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We present a highly optimized implementation of a Monte Carlo (MC) simulator for the three-dimensional Ising spin-glass model with bimodal disorder, i.e., the 3D Edwards-Anderson model running on CUDA enabled GPUs. Multi-GPU systems…

Disordered Systems and Neural Networks · Physics 2016-05-04 Matteo Lulli , Massimo Bernaschi , Giorgio Parisi

Monte Carlo simulations of the Ising model play an important role in the field of computational statistical physics, and they have revealed many properties of the model over the past few decades. However, the effect of frustration due to…

Disordered Systems and Neural Networks · Physics 2017-01-04 Ye Fang , Sheng Feng , Ka-Ming Tam , Zhifeng Yun , Juana Moreno , J. Ramanujam , Mark Jarrell

A modern graphics processing unit (GPU) is able to perform massively parallel scientific computations at low cost. We extend our implementation of the checkerboard algorithm for the two dimensional Ising model [T. Preis et al., J. Comp.…

Computational Physics · Physics 2010-07-22 Benjamin Block , Peter Virnau , Tobias Preis

We develop a highly optimized code for simulating the Edwards-Anderson Heisenberg model on graphics processing units (GPUs). Using a number of computational tricks such as tiling, data compression and appropriate memory layouts, the…

Computational Physics · Physics 2012-08-30 Taras Yavors'kii , Martin Weigel

Lattice spin models are useful for studying critical phenomena and allow the extraction of equilibrium and dynamical properties. Simulations of such systems are usually based on Monte Carlo (MC) techniques, and the main difficulty is often…

Computational Physics · Physics 2012-09-13 Tal Levy , Guy Cohen , Eran Rabani

We present a parallel machine, based on programmable devices, dedicated to simulate spin glass models with Z2 variables and short range interaction. A working prototype is described for two lattices containing 312x312 spins each with an…

High Energy Physics - Lattice · Physics 2009-10-28 J. Pech , A. Tarancon , C. L. Ullod

Many-particle continuous-time quantum walks (CTQWs) represent a resource for several tasks in quantum technology, including quantum search algorithms and universal quantum computation. In order to design and implement CTQWs in a realistic…

Quantum Physics · Physics 2017-10-02 Enrico Piccinini , Claudia Benedetti , Ilaria Siloi , Matteo G. A. Paris , Paolo Bordone

The high-performance scalable parallel algorithm for rigorous calculation of partition function of lattice systems with finite number Ising spins was developed. The parallel calculations run by C++ code with using of Message Passing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-21 Alexey A. Peretyatko , Ivan A. Bogatyrev , Vitaliy Yu. Kapitan , Yury V. Kirienko , Konstantin V. Nefedev , Valery I. Belokon

We implemented a GPU based parallel code to perform Monte Carlo simulations of the two dimensional q-state Potts model. The algorithm is based on a checkerboard update scheme and assigns independent random numbers generators to each thread.…

Statistical Mechanics · Physics 2012-03-12 Ezequiel E. Ferrero , Juan Pablo De Francesco , Nicolás Wolovick , Sergio A. Cannas

Adiabatic quantum computers, such as the quantum annealers commercialized by D-Wave Systems Inc., are routinely used to tackle combinatorial optimization problems. In this article, we show how to exploit them to accelerate equilibrium…

Disordered Systems and Neural Networks · Physics 2023-07-12 Giuseppe Scriva , Emanuele Costa , Benjamin McNaughton , Sebastiano Pilati

The resolution of dynamics in out of equilibrium quantum spin systems lies at the heart of fundamental questions among Quantum Information Processing, Statistical Mechanics and Nano-Technologies. Efficient computational simulations of…

Computational Physics · Physics 2013-12-09 Axel D. Dente , Carlos S. Bederián , Pablo R. Zangara , Horacio M. Pastawski

We consider the implementation of a parallel Monte Carlo code for high-performance simulations on PC clusters with MPI. We carry out tests of speedup and efficiency. The code is used for numerical simulations of pure SU(2) lattice gauge…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri , Tereza Mendes , Gonzalo Travieso , Andre R. Taurines

Markov Chain Monte Carlo (MCMC) underlies both statistical physics and combinatorial optimization, but mixes slowly near critical points and in rough landscapes. Parallel Tempering (PT) improves mixing by swapping replicas across…

Machine Learning · Computer Science 2025-09-30 Saleh Bunaiyan , Corentin Delacour , Shuvro Chowdhury , Kyle Lee , Kerem Y. Camsari

The simulation of the two-dimensional Ising model is used as a benchmark to show the computational capabilities of Graphic Processing Units (GPUs). The rich programming environment now available on GPUs and flexible hardware capabilities…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-26 Joshua Romero , Mauro Bisson , Massimiliano Fatica , Massimo Bernaschi

Graphics Processing Units (GPUs) are having a transformational effect on numerical lattice quantum chromodynamics (LQCD) calculations of importance in nuclear and particle physics. The QUDA library provides a package of mixed precision…

High Energy Physics - Lattice · Physics 2010-12-06 Ronald Babich , Michael A. Clark , Bálint Joó

In this paper, we present a parallel algorithm for Monte Carlo simulation of the 2D Ising Model to perform efficiently on a cluster computer using MPI. We use C++ programming language to implement the algorithm. In our algorithm, every…

Computational Physics · Physics 2018-11-13 Dariush Hassani , Shahnoosh Rafibakhsh

We present a massive equilibrium simulation of the three-dimensional Ising spin glass at low temperatures. The Janus special-purpose computer has allowed us to equilibrate, using parallel tempering, L=32 lattices down to T=0.64 Tc. We…

The use of last generation Programmable Electronic Components makes possible the construction of very powerful and competitive special purpose computers. We have designed, constructed and tested a three-dimensional Spin Glass model…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Cruz , J. Pech , A. Tarancon , P. Tellez , C. L. Ullod , C. Ungil

We present several efficient implementations of the simulated annealing algorithm for Ising spin glasses on sparse graphs. In particular, we provide a generic code for any choice of couplings, an optimized code for bipartite graphs, and…

Disordered Systems and Neural Networks · Physics 2015-09-25 S. V. Isakov , I. N. Zintchenko , T. F. Rønnow , M. Troyer

Numerical simulations of models and theories that describe complex systems such as spin glasses are becoming increasingly important. Beyond fundamental research, these computational methods also find practical applications in fields like…

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