A Hybrid Quantum-Classical Physics-Informed Neural Network Architecture for Solving Quantum Optimal Control Problems

Fuente: arXiv
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Hauptverfasser: Dehaghani, Nahid Binandeh, Aguiar, A. Pedro, Wisniewski, Rafal
Format: Preprint
Veröffentlicht: 2024
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author Dehaghani, Nahid Binandeh
Aguiar, A. Pedro
Wisniewski, Rafal
author_facet Dehaghani, Nahid Binandeh
Aguiar, A. Pedro
Wisniewski, Rafal
contents This paper proposes an integrated quantum-classical approach that merges quantum computational dynamics with classical computing methodologies tailored to address control problems based on Pontryagin's minimum principle within a Physics-Informed Neural Network (PINN) framework. By leveraging a dynamic quantum circuit that combines Gaussian and non-Gaussian gates, the study showcases an innovative approach to optimizing quantum state manipulations. The proposed hybrid model effectively applies machine learning techniques to solve optimal control problems. This is illustrated through the design and implementation of a hybrid PINN network to solve a quantum state transition problem in a two and three-level system, highlighting its potential across various quantum computing applications.
format Preprint
id arxiv_https___arxiv_org_abs_2404_15015
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Hybrid Quantum-Classical Physics-Informed Neural Network Architecture for Solving Quantum Optimal Control Problems
Dehaghani, Nahid Binandeh
Aguiar, A. Pedro
Wisniewski, Rafal
Quantum Physics
This paper proposes an integrated quantum-classical approach that merges quantum computational dynamics with classical computing methodologies tailored to address control problems based on Pontryagin's minimum principle within a Physics-Informed Neural Network (PINN) framework. By leveraging a dynamic quantum circuit that combines Gaussian and non-Gaussian gates, the study showcases an innovative approach to optimizing quantum state manipulations. The proposed hybrid model effectively applies machine learning techniques to solve optimal control problems. This is illustrated through the design and implementation of a hybrid PINN network to solve a quantum state transition problem in a two and three-level system, highlighting its potential across various quantum computing applications.
title A Hybrid Quantum-Classical Physics-Informed Neural Network Architecture for Solving Quantum Optimal Control Problems
topic Quantum Physics
url https://arxiv.org/abs/2404.15015