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Quantum Physics-Informed Neural Networks
by
Trahan, Corey
, Loveland, Mark
, Dent, Samuel
in
Accuracy
/ Boundary conditions
/ Circuits
/ Comparative analysis
/ Computers
/ Differential equations
/ Fluid dynamics
/ Investigations
/ Machine learning
/ Neural networks
/ Parameters
/ Partial differential equations
/ physics informed neural networks
/ quantum algorithms
/ Quantum computing
/ quantum data-derived methods
/ quantum machine learning
/ Quantum physics
/ Quantum theory
/ quantum variational algorithm
2024
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Quantum Physics-Informed Neural Networks
by
Trahan, Corey
, Loveland, Mark
, Dent, Samuel
in
Accuracy
/ Boundary conditions
/ Circuits
/ Comparative analysis
/ Computers
/ Differential equations
/ Fluid dynamics
/ Investigations
/ Machine learning
/ Neural networks
/ Parameters
/ Partial differential equations
/ physics informed neural networks
/ quantum algorithms
/ Quantum computing
/ quantum data-derived methods
/ quantum machine learning
/ Quantum physics
/ Quantum theory
/ quantum variational algorithm
2024
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Do you wish to request the book?
Quantum Physics-Informed Neural Networks
by
Trahan, Corey
, Loveland, Mark
, Dent, Samuel
in
Accuracy
/ Boundary conditions
/ Circuits
/ Comparative analysis
/ Computers
/ Differential equations
/ Fluid dynamics
/ Investigations
/ Machine learning
/ Neural networks
/ Parameters
/ Partial differential equations
/ physics informed neural networks
/ quantum algorithms
/ Quantum computing
/ quantum data-derived methods
/ quantum machine learning
/ Quantum physics
/ Quantum theory
/ quantum variational algorithm
2024
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Journal Article
Quantum Physics-Informed Neural Networks
2024
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Overview
In this study, the PennyLane quantum device simulator was used to investigate quantum and hybrid, quantum/classical physics-informed neural networks (PINNs) for solutions to both transient and steady-state, 1D and 2D partial differential equations. The comparative expressibility of the purely quantum, hybrid and classical neural networks is discussed, and hybrid configurations are explored. The results show that (1) for some applications, quantum PINNs can obtain comparable accuracy with less neural network parameters than classical PINNs, and (2) adding quantum nodes in classical PINNs can increase model accuracy with less total network parameters for noiseless models.
Publisher
MDPI AG,MDPI
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