Results 41 to 50 of about 1,742,725 (265)

Ising models and multiresolution quad-trees [PDF]

open access: yes, 2003
We study percolation and Ising models defined on generalizations of quad-trees used in multiresolution image analysis. These can be viewed as trees for which each mother vertex has 2(d) daughter vertices, and for which daughter vertices are linked ...
Wilson, Roland, Kendall, W. S.
core   +1 more source

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

Application of Ising Machines and a Software Development for Ising Machines

open access: yesJournal of the Physical Society of Japan, 2019
An online advertisement optimization, which can be represented by a combinatorial optimization problem is performed using D-Wave 2000Q, a quantum annealing machine.
Kotaro Tanahashi   +3 more
openaire   +1 more source

Efficient optimization with higher-order Ising machines [PDF]

open access: yesNature Communications, 2023
AbstractA prominent approach to solving combinatorial optimization problems on parallel hardware is Ising machines, i.e., hardware implementations of networks of interacting binary spin variables. Most Ising machines leverage second-order interactions although important classes of optimization problems, such as satisfiability problems, map more ...
Connor Bybee   +5 more
openaire   +6 more sources

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

Oscillator-based Ising Machine

open access: yesCoRR, 2017
Many combinatorial optimization problems can be mapped to finding the ground states of the corresponding Ising Hamiltonians. The physical systems that can solve optimization problems in this way, namely Ising machines, have been attracting more and more attention recently.
Tianshi Wang, Jaijeet Roychowdhury
openaire   +3 more sources

E-Spin: A Stochastic Ising Spin Based on Electrically-Controlled MTJ for Constructing Large-Scale Ising Annealing Systems

open access: yesMicromachines, 2023
With its unique computer paradigm, the Ising annealing machine has become an emerging research direction. The Ising annealing system is highly effective at addressing combinatorial optimization (CO) problems that are difficult for conventional computers ...
Wenhan Chen   +6 more
doaj   +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

Observation of distinct phase transitions in a nonlinear optical Ising machine

open access: yesCommunications Physics, 2023
Optical Ising machines provide a promising approach to solve complex optimization problems and hence are of broad interest in physics society. This paper constructs a nonlinear optical Ising machine with spatial light modulators to find distinct phase ...
Santosh Kumar   +4 more
doaj   +1 more source

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

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