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Tasks such as social network analysis, human behavior recognition, or modeling biochemical reactions, can be solved elegantly by using the probabilistic inference framework. However, standard probabilistic inference algorithms work at a…

Artificial Intelligence · Computer Science 2018-12-11 Stefan Lüdtke , Max Schröder , Frank Krüger , Sebastian Bader , Thomas Kirste

A bivariate version of the multicanonical Monte Carlo method and its application to the simulation of the three-dimensional $\pm J$ Ising spin glass are described. We found the autocorrelation time associated with this particular…

Disordered Systems and Neural Networks · Physics 2009-09-25 Naomichi Hatano , James E. Gubernatis

Classical ground states (global energy-minimizing configurations) of many-particle systems are typically unique crystalline structures, implying zero enumeration entropy of distinct patterns (aside from trivial symmetry operations). By…

Statistical Mechanics · Physics 2017-10-23 G. Zhang , F. H. Stillinger , S. Torquato

Ising formulations are widely utilized to solve combinatorial optimization problems, and a variety of quantum or semiconductor-based hardware has recently been made available. In combinatorial optimization problems, the existence of local…

Applied Physics · Physics 2024-03-15 Yoshiki Sato , Makiko Konoshima , Hirotaka Tamura , Jun Ohkubo

Understanding extreme non-locality in many-body quantum systems can help resolve questions in thermostatistics and laser physics. The existence of symmetry selection rules for Hamiltonians with non-decaying terms on infinite-size lattices…

Strongly Correlated Electrons · Physics 2020-06-01 S. N. Saadatmand

We present a novel approach for finding and evaluating structural models of small metallic nanoparticles. Rather than fitting a single model with many degrees of freedom, the approach algorithmically builds libraries of nanoparticle…

The cluster state, the highly entangled state that is the central resource for one-way quantum computing, can be efficiently generated in a variety of physical implementations via global nearest-neighbor interactions. In practice, a…

Quantum Physics · Physics 2008-03-10 Michael C. Garrett , David L. Feder

Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and…

Disordered Systems and Neural Networks · Physics 2015-05-20 Creighton K. Thomas , David A. Huse , A. Alan Middleton

It is essential to know the arrangement of the atoms in a material in order to compute and understand its properties. Searching for stable structures of materials using first-principles electronic structure methods, such as density…

Materials Science · Physics 2015-03-17 Chris J. Pickard , R. J. Needs

Cluster analysis is a widely applied machine learning technique to understand the existing patterns in the population of gamma-ray bursts (GRBs), in order to explore their physical sources. In the present scenario, the number of clusters…

High Energy Astrophysical Phenomena · Physics 2026-05-29 Soumita Modak

We propose and implement a novel hybrid meta-heuristic optimization algorithm for the identification of non-collinear global ground-states in magnetic systems. The inputs to this optimization scheme are directly from non-collinear density…

Materials Science · Physics 2023-10-03 Guy C. Moore , Matthew K. Horton , Kristin A. Persson

We propose a new method to compute the configurational entropy of glassy systems as a function of the free energy of valleys at a given temperature, in the framework of the Stillinger and Weber approach. In this method, which we call…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. Coluzzi , A. Crisanti , E. Marinari , F. Ritort , A. Rocco

Metastable states in Ising spin-glass models are studied by finding iterative solutions of mean-field equations for the local magnetizations. Two different equations are studied: the TAP equations which are exact for the SK model, and the…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Aspelmeier , R. A. Blythe , A. J. Bray , M. A. Moore

We study the behavior of droplets for two dimensional Ising spin glasses with Gaussian interactions. We use an exact matching algorithm which enables study of systems with linear dimension L up to 240, which is larger than is possible with…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. K. Hartmann , M. A. Moore

We first show how a new definition of entropy, which is intuitively very simple, as a divergence in cluster-size space, leads to a generalized form that is nonextensive for correlated units, but coincides exactly with the conventional one…

Disordered Systems and Neural Networks · Physics 2007-11-20 Fariel Shafee

An analysis on the damped quantum search by exploring the rate at which the target state is obtained. The results were compared with that of the classical search since the standard Grover's algorithm does not give a convergent result if the…

Quantum Physics · Physics 2012-08-29 Neris Ilano , Cristine Villagonzalo , Ronald Banzon

We investigate the entanglement properties of a finite size 1+1 dimensional Ising spin chain, and show how these properties scale and can be utilized to reconstruct the ground state wave function. Even at the critical point, few terms in a…

Quantum Physics · Physics 2007-05-23 Stein Olav Skrøvseth

Crystal structure prediction has traditionally relied on prototype-based seeding, approaches that often bias sampling toward known low-energy basins and overlook metastable polymorphs with unconventional symmetries. Here, we introduce…

Materials Science · Physics 2026-04-24 Jiexi Song , Diwei Shi , Aixian She , Chongde Cao , Fengyuan Xuan

We numerically address the issue of how the ground state topology is reflected in the finite temperature dynamics of the $\pm J$ Edwards-Anderson spin glass model. In this system a careful study of the ground state configurations allows to…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Romá , S. Bustingorry , P. M. Gleiser

We compute and analyze couples of ground states of 3D spin glass systems with the same quenched noise but periodic and anti-periodic boundary conditions for different lattice sizes. We discuss the possible different behaviors of the system,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Enzo Marinari , Giorgio Parisi
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