General implementation of quantum physics-informed neural networks

Recently, a novel type of Neural Network (NNs): the Physics-Informed Neural Networks (PINNs), was discovered to have many applications in computational physics. By integrating knowledge of physical laws and processes in Partial Differential Equations (PDEs), fast convergence and effective solutions...

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Main Authors: Shashank Reddy Vadyala, Sai Nethra Betgeri
Format: Article
Language:English
Published: Elsevier 2023-07-01
Series:Array
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590005623000127
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author Shashank Reddy Vadyala
Sai Nethra Betgeri
author_facet Shashank Reddy Vadyala
Sai Nethra Betgeri
author_sort Shashank Reddy Vadyala
collection DOAJ
description Recently, a novel type of Neural Network (NNs): the Physics-Informed Neural Networks (PINNs), was discovered to have many applications in computational physics. By integrating knowledge of physical laws and processes in Partial Differential Equations (PDEs), fast convergence and effective solutions are obtained. Since training modern Machine Learning (ML) systems is a computationally intensive endeavour, using Quantum Computing (QC) in the ML pipeline attracts increasing interest. Indeed, since several Quantum Machine Learning (QML) algorithms have already been implemented on present-day noisy intermediate-scale quantum devices, experts expect that ML on reliable, large-scale quantum computers will soon become a reality. However, after potential benefits from quantum speedup, QML may also entail reliability, trustworthiness, safety, and security risks. To solve the challenges of QML, we combine classical information processing, quantum manipulation, and processing with PINNs to accomplish a hybrid QML model named quantum based PINNs.
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spelling doaj.art-9b6e1d26e811450d82344da889e40c172023-05-27T04:26:28ZengElsevierArray2590-00562023-07-0118100287General implementation of quantum physics-informed neural networksShashank Reddy Vadyala0Sai Nethra Betgeri1Department of Computational Analysis and Modeling, Louisiana Tech University, Ruston, LA, United States; Corresponding author.Department of Computational Analysis and Modeling, Louisiana Tech University, Ruston, LA, United StatesRecently, a novel type of Neural Network (NNs): the Physics-Informed Neural Networks (PINNs), was discovered to have many applications in computational physics. By integrating knowledge of physical laws and processes in Partial Differential Equations (PDEs), fast convergence and effective solutions are obtained. Since training modern Machine Learning (ML) systems is a computationally intensive endeavour, using Quantum Computing (QC) in the ML pipeline attracts increasing interest. Indeed, since several Quantum Machine Learning (QML) algorithms have already been implemented on present-day noisy intermediate-scale quantum devices, experts expect that ML on reliable, large-scale quantum computers will soon become a reality. However, after potential benefits from quantum speedup, QML may also entail reliability, trustworthiness, safety, and security risks. To solve the challenges of QML, we combine classical information processing, quantum manipulation, and processing with PINNs to accomplish a hybrid QML model named quantum based PINNs.http://www.sciencedirect.com/science/article/pii/S2590005623000127PhysicsMachine learningQuantum computingPhysics informed neural network
spellingShingle Shashank Reddy Vadyala
Sai Nethra Betgeri
General implementation of quantum physics-informed neural networks
Array
Physics
Machine learning
Quantum computing
Physics informed neural network
title General implementation of quantum physics-informed neural networks
title_full General implementation of quantum physics-informed neural networks
title_fullStr General implementation of quantum physics-informed neural networks
title_full_unstemmed General implementation of quantum physics-informed neural networks
title_short General implementation of quantum physics-informed neural networks
title_sort general implementation of quantum physics informed neural networks
topic Physics
Machine learning
Quantum computing
Physics informed neural network
url http://www.sciencedirect.com/science/article/pii/S2590005623000127
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