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General matrix/matrix multiplication (GEMM) is crucial for scientific computing and machine learning. However, the increased scale of the computing platforms raises concerns about hardware and software reliability. In this poster, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-10 Shixun Wu , Yujia Zhai , Jiajun Huang , Zizhe Jian , Zizhong Chen

We consider here the problem of a "central spin", with spin quantum number $S \gg 1$, interacting with a set of microscopic spins. Interactions between the microscopic spins are ignored. This model describes magnetic grains or magnetic…

Condensed Matter · Physics 2016-08-31 N. V. Prokof'ev , P. C. E. Stamp

Molecular and lattice vibrations are able to couple to the spin of electrons and lead to their relaxation and decoherence. Ab initio simulations have played a fundamental role in shaping our understanding of this process but further…

Materials Science · Physics 2024-10-14 Valerio Briganti , Alessandro Lunghi

Calculating dynamical spin correlations is essential for matching model magnetic exchange Hamiltonians to momentum-resolved spectroscopic measurements. A major numerical bottleneck is the diagonalization of the dynamical matrix, especially…

Strongly Correlated Electrons · Physics 2024-11-27 Harry Lane , Hao Zhang , David Dahlbom , Sam Quinn , Rolando D. Somma , Martin Mourigal , Cristian D. Batista , Kipton Barros

A new symplectic time-reversible algorithm for numerical integration of the equations of motion in magnetic liquids is proposed. It is tested and applied to molecular dynamics simulations of a Heisenberg spin fluid. We show that the…

Soft Condensed Matter · Physics 2009-10-31 I. P. Omelyan , I. M. Mryglod , R. Folk

This paper puts forward a framework to accelerate Electromagnetic Transient (EMT) simulations by replacing individual components with trained Physics-Informed Neural Networks (PINNs). EMT simulations are considered the cornerstone of…

Analytical framework for predicting General Matrix Multiplication (GEMM) performance on modern GPUs, focusing on runtime, power consumption, and energy efficiency. Our study employs two approaches: a custom-implemented tiled matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-27 Xiaoteng , Liu , Pavly Halim

Granular materials are of critical interest to many robotic tasks in planetary science, construction, and manufacturing. However, the dynamics of granular materials are complex and often computationally very expensive to simulate. We…

Robotics · Computer Science 2023-06-05 David Millard , Daniel Pastor , Joseph Bowkett , Paul Backes , Gaurav S. Sukhatme

We employ so-called quantum kernel estimation to exploit complex quantum dynamics of solid-state nuclear magnetic resonance for machine learning. We propose to map an input to a feature space by input-dependent Hamiltonian evolution, and…

Quantum Physics · Physics 2022-03-14 Takeru Kusumoto , Kosuke Mitarai , Keisuke Fujii , Masahiro Kitagawa , Makoto Negoro

Strongly correlated quantum systems give rise to many exotic physical phenomena, including high-temperature superconductivity. Simulating these systems on quantum computers may avoid the prohibitively high computational cost incurred in…

Quantum Physics · Physics 2020-10-19 Frank Arute , Kunal Arya , Ryan Babbush , Dave Bacon , Joseph C. Bardin , Rami Barends , Andreas Bengtsson , Sergio Boixo , Michael Broughton , Bob B. Buckley , David A. Buell , Brian Burkett , Nicholas Bushnell , Yu Chen , Zijun Chen , Yu-An Chen , Ben Chiaro , Roberto Collins , Stephen J. Cotton , William Courtney , Sean Demura , Alan Derk , Andrew Dunsworth , Daniel Eppens , Thomas Eckl , Catherine Erickson , Edward Farhi , Austin Fowler , Brooks Foxen , Craig Gidney , Marissa Giustina , Rob Graff , Jonathan A. Gross , Steve Habegger , Matthew P. Harrigan , Alan Ho , Sabrina Hong , Trent Huang , William Huggins , Lev B. Ioffe , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Cody Jones , Dvir Kafri , Kostyantyn Kechedzhi , Julian Kelly , Seon Kim , Paul V. Klimov , Alexander N. Korotkov , Fedor Kostritsa , David Landhuis , Pavel Laptev , Mike Lindmark , Erik Lucero , Michael Marthaler , Orion Martin , John M. Martinis , Anika Marusczyk , Sam McArdle , Jarrod R. McClean , Trevor McCourt , Matt McEwen , Anthony Megrant , Carlos Mejuto-Zaera , Xiao Mi , Masoud Mohseni , Wojciech Mruczkiewicz , Josh Mutus , Ofer Naaman , Matthew Neeley , Charles Neill , Hartmut Neven , Michael Newman , Murphy Yuezhen Niu , Thomas E. O'Brien , Eric Ostby , Bálint Pató , Andre Petukhov , Harald Putterman , Chris Quintana , Jan-Michael Reiner , Pedram Roushan , Nicholas C. Rubin , Daniel Sank , Kevin J. Satzinger , Vadim Smelyanskiy , Doug Strain , Kevin J. Sung , Peter Schmitteckert , Marco Szalay , Norm M. Tubman , Amit Vainsencher , Theodore White , Nicolas Vogt , Z. Jamie Yao , Ping Yeh , Adam Zalcman , Sebastian Zanker

Atomistic spin dynamics (ASD) is a standard tool to model the magnetization dynamics of a variety of materials. The fundamental dynamical model underlying ASD is entirely classical. In this paper, we present two approaches to effectively…

Materials Science · Physics 2024-07-01 Marco Berritta , Stefano Scali , Federico Cerisola , Janet Anders

A parallel implementation of coupled spin-lattice dynamics in the LAMMPS molecular dynamics package is presented. The equations of motion for both spin only and coupled spin-lattice dynamics are first reviewed, including a detailed account…

Statistical Mechanics · Physics 2018-08-01 J. Tranchida , S. J. Plimpton , P. Thibaudeau , A. P. Thompson

Kohn-Sham spin-density functional theory provides an efficient and accurate model to study electron-electron interaction effects in quantum dots, but its application to large systems is a challenge. An efficient algorithm for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang

Here, we propose a novel method for representation of general spin systems using Restricted Boltzmann Machine with Softmax Regression (SRBM) that follows the probability distribution of the training data. SRBM training is performed using…

Disordered Systems and Neural Networks · Physics 2023-04-25 Abhiroop Lahiri , Shazia Janwari , Swapan K Pati

The application of quantum algorithms to the study of many-particle quantum systems requires the ability to prepare wavefunctions that are relevant in the behavior of the system under study. Hamiltonian symmetries are an important…

Quantum Physics · Physics 2022-03-22 Alessandro Carbone , Davide Emilio Galli , Mario Motta , Barbara Jones

We survey recent work on designing and evaluating quantum computing implementations based on nuclear or bound-electron spins in semiconductor heterostructures at low temperatures and in high magnetic fields. General overview is followed by…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 Vladimir Privman , Dima Mozyrsky , Israel D. Vagner

Large-scale simulations of the spin dynamics in quantum dots subjected to trains of periodic laser pulses enable us to describe and understand related experiments. By comparing the data for different models to experimental results, we gain…

Mesoscale and Nanoscale Physics · Physics 2022-01-10 Philipp Schering , Philipp W. Scherer , Götz S. Uhrig

Digital quantum computers have the potential to simulate complex quantum systems. The spin-boson model is one of such systems, used in disparate physical domains. Importantly, in a number of setups, the spin-boson model is open, i.e. the…

Quantum Physics · Physics 2022-12-21 Andreas Burger , Leong Chuan Kwek , Dario Poletti

There is a growing interest in custom spatial accelerators for machine learning applications. These accelerators employ a spatial array of processing elements (PEs) interacting via custom buffer hierarchies and networks-on-chip. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-22 Gordon E. Moon , Hyoukjun Kwon , Geonhwa Jeong , Prasanth Chatarasi , Sivasankaran Rajamanickam , Tushar Krishna

We present a practical semiclassical method for computing the electron spin dynamics of a radical in which the electron spin is hyperfine coupled to a large number of nuclear spins. This can be used to calculate the singlet and triplet…

Chemical Physics · Physics 2014-07-09 David E. Manolopoulos , P. J. Hore