Fast and Noise-aware Machine Learning Variational Quantum Eigensolver Optimiser

Fuente: arXiv
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Hauptverfasser: Karim, Akib, Zhang, Shaobo, Usman, Muhammad
Format: Preprint
Veröffentlicht: 2025
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author Karim, Akib
Zhang, Shaobo
Usman, Muhammad
author_facet Karim, Akib
Zhang, Shaobo
Usman, Muhammad
contents The Variational Quantum Eigensolver (VQE) is a hybrid quantum-classical algorithm for preparing ground states in the current era of noisy devices. The classical component of the algorithm requires a large number of measurements on intermediate parameter values that are typically discarded. However, intermediate steps across many calculations can contain valuable information about the relationship between the quantum circuit parameters, resultant measurements, and noise specific to the device. In this work, we use supervised machine learning on the intermediate parameter and measurement data to predict optimal final parameters. Our technique optimises parameters leading to chemically accurate ground state energies much faster than conventional techniques. It requires significantly fewer iterations and simultaneously shows resilience to coherent errors if trained on noisy devices. We demonstrate this technique on IBM quantum devices by predicting ground state energies of H$_2$ for one and two qubits; H$_3$ for three qubits; and HeH$^+$ for four qubits where it finds optimal angles using only modeled data for training.
format Preprint
id arxiv_https___arxiv_org_abs_2503_20210
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fast and Noise-aware Machine Learning Variational Quantum Eigensolver Optimiser
Karim, Akib
Zhang, Shaobo
Usman, Muhammad
Quantum Physics
The Variational Quantum Eigensolver (VQE) is a hybrid quantum-classical algorithm for preparing ground states in the current era of noisy devices. The classical component of the algorithm requires a large number of measurements on intermediate parameter values that are typically discarded. However, intermediate steps across many calculations can contain valuable information about the relationship between the quantum circuit parameters, resultant measurements, and noise specific to the device. In this work, we use supervised machine learning on the intermediate parameter and measurement data to predict optimal final parameters. Our technique optimises parameters leading to chemically accurate ground state energies much faster than conventional techniques. It requires significantly fewer iterations and simultaneously shows resilience to coherent errors if trained on noisy devices. We demonstrate this technique on IBM quantum devices by predicting ground state energies of H$_2$ for one and two qubits; H$_3$ for three qubits; and HeH$^+$ for four qubits where it finds optimal angles using only modeled data for training.
title Fast and Noise-aware Machine Learning Variational Quantum Eigensolver Optimiser
topic Quantum Physics
url https://arxiv.org/abs/2503.20210