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We use the Gaussian Phase-Space Representation to solve the real-time dynamic of interacting fermions in 1D, 2D, and 3D systems. The method is exact up to a spiking point, which represents a limit on the practical simulation time. The…

Mathematical Physics · Physics 2025-12-02 F Rousse , M Fasi , A Dmytryshyn , M Gulliksson , J F Corney , M Ogren

A new parallel algorithm for simulating Ising spin systems is presented. The sequential prototype is the n-fold way algorithm cite{BKL75}, which is efficient but is hard to parallelize using conservative methods. Our parallel algorithm is…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Boris Lubachevsky , Alan Weiss

Efficient simulation of the timing jitter in passively mode-locking lasers is key to their numerical investigation and optimization. We introduce a method based on the pulse-period fluctuation auto-correlation function and compare it…

Optics · Physics 2024-02-22 Stefan Meinecke , Kathy Lüdge

In this paper we present a method to generate independent samples for a general random variable, either continuous or discrete. The algorithm is an extension of the acceptance-rejection method, and it is particularly useful for kinetic…

Numerical Analysis · Mathematics 2016-08-24 Farzin Barekat , Russel Caflisch

In this paper a decentralized control algorithm for systems composed of $N$ dynamically decoupled agents, coupled by feasibility constraints, is presented. The control problem is divided into $N$ optimal control sub-problems and a…

Multiagent Systems · Computer Science 2017-02-28 Ugo Rosolia , Francesco Braghin , Andrew G. Alleyne , Stijn De Bruyne , Edoardo Sabbioni

Smearing the gauge links of dynamical configurations removes small scale unphysical vacuum fluctuations und thus improves the chiral properties of lattice fermions. We present a new algorithm for the simulation of dynamical fermions coupled…

High Energy Physics - Lattice · Physics 2015-06-25 A. Hasenfratz , F. Knechtli

We address the question of how a quantum computer can be used to simulate experiments on quantum systems in thermal equilibrium. We present two approaches for the preparation of the equilibrium state on a quantum computer. For both…

Quantum Physics · Physics 2009-10-31 Barbara M. Terhal , David P. DiVincenzo

We present the APE (Array Processor Experiment) project for the development of dedicated parallel computers for numerical simulations in lattice gauge theories. While APEmille is a production machine in today's physics simulations at…

When approaching the continuum limit in lattice QCD or other theories in a setup with topological sectors, conventional update algorithms experience a particularly severe form of critical slowing down that is caused by high action barriers…

High Energy Physics - Lattice · Physics 2025-03-28 Timo Eichhorn , Gianluca Fuwa , Christian Hoelbling , Lukas Varnhorst

We present a simulation algorithm for dynamical fermions that combines the multiboson technique with the Hybrid Monte Carlo algorithm. We find that the algorithm gives a substantial gain over the standard methods in practical simulations.…

High Energy Physics - Lattice · Physics 2009-10-30 Roberto Frezzotti , Karl Jansen

Polynomial approximations to the inverse of the fermion matrix are used to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration scheme allows the filtered pseudofermions to be…

High Energy Physics - Lattice · Physics 2015-05-28 Waseem Kamleh , Mike Peardon

In this paper we consider the problem of coordinating autonomous vehicles approaching an intersection. We cast the problem in the distributed optimisation framework and propose an algorithm to solve it in real time. We extend previous work…

Optimization and Control · Mathematics 2017-04-05 Mario Zanon , Robert Hult , Sebastien Gros , Paolo Falcone

Digital quantum simulation of fermionic systems is important in the context of chemistry and physics. Simulating fermionic models on general purpose quantum computers requires imposing a fermionic algebra on spins. The previously studied…

Quantum Physics · Physics 2016-09-21 James D. Whitfield , Vojtěch Havlíček , Matthias Troyer

We investigate the performance and accuracy of digital quantum algorithms for the study of static and dynamic properties of the fermionic Hubbard model at half-filling with next-nearest neighbour hopping terms. We provide quantum circuits…

Strict linear feasibility or linear separation is usually tackled using efficient approximation/stochastic algorithms (that may even run in sub-linear times in expectation). However, today state of the art for solving…

Data Structures and Algorithms · Computer Science 2026-02-17 Adrien Chan-Hon-Tong

The momentum dependence of the quark self energy gives a physically motivated and consistent regularization of both the real and imaginary parts of the quark loop contribution to the meson action. We show that the amplitudes for anomalous…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Ball , G. Ripka

How do cellular automata behave in the limit of a very large number of cells? Is there a continuum limit with simple properties? We attack this problem by mapping certain classes of automata to quantum field theories for which powerful…

Cellular Automata and Lattice Gases · Physics 2022-12-08 C. Wetterich

This paper summarizes a quantum algorithm of [R.D. Somma, et.al., Phys. Rev. Lett. 101, 130504 (2008)] that simulates a classical annealing process for solving discrete optimization problems. The complexity of the quantum algorithm scales…

Quantum Physics · Physics 2015-12-16 Sergio Boixo , Rolando D. Somma

The fermionic quantum emulator (FQE) is a collection of protocols for emulating quantum dynamics of fermions efficiently taking advantage of common symmetries present in chemical, materials, and condensed-matter systems. The library is…

A new algorithm for simulation of theories with dynamical fermions is presented. The algorithm is based on obtaining the new configuration U' from the old one U by solving the equation M(U')\eta= \omega M(U)\eta, where M is fermionic…

High Energy Physics - Lattice · Physics 2007-05-23 T. Bakeyev
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