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We accelerate many-flavor lattice QCD simulations using multiple GPUs. Multiple pseudo-fermion fields are introduced additively and independently for each flavor in the many-flavor HMC algorithm. Using the independence of each…

High Energy Physics - Lattice · Physics 2011-01-27 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , S. Uno , N. Yamada

QCDOC is a massively parallel supercomputer whose processing nodes are based on an application-specific integrated circuit (ASIC). This ASIC was custom-designed so that crucial lattice QCD kernels achieve an overall sustained performance of…

In this paper, we consider the computational protein design (CPD) problem, which is usually modeled as a 0/1 programming and is extremely challenging due to its combinatorial properties. We propose an efficient algorithm for solving it.…

Optimization and Control · Mathematics 2024-12-30 Yukai Zheng , Weikun Chen , Qingna Li

Quantum Layout Synthesis (QLS) is a critical compilation stage that adapts quantum circuits to hardware constraints with an objective of minimizing the SWAP overhead. While heuristic tools demonstrate good efficiency, they often produce…

Quantum Physics · Physics 2025-06-02 Shuohao Ping , Naren Sathishkumar , Wan-Hsuan Lin , Hanyu Wang , Jason Cong

Transformer inference requires high compute accuracy; achieving this using analog CIMs has been difficult due to inherent computational errors. To overcome this challenge, we propose a Capacitor-Reconfiguring CIM (CR-CIM) to realize high…

Hardware Architecture · Computer Science 2023-02-14 Kentaro Yoshioka

Three block encoding methods are evaluated for solving linear systems of equations using QSVT (Quantum Singular Value Transformation). These are ARCSIN, FABLE and PREPARE-SELECT. The performance of the encoders is evaluated using a suite of…

Quantum Physics · Physics 2024-02-28 Leigh Lapworth

The L-CSC (Lattice Computer for Scientific Computing) is a general purpose compute cluster built of commodity hardware installed at GSI. Its main operational purpose is Lattice QCD (LQCD) calculations for physics simulations. Quantum Chromo…

Performance · Computer Science 2017-12-29 D. Rohr , G. Neskovic , M. Radtke , V. Lindenstruth

The accuracy and complexity of machine learning algorithms based on kernel optimization are determined by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

Machine Learning · Statistics 2024-10-30 Aleksandr Talitckii , Brendon K. Colbert , Matthew M. Peet

Quantum centric supercomputing (QCSC) framework, such as sample-based quantum diagonalization (SQD) holds immense promise toward achieving practical quantum utility to solve challenging problems. QCSC leverages quantum computers to perform…

Rapid development in quantum computing leads to the appearance of several quantum applications. Quantum Fourier Transformation (QFT) sits at the heart of many of these applications. Existing work leverages SAT solver or heuristics to…

Quantum Physics · Physics 2024-08-22 Yuwei Jin , Xiangyu Gao , Minghao Guo , Henry Chen , Fei Hua , Chi Zhang , Eddy Z. Zhang

Indirect CP violation in K \rightarrow {\pi}{\pi} decays plays a central role in constraining the flavor structure of the Standard Model (SM) and in the search for new physics. For many years the leading uncertainty in the SM prediction of…

High Energy Physics - Lattice · Physics 2011-11-10 S. Durr , Z. Fodor , C. Hoelbling , S. D. Katz , S. Krieg , T. Kurth , L. Lellouch , T. Lippert , C. McNeile , A. Portelli , K. K. Szabo

Efficient algorithms for the solution of partial differential equations on parallel computers are often based on domain decomposition methods. Schwarz preconditioners combined with standard Krylov space solvers are widely used in this…

High Energy Physics - Lattice · Physics 2009-11-10 Martin Lüscher

Semidefinite programming (SDP) is a powerful tool for tackling a wide range of computationally hard problems such as clustering. Despite the high accuracy, semidefinite programs are often too slow in practice with poor scalability on large…

Machine Learning · Statistics 2022-02-10 Yubo Zhuang , Xiaohui Chen , Yun Yang

We explore a scaled spectral preconditioner for the efficient solution of sequences of symmetric and positive-definite linear systems. We design the scaled preconditioner not only as an approximation of the inverse of the linear system but…

Numerical Analysis · Mathematics 2024-10-04 Youssef Diouane , Selime Gürol , Oussama Mouhtal , Dominique Orban

We investigate implementation of lattice Quantum Chromodynamics (QCD) code on the Intel AVX-512 architecture. The most time consuming part of the numerical simulations of lattice QCD is a solver of linear equation for a large sparse matrix…

High Energy Physics - Lattice · Physics 2018-11-05 Issaku Kanamori , Hideo Matsufuru

The SPIKE family of linear system solvers provides parallelism using a block tridiagonal partitioning. Typically SPIKE-based solvers are applied to banded systems, resulting in structured off-diagonal blocks with non-zeros elements…

Numerical Analysis · Mathematics 2025-04-16 Braegan S. Spring , Eric Polizzi , Ahmed H. Sameh

We develop a general framework for finding approximately-optimal preconditioners for solving linear systems. Leveraging this framework we obtain improved runtimes for fundamental preconditioning and linear system solving problems including…

Data Structures and Algorithms · Computer Science 2023-10-30 Arun Jambulapati , Jerry Li , Christopher Musco , Kirankumar Shiragur , Aaron Sidford , Kevin Tian

This paper studies a fundamental problem in convex optimization, which is to solve semidefinite programming (SDP) with high accuracy. This paper follows from the existing robust SDP-based interior point method analysis due to [Huang, Jiang,…

Quantum Physics · Physics 2023-02-08 Baihe Huang , Shunhua Jiang , Zhao Song , Runzhou Tao , Ruizhe Zhang

Security-Constrained Unit Commitment (SCUC) is a fundamental problem in power systems and electricity markets. In practical settings, SCUC is repeatedly solved via Mixed-Integer Linear Programming, sometimes multiple times per day, with…

Optimization and Control · Mathematics 2019-12-19 Alinson S. Xavier , Feng Qiu , Shabbir Ahmed

We report an implementation of a multigrid solver for the Clover fermion on supercomputer Fugaku, which uses A64FX CPU with Arm architecture. On Fugaku, a highly optimized implementation of BiCGStab solver with domain decomposed…

High Energy Physics - Lattice · Physics 2021-12-02 Ken-Ichi Ishikawa , Issaku Kanamori , Hideo Matsufuru