Quantum generative adversarial networks
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Abstract (arXiv)
Quantum machine learning is expected to be one of the first potential general-purpose applications of near-term quantum devices. A major recent breakthrough in classical machine learning is the notion of generative adversarial training, where the gradients of a discriminator model are used to train a separate generative model. In this work and a companion paper, we extend adversarial training to the quantum domain and show how to construct generative adversarial networks using quantum circuits. Furthermore, we also show how to compute gradients -- a key element in generative adversarial network training -- using another quantum circuit. We give an example of a simple practical circuit ansatz to parametrize quantum machine learning models and perform a simple numerical experiment to demonstrate that quantum generative adversarial networks can be trained successfully.
Key facts. Cited by 128 papers in the map (data through 14 Oct 2026). First posted on arXiv 23 Apr 2018.
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Citing papers per year: 2021: 24; 2022: 20; 2023: 20; 2024: 19; 2025: 26; 2026: 19.
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- 2021Generalization in quantum machine learning from few training datacited by 216
- 2023Challenges and Opportunities in Quantum Machine Learningcited by 203
- 2021Federated Quantum Machine Learningcited by 82
- 2021Reinforcement learning for optimization of variational quantum circuit architecturescited by 77
- 2022Theory for Equivariant Quantum Neural Networkscited by 62
- 2021Quantum Architecture Search via Deep Reinforcement Learningcited by 60
- 2022Theoretical Guarantees for Permutation-Equivariant Quantum Neural Networkscited by 52
- 2021Variational Quantum Reinforcement Learning via Evolutionary Optimizationcited by 50
- 2022Recent Advances for Quantum Neural Networks in Generative Learningcited by 39
- 2021Quantum machine learning with differential privacycited by 31
- 2022Benchmarking Adversarially Robust Quantum Machine Learning at Scalecited by 29
- 2021Automatic design of quantum feature mapscited by 28
38 more
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- 2022Hybrid Quantum-Classical Generative Adversarial Network for High Resolution Image Generationcited by 22
- 2021Hybrid Quantum-Classical Graph Convolutional Networkcited by 21
- 2023Towards Quantum Federated Learningcited by 20
- 2023Quantum-Noise-Driven Generative Diffusion Modelscited by 20
- 2021Style-based quantum generative adversarial networks for Monte Carlo eventscited by 19
- 2021Variational inference with a quantum computercited by 18
- 2022Certified Robustness of Quantum Classifiers against Adversarial Examples through Quantum Noisecited by 18
- 2022Quantum Neural Architecture Search with Quantum Circuits Metric and Bayesian Optimizationcited by 16
- 2023MosaiQ: Quantum Generative Adversarial Networks for Image Generation on NISQ Computerscited by 16
- 2024Quantum Implicit Neural Representationscited by 16
- 2021Variational Quantum Soft Actor-Criticcited by 15
- 2022Reservoir Computing via Quantum Recurrent Neural Networkscited by 14
- 2023Quantum Machine Learning on Near-Term Quantum Devices: Current State of Supervised and Unsupervised Techniques for Real-World Applicationscited by 14
- 2021Learning quantum data with the quantum Earth Mover's distancecited by 13
- 2021Exploration of Quantum Neural Architecture by Mixing Quantum Neuron Designscited by 11
- 2023Statistical Complexity of Quantum Learningcited by 11
- 2025Quantum-PEFT: Ultra parameter-efficient fine-tuningcited by 11
- 2021Quantum Quantile Mechanics: Solving Stochastic Differential Equations for Generating Time-Seriescited by 10
- 2021Hybrid quantum-classical machine learning for generative chemistry and drug designcited by 10
- 2024Quantum Generative Diffusion Model: A Fully Quantum-Mechanical Model for Generating Quantum State Ensemblecited by 9
- 2023Successive Data Injection in Conditional Quantum GAN Applied to Time Series Anomaly Detectioncited by 8
- 2024Quantum State Generation with Structure-Preserving Diffusion Modelcited by 8
- 2021Representation of binary classification trees with binary features by quantum circuitscited by 7
- 2021Quantum Machine Learning for Financecited by 7
- 2021A Quantum Generative Adversarial Network for distributionscited by 7
- 2021Learnability of the output distributions of local quantum circuitscited by 7
- 2025Expressive equivalence of classical and quantum restricted Boltzmann machinescited by 7
- 2025Quantum-Informed Machine Learning for Predicting Spatiotemporal Chaos with Practical Quantum Advantagecited by 7
- 2022AutoQML: Automated Quantum Machine Learning for Wi-Fi Integrated Sensing and Communicationscited by 6
- 2023Quantum Generative Adversarial Networks: Bridging Classical and Quantum Realmscited by 6
- 2024Generating Universal Adversarial Perturbations for Quantum Classifierscited by 5
- 2024PristiQ: A Co-Design Framework for Preserving Data Security of Quantum Learning in the Cloudcited by 5
- 2025When Federated Learning Meets Quantum Computing: Survey and Research Opportunitiescited by 5
- 2021Quantum Model-Discoverycited by 4
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50 most cited of 128 All 128 (JSON)
- 2026HMB-GAN: Hybrid Multi-B'ezier GAN for Vector Shape Synthesis17 Sep 2026
- 2026Quantum MeanFlow: single-shot generative sampling on NISQ hardware2 Sep 2026
- 2026CoQui: A Coordinate-Conditioned Quantum Implicit Generative Adversarial Network for End-to-End Image Generation12 Aug 2026
- 2026Towards quantum machine learning for assessing the resilience of post-quantum cryptography15 Jul 2026
- 2026Quantum Circuits in Diffusion Models: A Fair-Comparison Study and a Mechanistic Analysis of Angle-Embedding Failures10 Jul 2026
- 2026An Hybrid Quantum-Classical Diffusion Model for Image Generation8 Jul 2026
- 2026Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport19 Jun 2026
- 2026QnRL: Quantum-Native Reinforcement Learning6 Jun 2026
- 2026Q-SYNTH: Hybrid Quantum-Classical Adversarial Augmentation for Imbalanced Fraud Detection20 May 2026
- 2026Quantum Sidecar Architectures for Hybrid AI Training and Inference: Stateful Protected Registers, Stateless Reset-and-Reprepare Circuits and Quantum Weight-State Outlook18 May 2026
- 2026Local-Time Riemannian Score Matching on the Quantum Pure-State Manifold5 May 2026
- 2026Latent Style-based Quantum Wasserstein GAN for Drug Design23 Mar 2026
38 more
- 2026Model selection in hybrid quantum neural networks with applications to quantum transformer architectures23 Mar 2026
- 2026End-to-End QGAN-Based Image Synthesis via Neural Noise Encoding and Intensity Calibration19 Mar 2026
- 2026Scaling Quantum Machine Learning without Tricks: Full-Resolution and Diverse Image Generation27 Feb 2026
- 2026Quantum Scrambling Born Machine19 Feb 2026
- 2026MerLin: A Discovery Engine for Photonic and Hybrid Quantum Machine Learning11 Feb 2026
- 2026SAQNN: Spectral Adaptive Quantum Neural Network as a Universal Approximator10 Feb 2026
- 2026Exponential capacity scaling of classical GANs compared to hybrid latent style-based quantum GANs8 Jan 2026
- 2025Quantum Generative Models for Computational Fluid Dynamics: A First Exploration of Latent Space Learning in Lattice Boltzmann Simulations27 Dec 2025
- 2025Differentiable Energy-Based Regularization in GANs: A Simulator-Based Exploration of VQE-Inspired Auxiliary Losses14 Dec 2025
- 2025Topology-Guided Quantum GANs for Constrained Graph Generation11 Dec 2025
- 2025Intrinsic preservation of plasticity in continual quantum learning21 Nov 2025
- 2025A Novel XAI-Enhanced Quantum Adversarial Networks for Velocity Dispersion Modeling in MaNGA Galaxies28 Oct 2025
- 2025Quantum Synthetic Data Generation for Industrial Bioprocess Monitoring20 Oct 2025
- 2025Wavefunction Flows: Efficient Quantum Simulation of Continuous Flow Models9 Oct 2025
- 2025Quantum Generative Adversarial Autoencoders: Learning latent representations for quantum data generation19 Sep 2025
- 2025On the Generalization Limits of Quantum Generative Adversarial Networks with Pure State Generators13 Aug 2025
- 2025Quantum Temporal Fusion Transformer6 Aug 2025
- 2025Superior resilience to poisoning and amenability to unlearning in quantum machine learning4 Aug 2025
- 2025Quantum-Informed Machine Learning for Predicting Spatiotemporal Chaos with Practical Quantum Advantage26 Jul 2025
- 2025Formal Verification of Variational Quantum Circuits14 Jul 2025
- 2025MediQ-GAN: Quantum-Inspired GAN for High Resolution Medical Image Generation26 Jun 2025
- 2025QGAN-based data augmentation for hybrid quantum-classical neural networks30 May 2025
- 2025TabularQGAN: A quantum generative model for tabular data synthesis28 May 2025
- 2025Physics-inspired Generative AI models via real hardware-based noisy quantum diffusion28 May 2025
- 2025Overcoming Dimensional Factorization Limits in Discrete Diffusion Models through Quantum Joint Distribution Learning8 May 2025
- 2025An Efficient Quantum Classifier Based on Hamiltonian Representations13 Apr 2025
- 2025When Federated Learning Meets Quantum Computing: Survey and Research Opportunities9 Apr 2025
- 2025Optimistic Online Learning in Symmetric Cone Games4 Apr 2025
- 2025Quantum Generative Models for Image Generation: Insights from MNIST and MedMNIST30 Mar 2025
- 2025Quantum-PEFT: Ultra parameter-efficient fine-tuning7 Mar 2025
- 2025Expressive equivalence of classical and quantum restricted Boltzmann machines24 Feb 2025
- 2025Investigating Parameter-Efficiency of Hybrid QuGANs Based on Geometric Properties of Generated Sea Route Graphs15 Jan 2025
- 2025Quantum Down Sampling Filter for Variational Auto-encoder9 Jan 2025
- 2024A Parameter-Efficient Quantum Anomaly Detection Method on a Superconducting Quantum Processor22 Dec 2024
- 2024Quantum Implicit Neural Compression19 Dec 2024
- 2024EQNN: Enhanced Quantum Neural Network21 Nov 2024
- 2024Distribution alignment based transfer fusion frameworks on quantum devices for seeking quantum advantages4 Nov 2024
- 2024QIXAI: A Quantum-Inspired Framework for Enhancing Classical and Quantum Model Transparency and Understanding21 Oct 2024
50 newest of 128 All 128 (JSON)
- 2023Quantum-Noise-Driven Generative Diffusion Modelscited by 20
- 2024Quantum Generative Diffusion Model: A Fully Quantum-Mechanical Model for Generating Quantum State Ensemblecited by 9
- 2024Quantum State Generation with Structure-Preserving Diffusion Modelcited by 8
- 2025Wavefunction Flows: Efficient Quantum Simulation of Continuous Flow Modelscited by 3
- 2025Overcoming Dimensional Factorization Limits in Discrete Diffusion Models through Quantum Joint Distribution Learningcited by 2
- 2025Physics-inspired Generative AI models via real hardware-based noisy quantum diffusioncited by 2
- 2026Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transportcited by 0
- 2026An Hybrid Quantum-Classical Diffusion Model for Image Generationcited by 0
- 2026Quantum Circuits in Diffusion Models: A Fair-Comparison Study and a Mechanistic Analysis of Angle-Embedding Failurescited by 0
- 2026Quantum MeanFlow: single-shot generative sampling on NISQ hardwarecited by 0
- 2026Quantum MeanFlow: single-shot generative sampling on NISQ hardware2 Sep 2026
- 2026Quantum Circuits in Diffusion Models: A Fair-Comparison Study and a Mechanistic Analysis of Angle-Embedding Failures10 Jul 2026
- 2026An Hybrid Quantum-Classical Diffusion Model for Image Generation8 Jul 2026
- 2026Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport19 Jun 2026
- 2025Wavefunction Flows: Efficient Quantum Simulation of Continuous Flow Models9 Oct 2025
- 2025Physics-inspired Generative AI models via real hardware-based noisy quantum diffusion28 May 2025
- 2025Overcoming Dimensional Factorization Limits in Discrete Diffusion Models through Quantum Joint Distribution Learning8 May 2025
- 2024Quantum State Generation with Structure-Preserving Diffusion Model9 Apr 2024
- 2024Quantum Generative Diffusion Model: A Fully Quantum-Mechanical Model for Generating Quantum State Ensemble13 Jan 2024
- 2023Quantum-Noise-Driven Generative Diffusion Models23 Aug 2023
- 2026QnRL: Quantum-Native Reinforcement Learningcited by 0
- 2026QnRL: Quantum-Native Reinforcement Learning6 Jun 2026
- 2021Generalization in quantum machine learning from few training datacited by 216
- 2023Challenges and Opportunities in Quantum Machine Learningcited by 203
- 2021Federated Quantum Machine Learningcited by 82
- 2021Reinforcement learning for optimization of variational quantum circuit architecturescited by 77
- 2022Theory for Equivariant Quantum Neural Networkscited by 62
- 2021Quantum Architecture Search via Deep Reinforcement Learningcited by 60
- 2022Theoretical Guarantees for Permutation-Equivariant Quantum Neural Networkscited by 52
- 2021Variational Quantum Reinforcement Learning via Evolutionary Optimizationcited by 50
- 2022Recent Advances for Quantum Neural Networks in Generative Learningcited by 39
- 2021Quantum machine learning with differential privacycited by 31
- 2022Benchmarking Adversarially Robust Quantum Machine Learning at Scalecited by 29
- 2021Automatic design of quantum feature mapscited by 28
12 most cited of 115 All 115 (JSON)
- 2026HMB-GAN: Hybrid Multi-B'ezier GAN for Vector Shape Synthesis17 Sep 2026
- 2026CoQui: A Coordinate-Conditioned Quantum Implicit Generative Adversarial Network for End-to-End Image Generation12 Aug 2026
- 2026Towards quantum machine learning for assessing the resilience of post-quantum cryptography15 Jul 2026
- 2026Q-SYNTH: Hybrid Quantum-Classical Adversarial Augmentation for Imbalanced Fraud Detection20 May 2026
- 2026Quantum Sidecar Architectures for Hybrid AI Training and Inference: Stateful Protected Registers, Stateless Reset-and-Reprepare Circuits and Quantum Weight-State Outlook18 May 2026
- 2026Local-Time Riemannian Score Matching on the Quantum Pure-State Manifold5 May 2026
- 2026Latent Style-based Quantum Wasserstein GAN for Drug Design23 Mar 2026
- 2026Model selection in hybrid quantum neural networks with applications to quantum transformer architectures23 Mar 2026
- 2026End-to-End QGAN-Based Image Synthesis via Neural Noise Encoding and Intensity Calibration19 Mar 2026
- 2026Scaling Quantum Machine Learning without Tricks: Full-Resolution and Diverse Image Generation27 Feb 2026
- 2026Quantum Scrambling Born Machine19 Feb 2026
- 2026MerLin: A Discovery Engine for Photonic and Hybrid Quantum Machine Learning11 Feb 2026
12 newest of 115 All 115 (JSON)