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Variational Quantum Circuits for Deep Reinforcement Learning

arXiv 1907.00397 ↗First posted 30 Jun 2019cs.LG cs.AI quant-phcited by 165

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Abstract (arXiv)

The state-of-the-art machine learning approaches are based on classical von Neumann computing architectures and have been widely used in many industrial and academic domains. With the recent development of quantum computing, researchers and tech-giants have attempted new quantum circuits for machine learning tasks. However, the existing quantum computing platforms are hard to simulate classical deep learning models or problems because of the intractability of deep quantum circuits. Thus, it is necessary to design feasible quantum algorithms for quantum machine learning for noisy intermediate scale quantum (NISQ) devices. This work explores variational quantum circuits for deep reinforcement learning. Specifically, we reshape classical deep reinforcement learning algorithms like experience replay and target network into a representation of variational quantum circuits. Moreover, we use a quantum information encoding scheme to reduce the number of model parameters compared to classical neural networks. To the best of our knowledge, this work is the first proof-of-principle demonstration of variational quantum circuits to approximate the deep Q-value function for decision-making and policy-selection reinforcement learning with experience replay and target network. Besides, our variational quantum circuits can be deployed in many near-term NISQ machines.

Key facts. Cited by 165 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Jun 2019.

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Citing papers per year: 2021: 22; 2022: 26; 2023: 23; 2024: 32; 2025: 45; 2026: 17.

165 papers.

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  1. 2021Parametrized quantum policies for reinforcement learningcited by 87
  2. 2021Federated Quantum Machine Learningcited by 82
  3. 2021The Dawn of Quantum Natural Language Processingcited by 60
  4. 2021Quantum Architecture Search via Deep Reinforcement Learningcited by 58
  5. 2021Variational Quantum Reinforcement Learning via Evolutionary Optimizationcited by 50
  6. 2022A Survey on Quantum Reinforcement Learningcited by 50
  7. 2022Escaping from the Barren Plateau via Gaussian Initializations in Deep Variational Quantum Circuitscited by 42
  8. 2022Equivariant quantum circuits for learning on weighted graphscited by 41
  9. 2022When BERT Meets Quantum Temporal Convolution Learning for Text Classification in Heterogeneous Computingcited by 40
  10. 2022Systematic Literature Review: Quantum Machine Learning and its applicationscited by 32
  11. 2021Quantum machine learning with differential privacycited by 30
  12. 2021QTN-VQC: An End-to-End Learning framework for Quantum Neural Networkscited by 27
38 more
  1. 2022Theoretical Error Performance Analysis for Variational Quantum Circuit Based Functional Regressioncited by 26
  2. 2022PQLM -- Multilingual Decentralized Portable Quantum Language Model for Privacy Protectioncited by 26
  3. 2022Quantum Multi-Agent Reinforcement Learning via Variational Quantum Circuit Designcited by 25
  4. 2021Introduction to Quantum Reinforcement Learning: Theory and PennyLane-based Implementationcited by 23
  5. 2022Quantum Multi-Agent Meta Reinforcement Learningcited by 23
  6. 2022Quantum deep recurrent reinforcement learningcited by 23
  7. 2024Learning to Program Variational Quantum Circuits with Fast Weightscited by 23
  8. 2021Quantum Architecture Search via Continual Reinforcement Learningcited by 22
  9. 2023Quantum Deep Hedgingcited by 22
  10. 2021Hybrid Quantum-Classical Graph Convolutional Networkcited by 21
  11. 2021Quantum Neural Networks: Concepts, Applications, and Challengescited by 21
  12. 2022Quantum Policy Iteration via Amplitude Estimation and Grover Search -- Towards Quantum Advantage for Reinforcement Learningcited by 21
  13. 2022Quantum Policy Gradient Algorithm with Optimized Action Decodingcited by 21
  14. 2021Quantum Self-Supervised Learningcited by 20
  15. 2023Asynchronous training of quantum reinforcement learningcited by 20
  16. 2021Classical-to-Quantum Transfer Learning for Spoken Command Recognition Based on Quantum Neural Networkscited by 19
  17. 2022Quantum Reinforcement Learning via Policy Iterationcited by 19
  18. 2023Federated Quantum Machine Learning with Differential Privacycited by 17
  19. 2024Quantum Kernel-Based Long Short-term Memory for Climate Time-Series Forecastingcited by 17
  20. 2022Policy Gradients using Variational Quantum Circuitscited by 15
  21. 2022Quantum policy gradient algorithmscited by 15
  22. 2023Federated Quantum Long Short-term Memory (FedQLSTM)cited by 15
  23. 2025Learning to Measure Quantum Neural Networkscited by 15
  24. 2021Variational Quantum Soft Actor-Criticcited by 14
  25. 2022Uncovering Instabilities in Variational-Quantum Deep Q-Networkscited by 14
  26. 2022Quantum Deep Reinforcement Learning for Robot Navigation Taskscited by 14
  27. 2022Federated Quantum Natural Gradient Descent for Quantum Federated Learningcited by 14
  28. 2022Reservoir Computing via Quantum Recurrent Neural Networkscited by 14
  29. 2023Optimizing Quantum Federated Learning Based on Federated Quantum Natural Gradient Descentcited by 14
  30. 2023Efficient quantum recurrent reinforcement learning via quantum reservoir computingcited by 14
  31. 2024Quantum-Train-Based Distributed Multi-Agent Reinforcement Learningcited by 14
  32. 2025Toward Large-Scale Distributed Quantum Long Short-Term Memory with Modular Quantum Computerscited by 14
  33. 2021Variational Quanvolutional Neural Networks with enhanced image encodingcited by 13
  34. 2023Differentiable Quantum Architecture Search for Quantum Reinforcement Learningcited by 13
  35. 2024Differentiable Quantum Architecture Search in Asynchronous Quantum Reinforcement Learningcited by 13
  36. 2022Quantum Distributed Deep Learning Architectures: Models, Discussions, and Applicationscited by 12
  37. 2022Quantum Neural Network Compressioncited by 12
  38. 2024VQC-Based Reinforcement Learning with Data Re-uploading: Performance and Trainabilitycited by 12

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