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Point convolutional neural network algorithm for Ising model ground state research based on spring vibration [PDF]

open access: yesScientific Reports
The ground state search of the Ising model can be used to solve many combinatorial optimization problems. Under the current computer architecture, an Ising ground state search algorithm suitable for hardware computing is necessary for solving practical ...
Zhelong Jiang   +10 more
doaj   +2 more sources

2D Ising Model for Enantiomer Adsorption on Achiral Surfaces: L- and D-Aspartic Acid on Cu(111) [PDF]

open access: yesEntropy, 2022
The 2D Ising model is well-formulated to address problems in adsorption thermodynamics. It is particularly well-suited to describing the adsorption isotherms predicting the surface enantiomeric excess, ees, observed during competitive co-adsorption of ...
Soham Dutta, Andrew J. Gellman
doaj   +2 more sources

Dynamical Process of a Bit-Width Reduced Ising Model With Simulated Annealing

open access: yesIEEE Access, 2023
Ising machines have attracted attention as efficient solvers for combinatorial optimization problems, which are formulated as ground-state (lowest-energy) search problems of the Ising model. Due to the limited bit-width of coefficients on Ising machines,
Shuta Kikuchi, Nozomu Togawa, Shu Tanaka
doaj   +1 more source

Calculation of the Free Energy of the Ising Model on a Cayley Tree via the Self-Similarity Method

open access: yesAxioms, 2022
In this study, an interactive Ising model having the nearest and prolonged next-nearest neighbors defined on a Cayley tree is considered. Inspired by the results obtained for the one-dimensional Ising model, we will construct the partition function and ...
Hasan Akın
doaj   +1 more source

A Method of the Riemann–Hilbert Problem for Zhang’s Conjecture 2 in a Ferromagnetic 3D Ising Model: Topological Phases

open access: yesMathematics, 2021
A method of the Riemann–Hilbert problem is employed for Zhang’s conjecture 2 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in a zero external magnetic field.
Zhidong Zhang, Osamu Suzuki
doaj   +1 more source

Revising the universality class of the four-dimensional Ising model

open access: yesNuclear Physics B, 2023
The aim of this paper is to determine the behavior of the specific heat of the 4-dimensional Ising model in a region around the critical temperature, and via that determine if the Ising model and the ϕ4-model belong to the same universality class in ...
P.H. Lundow, K. Markström
doaj   +1 more source

Guiding Principle for Minor-Embedding in Simulated-Annealing-Based Ising Machines

open access: yesIEEE Access, 2020
We propose a novel type of minor-embedding (ME) in simulated-annealing-based Ising machines. The Ising machines can solve combinatorial optimization problems. Many combinatorial optimization problems are mapped to find the ground (lowest-energy) state of
Tatsuhiko Shirai   +2 more
doaj   +1 more source

Performance Comparison of Typical Binary-Integer Encodings in an Ising Machine

open access: yesIEEE Access, 2021
The differences in performance among binary-integer encodings in an Ising machine, which can solve combinatorial optimization problems, are investigated.
Kensuke Tamura   +4 more
doaj   +1 more source

Trip Planning Based on subQUBO Annealing

open access: yesIEEE Access, 2023
The trip planning problem (TPP) can be formulated as a combinatorial optimization problem that searches for the best route to visit a series of landmarks and hotels.
Tatsuya Noguchi   +3 more
doaj   +1 more source

Oscillator-Network-Based Ising Machine

open access: yesMicromachines, 2022
With the slowdown of Moore’s law, many emerging electronic devices and computing architectures have been proposed to sustain the performance advancement of computing.
Yi Zhang   +10 more
doaj   +1 more source

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