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This paper develops a distributed variational quantum algorithm for solving large-scale linear equations. For a linear system of the form $Ax=b$, the large square matrix $A$ is partitioned into smaller square block submatrices, each of…

量子物理 · 物理学 2026-04-03 Tong Shen , Zeru Zhu , Ji Liu

Experimental groups are now fabricating quantum processors powerful enough to execute small instances of quantum algorithms and definitively demonstrate quantum error correction that extends the lifetime of quantum data, adding urgency to…

量子物理 · 物理学 2016-09-23 Rodney Van Meter , Simon J. Devitt

Motivated by applications in machine learning and statistics, we study distributed optimization problems over a network of processors, where the goal is to optimize a global objective composed of a sum of local functions. In these problems,…

最优化与控制 · 数学 2019-05-14 Thinh T. Doan , Carolyn L. Beck , R. Srikant

Present quantum computers are constrained by limited qubit capacity and restricted physical connectivity, leading to challenges in large-scale quantum computations. Distributing quantum computations across a network of quantum computers is…

量子物理 · 物理学 2024-05-14 Ranjani G Sundaram , Himanshu Gupta , C. R. Ramakrishnan

Distributed computing excels at processing large scale data, but the communication cost for synchronizing the shared parameters may slow down the overall performance. Fortunately, the interactions between parameter and data in many problems…

分布式、并行与集群计算 · 计算机科学 2015-05-19 Mu Li , Dave G. Andersen , Alexander J. Smola

To enhance solution accuracy and training efficiency in neural network approximation to partial differential equations, partitioned neural networks can be used as a solution surrogate instead of a single large and deep neural network…

数值分析 · 数学 2023-08-17 Hee Jun Yang , Hyea Hyun Kim

We address the joint problem of learning and scheduling in multi-hop wireless network without a prior knowledge on link rates. Previous scheduling algorithms need the link rate information, and learning algorithms often require a…

网络与互联网体系结构 · 计算机科学 2023-12-11 Daehyun Park , Sunjung Kang , Changhee Joo

We propose a Jacobi-style distributed algorithm to solve convex, quadratically constrained quadratic programs (QCQPs), which arise from a broad range of applications. While small to medium-sized convex QCQPs can be solved efficiently by…

最优化与控制 · 数学 2021-10-15 Run Chen , Andrew L. Liu

The current computer architecture has moved towards the multi/many-core structure. However, the algorithms in the current sequential dense numerical linear algebra libraries (e.g. LAPACK) do not parallelize well on multi/many-core…

数值分析 · 计算机科学 2013-03-14 Henricus Bouwmeester

Quantum computers are designed to outperform standard computers by running quantum algorithms. Areas in which quantum algorithms can be applied include cryptography, search and optimisation, simulation of quantum systems, and solving large…

量子物理 · 物理学 2016-02-24 Ashley Montanaro

Multiple-precision floating-point branch-free algorithms can significantly accelerate multi-component arithmetic implemented by combining hardware-based binary64 and binary32, particularly for triple- and quadruple-precision computations.…

数学软件 · 计算机科学 2026-05-08 Tomonori Kouya

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

最优化与控制 · 数学 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

Commercially impactful quantum algorithms such as quantum chemistry and Shor's algorithm require a number of qubits and gates far beyond the capacity of any existing quantum processor. Distributed architectures, which scale horizontally by…

We consider algorithmic problems in the setting in which the input data has been partitioned arbitrarily on many servers. The goal is to compute a function of all the data, and the bottleneck is the communication used by the algorithm. We…

数据结构与算法 · 计算机科学 2014-07-01 Ravindran Kannan , Santosh Vempala , David Woodruff

The advances in data, computing and networking over the last two decades led to a shift in many application domains that includes machine learning on big data as a part of the scientific process, requiring new capabilities for integrated…

分布式、并行与集群计算 · 计算机科学 2019-03-19 Ilkay Altintas , Kyle Marcus , Isaac Nealey , Scott L. Sellars , John Graham , Dima Mishin , Joel Polizzi , Daniel Crawl , Thomas DeFanti , Larry Smarr

Applied research in graph algorithms and combinatorial structures needs comprehensive and versatile software libraries. However, the design and the implementation of flexible libraries are challenging activities. Among the other problems…

软件工程 · 计算机科学 2007-05-23 Maurizio Pizzonia , Giuseppe Di Battista

We propose a novel decomposition framework for the distributed optimization of Difference Convex (DC)-type nonseparable sum-utility functions subject to coupling convex constraints. A major contribution of the paper is to develop for the…

信息论 · 计算机科学 2013-09-23 Alberth Alvarado , Gesualdo Scutari , Jong-Shi Pang

The main deficiency of the algorithms running on digital computers nowadays is their inability to change themselves during the execution. In line with this, the paper introduces the so-called replicated algorithms, inspired by the concept…

神经与进化计算 · 计算机科学 2023-04-27 Iztok Fister , Iztok Fister

An approach for incorporating embedded simulation and analysis capabilities in complex simulation codes through template-based generic programming is presented. This approach relies on templating and operator overloading within the C++…

数学软件 · 计算机科学 2012-05-17 Roger P. Pawlowski , Eric T. Phipps , Andrew G. Salinger

An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

斑图形成与孤子 · 物理学 2009-11-07 P. M. Lushnikov