Investigating and Mitigating Barren Plateaus in Variational Quantum Circuits: A Survey

Fuente: arXiv
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Auteurs principaux: Cunningham, Jack, Zhuang, Jun
Format: Preprint
Publié: 2024
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author Cunningham, Jack
Zhuang, Jun
author_facet Cunningham, Jack
Zhuang, Jun
contents In recent years, variational quantum circuits (VQCs) have been widely explored to advance quantum circuits against classic models on various domains, such as quantum chemistry and quantum machine learning. Similar to classic machine-learning models, VQCs can be trained through various optimization approaches, such as gradient-based or gradient-free methods. However, when employing gradient-based methods, the gradient variance of VQCs may dramatically vanish as the number of qubits or layers increases. This issue, a.k.a. Barren Plateaus (BPs), seriously hinders the scaling of VQCs on large datasets. To mitigate the barren plateaus, extensive efforts have been devoted to tackling this issue through diverse strategies. In this survey, we conduct a systematic literature review of recent works from both investigation and mitigation perspectives. Furthermore, we propose a new taxonomy to categorize most existing mitigation strategies into five groups and introduce them in detail. Also, we compare the concurrent survey papers about BPs. Finally, we provide insightful discussion on future directions for BPs.
format Preprint
id arxiv_https___arxiv_org_abs_2407_17706
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Investigating and Mitigating Barren Plateaus in Variational Quantum Circuits: A Survey
Cunningham, Jack
Zhuang, Jun
Quantum Physics
Machine Learning
In recent years, variational quantum circuits (VQCs) have been widely explored to advance quantum circuits against classic models on various domains, such as quantum chemistry and quantum machine learning. Similar to classic machine-learning models, VQCs can be trained through various optimization approaches, such as gradient-based or gradient-free methods. However, when employing gradient-based methods, the gradient variance of VQCs may dramatically vanish as the number of qubits or layers increases. This issue, a.k.a. Barren Plateaus (BPs), seriously hinders the scaling of VQCs on large datasets. To mitigate the barren plateaus, extensive efforts have been devoted to tackling this issue through diverse strategies. In this survey, we conduct a systematic literature review of recent works from both investigation and mitigation perspectives. Furthermore, we propose a new taxonomy to categorize most existing mitigation strategies into five groups and introduce them in detail. Also, we compare the concurrent survey papers about BPs. Finally, we provide insightful discussion on future directions for BPs.
title Investigating and Mitigating Barren Plateaus in Variational Quantum Circuits: A Survey
topic Quantum Physics
Machine Learning
url https://arxiv.org/abs/2407.17706