements have been obtained in recent years, both in theory and experiments. Coherent control of nuclear spin dynamics is a power... Rapid developments in quantum information processing have been made, and remarkable achievements have been obtained in recent years, both in theory and experiments. Coherent control of nuclear spin dynamics is a powerful tool for the experimental implementation of quantum schemes in liquid and solid nuclear magnetic resonance （NMR） system, especially in liquid-state NMR. Compared with other quantum information processing systems, the NMR platform has the advantages such as the long coherence time, the precise manipulation, and well-developed quantum control techniques, which make it possible to accurately control a quantum system with up to 12-qubits. Extensive applications of liquid-state NMR spectroscopy in quantum information processing such as quantum communication, quantum computing, and quantum simulation have been thoroughly studied over half a century. This article introduces the general principles of NMR quantum information processing, and reviews the new-developed techniques. The review will also include the recent achievements of the experimental realization of quantum algorithms for machine learning, quantum simulations for high energy physics, and topological order in NMR. We also discuss the limitation and prospect of liquid-state NMR spectroscopy and the solid-state NMR systems as quantum computing in the article. 展开更多
关键词 nuclear magnetic resonance quantum control techniques machine learning topological quantumcomputing
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Quantum-inspired bacterial foraging algorithm for parameter adjustment in green cognitive radio 认领 引用 被引量：5
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作者 Hongyuan Gao Chenwan Li 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2015年第5期897-907,共11页
Parameter adjustment that maximizes the energy efficiency of cognitive radio networks is studied in this paper where it can be investigated as a complex discrete optimization problem. Then a quantum-inspired bacterial... Parameter adjustment that maximizes the energy efficiency of cognitive radio networks is studied in this paper where it can be investigated as a complex discrete optimization problem. Then a quantum-inspired bacterial foraging algorithm(QBFA)is proposed. Quantum computing has perfect characteristics so as to avoid local convergence and speed up the optimization of QBFA. A proof of convergence is also given for this algorithm.The superiority of QBFA is verified by simulations on three test functions. A novel parameter adjustment method based on QBFA is proposed for resource allocation of green cognitive radio. The proposed method can provide a globally optimal solution for parameter adjustment in green cognitive radio networks. Simulation results show the proposed method can reduce energy consumption effectively while satisfying different quality of service(Qo S)requirements. 展开更多
关键词 green cognitive radio parameter adjustment quantumcomputing bacterial foraging algorithm
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Quantum hyperentanglement and its applications in quantum information processing 认领 引用 被引量：25
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作者 Fu-Guo Deng Bao-Cang Ren Xi-Han Li 《Science Bulletin》 SCIE EI CAS CSCD 2017年第1期46-68,共23页
Hyperentanglement is a promising resource in quantum information processing with its high capacity character, defined as the entanglement in multiple degrees of freedom(DOFs) of a quantum system, such as polarization,... Hyperentanglement is a promising resource in quantum information processing with its high capacity character, defined as the entanglement in multiple degrees of freedom(DOFs) of a quantum system, such as polarization, spatial-mode, orbit-angular-momentum, time-bin and frequency DOFs of photons.Recently, hyperentanglement attracts much attention as all the multiple DOFs can be used to carry information in quantum information processing fully. In this review, we present an overview of the progress achieved so far in the field of hyperentanglement in photon systems and some of its important applications in quantum information processing, including hyperentanglement generation, complete hyperentangled-Bell-state analysis, hyperentanglement concentration, and hyperentanglement purification for high-capacity long-distance quantum communication. Also, a scheme for hyper-controlled-not gate is introduced for hyperparallel photonic quantum computation, which can perform two controlled-not gate operations on both the polarization and spatial-mode DOFs and depress the resources consumed and the photonic dissipation. 展开更多
关键词 Quantum hyperentanglement High-capacity quantum communication Concentration and purification Hyperparallel photonic quantumcomputation Quantum information processing
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