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Applications of Combinatorial Analysis to the Calculation of the Partition Function of the Ising Model [PDF]

open access: yes, 2009
The research work discussed in this thesis investigated the application of combinatorics and graph theory in the analysis of the partition function of the Ising Model. Chapter 1 gives a general introduction to the partition function of the Ising Model
Lin, Ming-Shr Matt
core   +1 more source

Microwave Photonic Ising Machine

open access: yes, 2020
Ising machines based on analog systems have the potential of acceleration in solving ubiquitous combinatorial optimization problems. Although some artificial spins to support large-scale Ising machine is reported, e.g.
Hao Ding (186871)   +7 more
core   +1 more source

Observing a Phase Transition in a Coherent Ising Machine

open access: yes, 2023
A coherent Ising machine (CIM) is known to deliver the low-energy states of the Ising model. Here, we investigate how well the CIM simulates the thermodynamic properties of a two-dimensional square-lattice Ising model. Assuming that the spin sets sampled
Ikuta, Takuya   +10 more
core   +2 more sources

Ising Machines for Diophantine Problems in Physics

open access: yesFortschritte der Physik, 2022
AbstractDiophantine problems arise frequently in physics, in for example anomaly cancellation conditions, string consistency conditions and so forth. We present methods to solve such problems to high order on annealers that are based on the quadratic Ising Model.
Steven A. Abel, Luca A. Nutricati
openaire   +3 more sources

A general learning scheme for classical and quantum Ising machines

open access: yesSciPost Physics Core
An Ising machine is any hardware specifically designed for finding the ground state of the Ising model. Relevant examples are coherent Ising machines and quantum annealers. In this paper, we propose a new machine learning model that is based on the Ising
Ludwig Schmid, Enrico Zardini, Davide Pastorello
doaj   +1 more source

Noise-enhanced spatial-photonic Ising machine

open access: yesNanophotonics, 2020
Ising machines are novel computing devices for the energy minimization of Ising models. These combinatorial optimization problems are of paramount importance for science and technology, but remain difficult to tackle on large scale by conventional ...
Pierangeli Davide   +3 more
doaj   +1 more source

An Electronic Ising Machine

open access: yesCoRR
We develop a custom printed circuit board (PCB) for a low-power and high-speed accelerator of NP-Hard graph problems. The architecture implements an annealing-based computing paradigm using a network of nonlinear electronic oscillators whose phase dynamics converge to stable configurations that encode solutions. We review the theoretical framework, and
Matt Bowring, Ben Anderdson, Ben Tiffany
openaire   +2 more sources

A spinwave Ising machine

open access: yes, 2022
We demonstrate a spin-wave-based time-multiplexed Ising Machine (SWIM), implemented using a 5 $μ$m thick Yttrium Iron Garnet (YIG) film and off-the-shelf microwave components. The artificial Ising spins consist of 34--68 ns long 3.125 GHz spinwave RF pulses with their phase binarized using a phase-sensitive microwave amplifier.
Litvinenko, Artem   +6 more
openaire   +2 more sources

Fast Hyperparameter Tuning for Ising Machines

open access: yes2023 IEEE International Conference on Consumer Electronics (ICCE), 2023
This work has been submitted and accepted at IEEE ICCE2023.
Matthieu Parizy   +2 more
openaire   +3 more sources

Ising Machine Based on Bifurcations in a Network of Duffing Oscillators

open access: yes, 2023
Ising Machines have been extensively explored latelyfor developing new nonconventional computing architectures. Arecently proposed approach, based on simulating a dynamicalsystem exhibiting bifurcations, has shown promising performance.
Rusu, Ana,   +3 more
core   +1 more source

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