Variational Quantum Soft Actor-Critic
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Abstract (arXiv)
Quantum computing has a superior advantage in tackling specific problems, such as integer factorization and Simon's problem. For more general tasks in machine learning, by applying variational quantum circuits, more and more quantum algorithms have been proposed recently, especially in supervised learning and unsupervised learning. However, little work has been done in reinforcement learning, arguably more important and challenging. Previous work in quantum reinforcement learning mainly focuses on discrete control tasks where the action space is discrete. In this work, we develop a quantum reinforcement learning algorithm based on soft actor-critic -- one of the state-of-the-art methods for continuous control. Specifically, we use a hybrid quantum-classical policy network consisting of a variational quantum circuit and a classical artificial neural network. Tested in a standard reinforcement learning benchmark, we show that this quantum version of soft actor-critic is comparable with the original soft actor-critic, using much less adjustable parameters. Furthermore, we analyze the effect of different hyper-parameters and policy network architectures, pointing out the importance of architecture design for quantum reinforcement learning.
Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). Builds on 27 of its 63 references that are in the map. First posted on arXiv 20 Dec 2021.
Builds on
27 of 63 references.
References · 27
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15 more
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- 2021Reinforcement learning based recommender systems: A surveycited by 188
- 2018Understanding the impact of entropy on policy optimizationcited by 176
- 2019Variational Quantum Circuits for Deep Reinforcement Learningcited by 167
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Citing papers per year: 2022: 4; 2023: 4; 2024: 5; 2025: 2.
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- 2022A Survey on Quantum Reinforcement Learningcited by 53
- 2022Quantum deep recurrent reinforcement learningcited by 24
- 2024Learning to Program Variational Quantum Circuits with Fast Weightscited by 24
- 2023Asynchronous training of quantum reinforcement learningcited by 20
- 2022Quantum Deep Reinforcement Learning for Robot Navigation Taskscited by 16
- 2023Efficient quantum recurrent reinforcement learning via quantum reservoir computingcited by 14
- 2024Differentiable Quantum Architecture Search in Asynchronous Quantum Reinforcement Learningcited by 14
- 2024Quantum Advantage Actor-Critic for Reinforcement Learningcited by 9
- 2022Variational Quantum Soft Actor-Critic for Robotic Arm Controlcited by 8
- 2023Nav-Q: Quantum Deep Reinforcement Learning for Collision-Free Navigation of Self-Driving Carscited by 8
- 2024A Study on Optimization Techniques for Variational Quantum Circuits in Reinforcement Learningcited by 8
- 2024Quantum framework for Reinforcement Learning: Integrating Markov decision process, quantum arithmetic, and trajectory searchcited by 3
3 more
- 2023Quantum deep Q learning with distributed prioritized experience replaycited by 2
- 2025Scalable Quantum Reinforcement Learning on NISQ Devices with Dynamic-Circuit Qubit Reuse and Grover Optimizationcited by 1
- 2025Quantum-Embedded Dynamic Security Control using Hybrid Deep Reinforcement Learningcited by 0
- 2025Quantum-Embedded Dynamic Security Control using Hybrid Deep Reinforcement Learning21 Nov 2025
- 2025Scalable Quantum Reinforcement Learning on NISQ Devices with Dynamic-Circuit Qubit Reuse and Grover Optimization19 Sep 2025
- 2024Quantum framework for Reinforcement Learning: Integrating Markov decision process, quantum arithmetic, and trajectory search24 Dec 2024
- 2024Differentiable Quantum Architecture Search in Asynchronous Quantum Reinforcement Learning25 Jul 2024
- 2024A Study on Optimization Techniques for Variational Quantum Circuits in Reinforcement Learning20 May 2024
- 2024Learning to Program Variational Quantum Circuits with Fast Weights27 Feb 2024
- 2024Quantum Advantage Actor-Critic for Reinforcement Learning13 Jan 2024
- 2023Nav-Q: Quantum Deep Reinforcement Learning for Collision-Free Navigation of Self-Driving Cars20 Nov 2023
- 2023Efficient quantum recurrent reinforcement learning via quantum reservoir computing13 Sep 2023
- 2023Quantum deep Q learning with distributed prioritized experience replay19 Apr 2023
- 2023Asynchronous training of quantum reinforcement learning12 Jan 2023
- 2022Variational Quantum Soft Actor-Critic for Robotic Arm Control20 Dec 2022
3 more
- 2022A Survey on Quantum Reinforcement Learning7 Nov 2022
- 2022Quantum deep recurrent reinforcement learning26 Oct 2022
- 2022Quantum Deep Reinforcement Learning for Robot Navigation Tasks24 Feb 2022
- 2024Differentiable Quantum Architecture Search in Asynchronous Quantum Reinforcement Learningcited by 14
- 2024Quantum Advantage Actor-Critic for Reinforcement Learningcited by 9
- 2024A Study on Optimization Techniques for Variational Quantum Circuits in Reinforcement Learningcited by 8
- 2024Quantum framework for Reinforcement Learning: Integrating Markov decision process, quantum arithmetic, and trajectory searchcited by 3
- 2025Scalable Quantum Reinforcement Learning on NISQ Devices with Dynamic-Circuit Qubit Reuse and Grover Optimizationcited by 1
- 2025Quantum-Embedded Dynamic Security Control using Hybrid Deep Reinforcement Learningcited by 0
- 2025Quantum-Embedded Dynamic Security Control using Hybrid Deep Reinforcement Learning21 Nov 2025
- 2025Scalable Quantum Reinforcement Learning on NISQ Devices with Dynamic-Circuit Qubit Reuse and Grover Optimization19 Sep 2025
- 2024Quantum framework for Reinforcement Learning: Integrating Markov decision process, quantum arithmetic, and trajectory search24 Dec 2024
- 2024Differentiable Quantum Architecture Search in Asynchronous Quantum Reinforcement Learning25 Jul 2024
- 2024A Study on Optimization Techniques for Variational Quantum Circuits in Reinforcement Learning20 May 2024
- 2024Quantum Advantage Actor-Critic for Reinforcement Learning13 Jan 2024
- 2022A Survey on Quantum Reinforcement Learningcited by 53
- 2022Quantum deep recurrent reinforcement learningcited by 24
- 2024Learning to Program Variational Quantum Circuits with Fast Weightscited by 24
- 2023Asynchronous training of quantum reinforcement learningcited by 20
- 2022Quantum Deep Reinforcement Learning for Robot Navigation Taskscited by 16
- 2023Efficient quantum recurrent reinforcement learning via quantum reservoir computingcited by 14
- 2022Variational Quantum Soft Actor-Critic for Robotic Arm Controlcited by 8
- 2023Quantum deep Q learning with distributed prioritized experience replaycited by 2
- 2024Learning to Program Variational Quantum Circuits with Fast Weights27 Feb 2024
- 2023Efficient quantum recurrent reinforcement learning via quantum reservoir computing13 Sep 2023
- 2023Quantum deep Q learning with distributed prioritized experience replay19 Apr 2023
- 2023Asynchronous training of quantum reinforcement learning12 Jan 2023
- 2022Variational Quantum Soft Actor-Critic for Robotic Arm Control20 Dec 2022
- 2022A Survey on Quantum Reinforcement Learning7 Nov 2022
- 2022Quantum deep recurrent reinforcement learning26 Oct 2022
- 2022Quantum Deep Reinforcement Learning for Robot Navigation Tasks24 Feb 2022