Rapid training of quantum recurrent neural networks
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Abstract (arXiv)
Time series prediction is essential for human activities in diverse areas. A common approach to this task is to harness Recurrent Neural Networks (RNNs). However, while their predictions are quite accurate, their learning process is complex and, thus, time and energy consuming. Here, we propose to extend the concept of RRNs by including continuous-variable quantum resources in it, and to use a quantum-enhanced RNN to overcome these obstacles. The design of the Continuous-Variable Quantum RNN (CV-QRNN) is rooted in the continuous-variable quantum computing paradigm. By performing extensive numerical simulations, we demonstrate that the quantum network is capable of learning-time dependence of several types of temporal data, and that it converges to the optimal weights in fewer epochs than a classical network. Furthermore, for a small number of trainable parameters, it can achieve lower losses than its classical counterpart. CV-QRNN can be implemented using commercially available quantum-photonic hardware.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 26 of its 83 references that are in the map. First posted on arXiv 1 Jul 2022.
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26 of 83 references.
References · 26
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14 more
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Citing papers per year: 2023: 3; 2024: 1; 2025: 4; 2026: 5.
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- 2023Approximately Equivariant Quantum Neural Network for p4m Group Symmetries in Imagescited by 10
- 2025A Primer on Quantum Machine Learningcited by 9
- 2025Feedback-driven recurrent quantum neural network universalitycited by 5
- 2023Density Matrix Emulation of Quantum Recurrent Neural Networks for Multivariate Time Series Predictioncited by 4
- 2026Recursive QLSTM with Dynamic Variational Quantum Circuit Adaptationcited by 2
- 2026Self-Modulating Quantum Fast-Weight Programmers for Efficient Adaptive Sequential Learningcited by 2
- 2023A Survey of Classical And Quantum Sequence Modelscited by 1
- 2025Hybrid Quantum-Classical Recurrent Neural Networkscited by 1
- 2026Quantum Circuit-Based Learning Models: Bridging Quantum Computing and Machine Learningcited by 1
- 2024Multi-Scale Feature Fusion Quantum Depthwise Convolutional Neural Networks for Text Classificationcited by 0
- 2025FRQI Pairs method for image classification using Quantum Recurrent Neural Networkcited by 0
- 2026A Quantum-Classical Hybrid Framework for Multivariate Time-Series Forecasting Complexity-Fidelity Trade-offs and Limitationscited by 0
1 more
- 2026A Quantum Variational Approach to Prototypical Recurrent Unit3 Sep 2026
- 2026A Quantum-Classical Hybrid Framework for Multivariate Time-Series Forecasting Complexity-Fidelity Trade-offs and Limitations17 Jul 2026
- 2026Self-Modulating Quantum Fast-Weight Programmers for Efficient Adaptive Sequential Learning22 Jun 2026
- 2026Recursive QLSTM with Dynamic Variational Quantum Circuit Adaptation22 Jun 2026
- 2026Quantum Circuit-Based Learning Models: Bridging Quantum Computing and Machine Learning19 Jan 2026
- 2025FRQI Pairs method for image classification using Quantum Recurrent Neural Network12 Dec 2025
- 2025A Primer on Quantum Machine Learning20 Nov 2025
- 2025Hybrid Quantum-Classical Recurrent Neural Networks29 Oct 2025
- 2025Feedback-driven recurrent quantum neural network universality19 Jun 2025
- 2024Multi-Scale Feature Fusion Quantum Depthwise Convolutional Neural Networks for Text Classification22 May 2024
- 2023A Survey of Classical And Quantum Sequence Models15 Dec 2023
- 2023Density Matrix Emulation of Quantum Recurrent Neural Networks for Multivariate Time Series Prediction31 Oct 2023
- 2023Approximately Equivariant Quantum Neural Network for p4m Group Symmetries in Imagescited by 10
- 2025A Primer on Quantum Machine Learningcited by 9
- 2025Feedback-driven recurrent quantum neural network universalitycited by 5
- 2023Density Matrix Emulation of Quantum Recurrent Neural Networks for Multivariate Time Series Predictioncited by 4
- 2026Recursive QLSTM with Dynamic Variational Quantum Circuit Adaptationcited by 2
- 2026Self-Modulating Quantum Fast-Weight Programmers for Efficient Adaptive Sequential Learningcited by 2
- 2023A Survey of Classical And Quantum Sequence Modelscited by 1
- 2025Hybrid Quantum-Classical Recurrent Neural Networkscited by 1
- 2026Quantum Circuit-Based Learning Models: Bridging Quantum Computing and Machine Learningcited by 1
- 2024Multi-Scale Feature Fusion Quantum Depthwise Convolutional Neural Networks for Text Classificationcited by 0
- 2025FRQI Pairs method for image classification using Quantum Recurrent Neural Networkcited by 0
- 2026A Quantum-Classical Hybrid Framework for Multivariate Time-Series Forecasting Complexity-Fidelity Trade-offs and Limitationscited by 0
12 most cited of 13 All 13 (JSON)
- 2026A Quantum Variational Approach to Prototypical Recurrent Unit3 Sep 2026
- 2026A Quantum-Classical Hybrid Framework for Multivariate Time-Series Forecasting Complexity-Fidelity Trade-offs and Limitations17 Jul 2026
- 2026Self-Modulating Quantum Fast-Weight Programmers for Efficient Adaptive Sequential Learning22 Jun 2026
- 2026Recursive QLSTM with Dynamic Variational Quantum Circuit Adaptation22 Jun 2026
- 2026Quantum Circuit-Based Learning Models: Bridging Quantum Computing and Machine Learning19 Jan 2026
- 2025FRQI Pairs method for image classification using Quantum Recurrent Neural Network12 Dec 2025
- 2025A Primer on Quantum Machine Learning20 Nov 2025
- 2025Hybrid Quantum-Classical Recurrent Neural Networks29 Oct 2025
- 2025Feedback-driven recurrent quantum neural network universality19 Jun 2025
- 2024Multi-Scale Feature Fusion Quantum Depthwise Convolutional Neural Networks for Text Classification22 May 2024
- 2023A Survey of Classical And Quantum Sequence Models15 Dec 2023
- 2023Density Matrix Emulation of Quantum Recurrent Neural Networks for Multivariate Time Series Prediction31 Oct 2023
12 newest of 13 All 13 (JSON)