Accelerating Quantum Reinforcement Learning with a Quantum Natural Policy Gradient Based Approach

Fuente: arXiv
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Main Authors: Xu, Yang, Aggarwal, Vaneet
Format: Preprint
Published: 2025
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author Xu, Yang
Aggarwal, Vaneet
author_facet Xu, Yang
Aggarwal, Vaneet
contents We address the problem of quantum reinforcement learning (QRL) under model-free settings with quantum oracle access to the Markov Decision Process (MDP). This paper introduces a Quantum Natural Policy Gradient (QNPG) algorithm, which replaces the random sampling used in classical Natural Policy Gradient (NPG) estimators with a deterministic gradient estimation approach, enabling seamless integration into quantum systems. While this modification introduces a bounded bias in the estimator, the bias decays exponentially with increasing truncation levels. This paper demonstrates that the proposed QNPG algorithm achieves a sample complexity of $\tilde{\mathcal{O}}(ε^{-1.5})$ for queries to the quantum oracle, significantly improving the classical lower bound of $\tilde{\mathcal{O}}(ε^{-2})$ for queries to the MDP.
format Preprint
id arxiv_https___arxiv_org_abs_2501_16243
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Accelerating Quantum Reinforcement Learning with a Quantum Natural Policy Gradient Based Approach
Xu, Yang
Aggarwal, Vaneet
Quantum Physics
Artificial Intelligence
Machine Learning
We address the problem of quantum reinforcement learning (QRL) under model-free settings with quantum oracle access to the Markov Decision Process (MDP). This paper introduces a Quantum Natural Policy Gradient (QNPG) algorithm, which replaces the random sampling used in classical Natural Policy Gradient (NPG) estimators with a deterministic gradient estimation approach, enabling seamless integration into quantum systems. While this modification introduces a bounded bias in the estimator, the bias decays exponentially with increasing truncation levels. This paper demonstrates that the proposed QNPG algorithm achieves a sample complexity of $\tilde{\mathcal{O}}(ε^{-1.5})$ for queries to the quantum oracle, significantly improving the classical lower bound of $\tilde{\mathcal{O}}(ε^{-2})$ for queries to the MDP.
title Accelerating Quantum Reinforcement Learning with a Quantum Natural Policy Gradient Based Approach
topic Quantum Physics
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2501.16243