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Reinforcement learning studies how an agent should interact with an environment to maximize its cumulative reward. A standard way to study this question abstractly is to ask how many samples an agent needs from the environment to learn an…

量子物理 · 物理学 2021-12-21 Daochen Wang , Aarthi Sundaram , Robin Kothari , Ashish Kapoor , Martin Roetteler

Quantum computing has shown the potential to substantially speed up machine learning applications, in particular for supervised and unsupervised learning. Reinforcement learning, on the other hand, has become essential for solving many…

量子物理 · 物理学 2023-11-28 El Amine Cherrat , Iordanis Kerenidis , Anupam Prakash

Quantum policy evaluation (QPE) is a reinforcement learning (RL) algorithm which is quadratically more efficient than an analogous classical Monte Carlo estimation. It makes use of a direct quantum mechanical realization of a finite Markov…

Amplitude Amplification -- a key component of Grover's Search algorithm -- uses an iterative approach to systematically increase the probability of one or multiple target states. We present novel strategies to enhance the amplification…

量子物理 · 物理学 2021-06-22 Austin Gilliam , Marco Pistoia , Constantin Gonciulea

Quantum annealing algorithms belong to the class of metaheuristic tools, applicable for solving binary optimization problems. Hardware implementations of quantum annealing, such as the quantum annealing machines produced by D-Wave Systems,…

量子物理 · 物理学 2017-09-18 Florian Neukart , David Von Dollen , Christian Seidel , Gabriele Compostella

We propose Q-Policy, a hybrid quantum-classical reinforcement learning (RL) framework that mathematically accelerates policy evaluation and optimization by exploiting quantum computing primitives. Q-Policy encodes value functions in quantum…

机器学习 · 计算机科学 2025-06-10 Kalyan Cherukuri , Aarav Lala , Yash Yardi

Understanding the power and limitations of quantum access to data in machine learning tasks is primordial to assess the potential of quantum computing in artificial intelligence. Previous works have already shown that speed-ups in learning…

量子物理 · 物理学 2023-07-21 Sofiene Jerbi , Arjan Cornelissen , Māris Ozols , Vedran Dunjko

We study some extensions of Grover's quantum searching algorithm. First, we generalize the Grover iteration in the light of a concept called amplitude amplification. Then, we show that the quadratic speedup obtained by the quantum searching…

量子物理 · 物理学 2017-01-03 Gilles Brassard , Peter Hoyer , Alain Tapp

We introduce a new variant of Quantum Amplitude Estimation (QAE), called Iterative QAE (IQAE), which does not rely on Quantum Phase Estimation (QPE) but is only based on Grover's Algorithm, which reduces the required number of qubits and…

量子物理 · 物理学 2021-04-20 Dmitry Grinko , Julien Gacon , Christa Zoufal , Stefan Woerner

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…

量子物理 · 物理学 2025-07-02 Yang Xu , Vaneet Aggarwal

Advances in the experimental demonstration of quantum processors have provoked a surge of interest to the idea of practical implementation of quantum computing over last years. It is expected that the use of quantum algorithms will…

量子物理 · 物理学 2023-08-17 Egor E. Nuzhin , Dmitry Yudin

Monte Carlo integration is a widely used numerical method for approximating integrals, which is often computationally expensive. In recent years, quantum computing has shown promise for speeding up Monte Carlo integration, and several…

量子物理 · 物理学 2023-12-12 Jorge J. Martínez de Lejarza , Michele Grossi , Leandro Cieri , Germán Rodrigo

Classical reinforcement learning (RL) aims to optimize the expected cumulative reward. In this work, we consider the RL setting where the goal is to optimize the quantile of the cumulative reward. We parameterize the policy controlling…

机器学习 · 计算机科学 2023-05-15 Jinyang Jiang , Jiaqiao Hu , Yijie Peng

Quantum multi-programming is a method utilizing contemporary noisy intermediate-scale quantum computers by executing multiple quantum circuits concurrently. Despite early research on it, the research remains on quantum gates or small-size…

量子物理 · 物理学 2023-08-09 Gilchan Park , Kun Zhang , Kwangmin Yu , Vladimir Korepin

This paper introduces a quantum framework for addressing reinforcement learning (RL) tasks, grounded in the quantum principles and leveraging a fully quantum model of the classical Markov decision process (MDP). By employing quantum…

量子物理 · 物理学 2026-04-23 Thet Htar Su , Shaswot Shresthamali , Masaaki Kondo

Grover's quantum search and its generalization, quantum amplitude amplification, provide quadratic advantage over classical algorithms for a diverse set of tasks, but are tricky to use without knowing beforehand what fraction $\lambda$ of…

量子物理 · 物理学 2014-11-26 Theodore J. Yoder , Guang Hao Low , Isaac L. Chuang

Reinforcement learning is a growing field in AI with a lot of potential. Intelligent behavior is learned automatically through trial and error in interaction with the environment. However, this learning process is often costly. Using…

We build a quantum algorithm which uses the Grover quantum search procedure in order to sample the exact equilibrium distribution of a wide range of classical statistical mechanics systems. The algorithm is based on recently developed exact…

量子物理 · 物理学 2014-11-20 Nicolas Destainville , Bertrand Georgeot , Olivier Giraud

A scalable and resource-efficient quantum reinforcement learning framework is presented that eliminates the linear qubit-scaling barrier in multi-step quantum Markov decision processes (QMDPs). The proposed framework integrates a QMDP…

量子物理 · 物理学 2026-04-23 Thet Htar Su , Shaswot Shresthamali , Masaaki Kondo

In this work, we design quantum algorithms that are more efficient than classical algorithms to solve time-dependent and finite-horizon Markov Decision Processes (MDPs) in two distinct settings: (1) In the exact dynamics setting, where the…

量子物理 · 物理学 2025-08-11 Bin Luo , Yuwen Huang , Jonathan Allcock , Xiaojun Lin , Shengyu Zhang , John C. S. Lui
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