检索结果-内蒙古大学图书馆

Quantum circuits for the heat equation with physical boundary conditions via Schrödingerization

Journal of Computational Physics 2025年 538卷

作者： Shi Jin Nana Liu Yue Yu School of Mathematical Sciences Institute of Natural Sciences MOE-LSC Shanghai Jiao Tong University Shanghai 200240 China University of Michigan-Shanghai Jiao Tong University Joint Institute Shanghai 200240 China School of Mathematics and Computational Science Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education National Center for Applied Mathematics in Hunan Hunan Key Laboratory for Computation and Simulation in Science and Engineering Xiangtan University Xiangtan 411105 Hunan China

This paper explores the explicit design of quantum circuits for quantum simulation of partial differential equations (PDEs) with physical boundary conditions. These equations and/or their discretized forms usually do not evolve via unitary dynamics, thus are not directly suitable for quantum simulation. Boundary conditions (either time-dependent or independent) make the problem more difficult. To tackle this challenge, the Schrödingerization method can be employed, which converts linear partial and ordinary differential equations with non-unitary dynamics into systems of Schrödinger-type equations, via the so-called warped phase transformation that maps the equation into one higher dimension. Despite advancements in Schrödingerization techniques, the explicit implementation of quantum circuits for solving general PDEs, especially with physical boundary conditions, remains underdeveloped. We present two methods for handling the inhomogeneous terms arising from time-dependent physical boundary conditions. One approach utilizes Duhamel’s principle to express the solution in integral form and employs linear combination of unitaries (LCU) for coherent state preparation. Another method applies an augmentation to transform the inhomogeneous problem into a homogeneous one. We then apply the quantum simulation technique from [1] to transform the resulting non-autonomous system to an autonomous system in one higher dimension. We provide detailed implementations of these two methods and conduct a comprehensive complexity analysis in terms of queries to the time evolution input oracle.

关键词：

来源：评论

学校读者我要写书评

暂无评论

Self-learning and self-adaptive resource allocation for cloud-based software services

Self-learning and self-adaptive resource allocation for clou...

引用

作者： Chen, Xing Lin, Junxin Lin, Bing Xiang, Tao Zhang, Ying Huang, Gang College of Mathematics and Computer Science Fuzhou University Fuzhou China Key Laboratory of Spatial Data Mining & Information Sharing Ministry of Education Fuzhou China Fujian Key Laboratory of Network Computing and Intelligent Information Processing Fuzhou China College of Physics and Energy Fujian Normal University Fuzhou China Key Laboratory of High Confidence Software Technologies Ministry of Education Beijing China

In the presence of scale, dynamism, uncertainty, and elasticity, cloud engineers face several challenges when allocating resources for cloud-based software services. They should allocate appropriate resources in order to guarantee good quality of services as well as low cost of resources. Self-adaptive ability is needed in this process because engineers' intervention is difficult. Traditional self-adaptive resource allocation methods are policy-driven. Thus, cloud engineers usually have to develop separate sets of rules for each systems in order to allocate resources effectively, which leads to high administrative cost and implementation complexity. Machine learning has made great achievements in many fields, and it can be also applied to resource allocation. In this paper, we present a self-learning and self-adaptive approach to resource allocation for cloud-based software services. For a given cloud-based software service, its QoS model is firstly trained on history data, which is capable to predict the QoS value as output by using the information on workload and allocated resources as inputs. Then, on-line decision-making on resource allocation can be carried out automatically based on genetic algorithm, which is aimed to search reasonable resource allocation plan by using the QoS model. We evaluate our approach on RUBiS benchmark, demonstrating the accuracy of the QoS model over 90% and the improvement of resource utilization by 10%-30%. © 2018 John Wiley & Sons, Ltd.

关键词： Resource allocation

来源：评论

学校读者我要写书评

暂无评论

Schrödingerization based quantum algorithms for the fractional Poisson equation

arXiv

引用

arXiv 2025年

作者： Jin, Shi Liu, Nana Yu, Yue School of Mathematical Sciences Institute of Natural Sciences MOE-LSC Shanghai Jiao Tong University Shanghai200240 China University of Michigan Shanghai Jiao Tong University Joint Institute Shanghai200240 China School of Mathematics and Computational Science Hunan Key Laboratory for Computation and Simulation in Science and Engineering Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education National Center for Applied Mathematics in Hunan Xiangtan University Hunan Xiangtan411105 China

We develop a quantum algorithm for solving high-dimensional fractional Poisson equations. By applying the Caffarelli-Silvestre extension, the d-dimensional fractional equation is reformulated as a local partial differential equation in d + 1 dimensions. We propose a quantum algorithm for the finite element discretization of this local problem, by capturing the steady-state of the corresponding differential equations using the Schrödingerization approach from [29, 39, 40]. The Schrödingerization technique transforms general linear partial and ordinary differential equations into Schrödinger-type systems, making them suitable for quantum simulation. This is achieved through the warped phase transformation, which maps the equation into a higher-dimensional space. We provide detailed implementations of the method and conduct a comprehensive complexity analysis, which can show up to exponential advantage – with respect to the inverse of the mesh size in high dimensions – compared to its classical counterpart. Specifically, while the classical method requires Oe(d1/233d/2h−d−2) operations, the quantum counterpart requires Oe(d33d/2h−2.5) queries to the block-encoding input models, with the quantum complexity being independent of the dimension d in terms of the inverse mesh size h−1. Numerical experiments are conducted to verify the validity of our formulation. © 2025, CC BY-NC-ND.

关键词： Poisson equation

来源：评论

学校读者我要写书评

暂无评论

On the Schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries

arXiv

引用

arXiv 2025年

作者： Jin, Shi Liu, Nana Ma, Chuwen Yu, Yue School of Mathematical Sciences Institute of Natural Sciences MOE-LSC Shanghai Jiao Tong University Shanghai200240 China University of Michigan Shanghai Jiao Tong University Joint Institute Shanghai200240 China Hunan Key Laboratory for Computation and Simulation in Science and Engineering Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education National Center for Applied Mathematics in Hunan School of Mathematics and Computational Science Xiangtan University Hunan Xiangtan411105 China

The Schrödingerization method converts linear partial and ordinary differential equations with non-unitary dynamics into systems of Schrödinger-type equations with unitary evolution. It does so via the so-called warped phase transformation that maps the original equation into a Schrödinger-type equation in one higher dimension [1,2]. We show that by employing a smooth initialization of the warped phase transform [3], Schrödingerization can in fact achieve optimal scaling in matrix queries. This paper presents the detailed implementation of three smooth initializations for the Schrödingerization method: (a) the cut-off function, (b) the higher-order polynomial interpolation, and (c) the Fourier transform methods, that achieve optimality for (a) and near-optimality for (b) and (c). A detailed analysis of key parameters affecting time complexity is conducted. Copyright © 2025, The Authors. All rights reserved.

关键词： Ordinary differential equations

来源：评论

学校读者我要写书评

暂无评论

Optimal puncturing of polar codes with a fixed information set

arXiv

引用

arXiv 2019年

作者： Li, Liping Song, Wei Niu, Kai Key Laboratory of Intelligent Computing and Signal Processing Ministry of Education Anhui University China Key Laboratory of Universal Wireless Communication Ministry of Education Beijing University of Posts and Telecommunications Beijing100876 China

For a given polar code construction, the existing literature on puncturing for polar codes focuses in finding the optimal puncturing pattern, and then re-selecting the information set. This paper devotes itself to find the optimal puncturing pattern when the information set is fixed. Puncturing the coded bits corresponding to the worst quality bit channels, called the worst quality puncturing (WQP), is proposed, which is analyzed to minimize the bit channel quality loss at the punctured positions. Simulation results show that WQP outperforms the best existing puncturing schemes when the information set is fixed. Copyright © 2019, The Authors. All rights reserved.

关键词：

来源：评论

学校读者我要写书评

暂无评论

Solving Electromagnetic Scattering from Microstrip Arrays with Multiple-Traces Surface Integral Equations

Solving Electromagnetic Scattering from Microstrip Arrays wi...

引用

2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

作者： Zhao, Ran Feng, Jian Song, Kaihong Huang, Zhixiang Hu, Jun Anhui University Ministry of Education Key Laboratory of Intelligent Computing and Signal Processing China School of Electronic Engineering China

ISBN: (纸本)9781538612415

In this paper, a new multiple-traces Poggio-Miller-Chang-Harrington-Wu-Tsai (MT-PMCHWT) equation is proposed to simulate the electromagnetic scattering from microstrip structures. Different from traditional EFIE-PMCHWT method, in this new multiple-traces method, the original object can be decomposed into two independent domains i.e., the exterior region (free space) and interior region (microstrip), and Robin transmission conditions (TCs) is enforced on the interface between exterior and interior regions to ensure the continuity of fields. In comparison to the traditional EFIE-PMCHWT, this new MT-PMCHWT has a better convergence property. Because the continuity of fields is ensured by TCs, the exterior and interior regions can be discretized by non-conformal meshes, which improves the flexibility and efficiency of the proposed methods substantially. © 2018 IEEE.

关键词： Surface scattering

来源：评论

学校读者我要写书评

暂无评论

Design of New Miniaturized Broadband Bandpass Filter Based on SIR

Design of New Miniaturized Broadband Bandpass Filter Based o...

引用

Progress in Electromagnetics Research Symposium - Fall (PIERS - FALL)

作者： Kaiyue Duan Pingjuan Zhang Dongya Cheng Yawen Song Lichang Huang Minquan Li Key Laboratory of Intelligent Computing & Signal Processing Ministry of Education Anhui University Hefei China Anhui Science and Technology University Hefei China

ISBN: (数字)9781728153049

ISBN: (纸本)9781728153056

In this paper, a compact and miniaturized wideband bandpass filter based on resonant ring loading stepped impedance resonator is designed. The filter designed in this paper uses the resonant ring as the basic resonator unit. By loading the SIR, the passband width of the filter is improved. The 3 dB bandwidth of this filter is 300 MHz, and the relative fractional bandwidth is 15%. Etching a complementary open resonant ring defected ground structure (DGS) on the floor that changes the current distribution on the floor and creates a band gap with passband characteristics, making the filter compact and compact. The size of filter is 3.5 cm * 4.0 cm. The simulation results show that the filter center frequency is 2.0 GHz, the return loss is 29 dB, and the insertion loss is 1.1 dB. The filter introduces two transmission zero points of 1.3 GHz and 2.6 GHz on both sides of the passband, which improves the out-of-band rejection of the filter. The filter structure designed in this paper has the advantages of small size, wide bandwidth and strong stop band rejection, which verifies the feasibility of the filter design.

关键词： Bandwidth Broadband communication Impedance Passband Resonant frequency Microstrip Filtering theory

来源：评论

学校读者我要写书评

暂无评论

Broadband Circular Polarized Composite Spiral Antenna Using Two-layer AMC

Broadband Circular Polarized Composite Spiral Antenna Using ...

引用

Progress in Electromagnetics Research Symposium - Fall (PIERS - FALL)

作者： Yawen Song Pingjuan Zhang Yanyang Liu Kaiyue Duan Lichang Huang Minquan Li Key Laboratory of Intelligent Computing & Signal Processing Ministry of Education Anhui University Hefei China Anhui Science and Technology University Hefei China

ISBN: (数字)9781728153049

ISBN: (纸本)9781728153056

In this paper, a broadband circular polarized (CP) composite spiral antenna using two-layer artificial magnetic conductor (AMC) is designed. The broadband circularly polarized radiation of the antenna in free space is realized by combining Archimedes spiral and equiangular spiral. At the same time, a new two-layer AMC structure is designed to improve the degradation of axial ratio and bandwidth caused by unidirectional antenna radiation in some frequency bands. The two-layer AMC is designed to operate with 90° reflection-phase bandwidth of 4.3-6 GHz (33%). Three different reflector surfaces: perfect electric conductor (PEC), traditional single-layer AMC surface and two-layer AMC surface are used and compared. The axial ratio performance of the antenna loaded with two-layer AMC is significantly better than that of the traditional AMC in the band of 5-6.5 GHz. The axial ratio and bandwidth was further improved by removing the central patch on the two-layer AMC surface and adding a high dielectric substrate underneath. The simulation results show that in the 2.5-10 GHz working band, the VSWR

关键词： Spirals Broadband antennas Bandwidth Loaded antennas Periodic structures Helical antennas

来源：评论

学校读者我要写书评

暂无评论

Compact Dual-wideband Bandpass Filter Using Stub Loaded Zero-degree Feed Coupling Structure

Compact Dual-wideband Bandpass Filter Using Stub Loaded Zero...

引用

Progress in Electromagnetics Research Symposium - Fall (PIERS - FALL)

作者： Lichang Huang Pingjuan Zhang Minquan Li Yawen Song Kaiyue Duan Key Laboratory of Intelligent Computing & Signal Processing Ministry of Education Anhui University Hefei China Anhui Science And Technology University Hefei China

ISBN: (数字)9781728153049

ISBN: (纸本)9781728153056

A novel compact dual-wideband bandpass filter is proposed in this paper, by employing stub loaded ring-shape Uniform Impedance Resonator (UIR) and embed-inside T-shape resonator which contributes to reducing circuit size. Odd-even mode method can be used to analyze the resonance characteristic, since the structure is symmetrical. The stub-load UIR can produce two resonant frequencies of f odd1 and f even1 , and the T-shape resonator can also introduce two resonant frequencies of f odd2 and f even2 . By adjusting the position of odd-even mode resonant frequencies and the coupling degree between UIR and T-shape resonator, two wide passbands can be realized. In design, a pair of zero-degree feed coupling structure is utilized to generate two transmission zeroes at the lower and upper of the first passband, improving the frequency selectivity of the first. The 3 dB frequency bands range of the first passband and the second are 2.5 GHz-3.3 GHz and 5.1 GHz-6.2 GHz, and the fractional bandwidths are 29% and 19%, corresponding to center frequencies at 2.8 GHz, 5.8 GHz, respectively. Comparing with the previous works, the proposed dual-wideband bandpass filter has a compactness of 12 × 10.45 mm 2 and has lower insertion loss of 0.1 dB and 0.12 dB, corresponding to the first and the second pass-band.

关键词： Band-pass filters Resonant frequency Passband Feeds Couplings Microwave antennas Dual band

来源：评论

学校读者我要写书评

暂无评论

ON THE OPPORTUNITIES OF GREEN computing: A SURVEY

arXiv

引用

arXiv 2023年

作者： Zhou, You Lin, Xiujing Zhang, Xiang Wang, Maolin Jiang, Gangwei Lu, Huakang Wu, Yupeng Zhang, Kai Yang, Zhe Wang, Kehang Sui, Yongduo Jia, Fengwei Tang, Zuoli Zhao, Yao Zhang, Hongxuan Yang, Tiannuo Chen, Weibo Mao, Yunong Li, Yi Bao, De Li, Yu Liao, Hongrui Liu, Ting Liu, Jingwen Guo, Jinchi Zhao, Xiangyu Wei, Ying Qian, Hong Liu, Qi Wang, Xiang Chan, Wai Kin Li, Chenliang Li, Yusen Yang, Shiyu Yan, Jining Mou, Chao Han, Shuai Jin, Wuxia Zhang, Guannan Zeng, Xiaodong Tsinghua University China Shanghai Jiaotong University China University of Science and Technology of China China Key Laboratory of Aerospace Information Security and Trusted Computing Ministry of Education School of Cyber Science and Engineering Wuhan University China Huazhong University of Science and Technology China Shanghai Institute of AI for Education School of Computer Science and Technology East China Normal University China Xi’an Jiaotong University China College of Computer Science Nankai University China School of Computer Science China University of Geosciences China School of Information Science and Technology Beijing Forestry University China Engineering Research Center for Forestry-Oriented Intelligent Information Processing National Forestry and Grassland Administration China Guangzhou University China Nanyang Technological University Singapore City University of Hong Kong Hong Kong Wuhan University China State Key Laboratory for Novel Software Technology Nanjing University China Ant Group China

Artificial Intelligence (AI) has achieved significant advancements in technology and research with the development over several decades, and is widely used in many areas including computing vision, natural language processing, time-series analysis, speech synthesis, etc. During the age of deep learning, especially with the arise of Large Language Models, a large majority of researchers’ attention is paid on pursuing new state-of-the-art (SOTA) results, resulting in ever increasing of model size and computational complexity. The needs for high computing power brings higher carbon emission and undermines research fairness by preventing small or medium-sized research institutions and companies with limited funding in participating in research. To tackle the challenges of computing resources and environmental impact of AI, Green computing has become a hot research topic. In this survey, we give a systematic overview of the technologies used in Green computing. We propose the framework of Green computing and devide it into four key components: (1) Measures of Greenness, (2) Energy-Efficient AI, (3) Energy-Efficient computing Systems and (4) AI Use Cases for Sustainability. For each components, we discuss the research progress made and the commonly used techniques to optimize the AI efficiency. We conclude that this new research direction has the potential to address the conflicts between resource constraints and AI development. We encourage more researchers to put attention on this direction and make AI more environmental friendly. Copyright © 2023, The Authors. All rights reserved.

关键词： Carbon footprint

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：