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Lattice reduction (LR) is a preprocessing technique for multiple-input multiple-output (MIMO) symbol detection to achieve better bit error-rate (BER) performance. In this paper, we propose a customized homogeneous multiprocessor for LR. The…

Information Theory · Computer Science 2015-01-21 Shahriar Shahabuddin , Janne Janhunen , Amanullah Ghazi , Zaheer Khan , Markku Juntti

In this paper, we explore the relationship between the width of a qubit lattice constrained in one dimension and physical thresholds for scalable, fault-tolerant quantum computation. To circumvent the traditionally low thresholds of small…

Quantum Physics · Physics 2022-12-15 Alexis T. E. Shaw , Michael J. Bremner , Alexandru Paler , Daniel Herr , Simon J. Devitt

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in both scientific computing and emerging graph learning workloads. The recent Armv9 architecture introduces Scalable Matrix Extension (SME), enabling tile-based matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Kelun Lei , Hailong Yang , Kaige Zhang , Kejie Ma , Yiqing Wang , Xin You , Yufan Xu , Enrique S. Quintana-Orti , Zhongzhi Luan , Yi Liu , Depei Qian

We present the results of an effort to accelerate a Rational Hybrid Monte Carlo (RHMC) program for lattice quantum chromodynamics (QCD) simulation for 2 flavours of staggered fermions on multiple Kepler K20X GPUs distributed on different…

High Energy Physics - Lattice · Physics 2018-05-08 Sourendu Gupta , Pushan Majumdar

APEmille is a SIMD parallel processor under development at the Italian National Institute for Nuclear Physics (INFN). APEmille is very well suited for Lattice QCD applications, both for its hardware characteristics and for its software and…

High Energy Physics - Lattice · Physics 2009-10-28 Emanuele Panizzi

By (a) using an expression for the LATTICE potential of QCD in terms of a CONTINUUM running coupling and (b) globally parameterizing this coupling to interpolate between 2- (or higher-) loop QCD in the UV and the flux tube prediction in the…

High Energy Physics - Lattice · Physics 2009-10-28 Timothy R. Klassen

Continuing our investigations of quenched QCD with improved fermions we have started simulations for lattice size 32^3 x 64 at beta=6.2. We present first results for light hadron masses at kappa=0.13520, 0.13540, and 0.13555. Moreover we…

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , V. Linke , H. Perlt , D. Pleiter , P. Rakow , G. S chierholz , A. Schiller , P. Stephenson , H. Stueben

We present an update of BQCD, our Hybrid Monte Carlo program for simulating lattice QCD. BQCD is one of the main production codes of the QCDSF collaboration and is used by CSSM and in some Japanese finite temperature and finite density…

High Energy Physics - Lattice · Physics 2018-04-18 Taylor Ryan Haar , Yoshifumi Nakamura , Hinnerk Stüben

Recent work have shown that the quantization for matrix multiplication problem can be optimally solved by quantizing each column in each matrix using a nested lattice code, and then multiplying the de-quantized matrices. It was further…

Information Theory · Computer Science 2025-05-20 Iris Kaplan , Or Ordentlich

This paper introduces QCDLAB, a design and research tool for lattice QCD algorithms. The tool, a collection of MATLAB functions, is based on a ``small-code'' and a ``minutes-run-time'' algorithmic design philosophy. The present version uses…

High Energy Physics - Lattice · Physics 2007-05-23 Artan Borici

Magnetic reconnection preferentially takes place at the intersection of two separatrices or two quasi-separatrix layers, which can be quantified by the squashing factor Q, whose calculation is computationally expensive due to the need to…

Solar and Stellar Astrophysics · Physics 2022-09-28 Peijin Zhang , Jun Chen , Rui Liu , Chuanbing Wang

Quantum error correction will be a necessary component towards realizing scalable quantum computers with physical qubits. Theoretically, it is possible to perform arbitrarily long computations if the error rate is below a threshold value.…

We investigate implementation of lattice Quantum Chromodynamics (QCD) code on the Intel Xeon Phi Knights Landing (KNL). The most time consuming part of the numerical simulations of lattice QCD is a solver of linear equation for a large…

High Energy Physics - Lattice · Physics 2017-12-06 Issaku Kanamori , Hideo Matsufuru

Quantum error correction is needed for quantum computers to be capable of fault-tolerantly executing algorithms using hundreds of logical qubits. Recent experiments have demonstrated subthreshold error rates for state preservation of a…

Although reliable long precision floating-point arithmetic libraries such as QD and MPFR/GMP are necessary to solve ill-conditioned problems in numerical simulation, long precision BLAS-level computation such as matrix multiplication has…

Mathematical Software · Computer Science 2017-10-06 Tomonori Kouya

We implement lattice QCD using the Fortran 90 language. We have designed machine independent modules that define fields (gauge, fermions, scalars, etc...) and have defined overloaded operators for all possible operations between fields,…

High Energy Physics - Lattice · Physics 2009-10-28 I. Dasgupta , A. R. Levi , V. Lubicz , C. Rebbi

Lattice QCD calculations were one of the first applications to show the potential of GPUs in the area of high performance computing. Our interest is to find ways to effectively use GPUs for lattice calculations using the overlap operator.…

High Energy Physics - Lattice · Physics 2011-06-27 Andrei Alexandru , Michael Lujan , Craig Pelissier , Ben Gamari , Frank X. Lee

We discuss the CUDA approach to the simulation of pure gauge Lattice SU(2). CUDA is a hardware and software architecture developed by NVIDIA for computing on the GPU. We present an analysis and performance comparison between the GPU and CPU…

High Energy Physics - Lattice · Physics 2011-01-27 Nuno Cardoso , Pedro Bicudo

We give an overview of the QPACE project, which is pursuing the development of a massively parallel, scalable supercomputer for LQCD. The machine is a three-dimensional torus of identical processing nodes, based on the PowerXCell 8i…

We investigate high density state of SU(2) QCD by using Lattice QCD simulation with Wilson fermions. The ratio of fermion determinants is evaluated at each step of the Metropol is link update by Woodbury formula. At $\beta=0.7$, and $\kappa…

Nuclear Theory · Physics 2007-05-23 S. Muroya , A. Nakamura , C. Nonaka