Robustness and Generalization in Quantum Reinforcement Learning via Lipschitz Regularization

Fuente: arXiv
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Main Authors: Meyer, Nico, Berberich, Julian, Mutschler, Christopher, Scherer, Daniel D.
Format: Preprint
Published: 2024
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author Meyer, Nico
Berberich, Julian
Mutschler, Christopher
Scherer, Daniel D.
author_facet Meyer, Nico
Berberich, Julian
Mutschler, Christopher
Scherer, Daniel D.
contents Quantum machine learning leverages quantum computing to enhance accuracy and reduce model complexity compared to classical approaches, promising significant advancements in various fields. Within this domain, quantum reinforcement learning has garnered attention, often realized using variational quantum circuits to approximate the policy function. This paper addresses the robustness and generalization of quantum reinforcement learning by combining principles from quantum computing and control theory. Leveraging recent results on robust quantum machine learning, we utilize Lipschitz bounds to propose a regularized version of a quantum policy gradient approach, named the RegQPG algorithm. We show that training with RegQPG improves the robustness and generalization of the resulting policies. Furthermore, we introduce an algorithmic variant that incorporates curriculum learning, which minimizes failures during training. Our findings are validated through numerical experiments, demonstrating the practical benefits of our approach.
format Preprint
id arxiv_https___arxiv_org_abs_2410_21117
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Robustness and Generalization in Quantum Reinforcement Learning via Lipschitz Regularization
Meyer, Nico
Berberich, Julian
Mutschler, Christopher
Scherer, Daniel D.
Quantum Physics
Machine Learning
Quantum machine learning leverages quantum computing to enhance accuracy and reduce model complexity compared to classical approaches, promising significant advancements in various fields. Within this domain, quantum reinforcement learning has garnered attention, often realized using variational quantum circuits to approximate the policy function. This paper addresses the robustness and generalization of quantum reinforcement learning by combining principles from quantum computing and control theory. Leveraging recent results on robust quantum machine learning, we utilize Lipschitz bounds to propose a regularized version of a quantum policy gradient approach, named the RegQPG algorithm. We show that training with RegQPG improves the robustness and generalization of the resulting policies. Furthermore, we introduce an algorithmic variant that incorporates curriculum learning, which minimizes failures during training. Our findings are validated through numerical experiments, demonstrating the practical benefits of our approach.
title Robustness and Generalization in Quantum Reinforcement Learning via Lipschitz Regularization
topic Quantum Physics
Machine Learning
url https://arxiv.org/abs/2410.21117