mlsanityData to 7 Oct 2026

KANQAS: Kolmogorov-Arnold Network for Quantum Architecture Search

arXiv 2406.17630 ↗First posted 25 Jun 2024quant-ph cs.AI cs.ETcited by 36

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Abstract (arXiv)

Quantum architecture Search (QAS) is a promising direction for optimization and automated design of quantum circuits towards quantum advantage. Recent techniques in QAS emphasize Multi-Layer Perceptron (MLP)-based deep Q-networks. However, their interpretability remains challenging due to the large number of learnable parameters and the complexities involved in selecting appropriate activation functions. In this work, to overcome these challenges, we utilize the Kolmogorov-Arnold Network (KAN) in the QAS algorithm, analyzing their efficiency in the task of quantum state preparation and quantum chemistry. In quantum state preparation, our results show that in a noiseless scenario, the probability of success is 2 to 5 times higher than MLPs. In noisy environments, KAN outperforms MLPs in fidelity when approximating these states, showcasing its robustness against noise. In tackling quantum chemistry problems, we enhance the recently proposed QAS algorithm by integrating curriculum reinforcement learning with a KAN structure. This facilitates a more efficient design of parameterized quantum circuits by reducing the number of required 2-qubit gates and circuit depth. Further investigation reveals that KAN requires a significantly smaller number of learnable parameters compared to MLPs; however, the average time of executing each episode for KAN is higher.

Key facts. Cited by 36 papers in the map (data through 7 Oct 2026). Builds on 26 of its 57 references that are in the map. First posted on arXiv 25 Jun 2024.

Builds on

26 of 57 references.

References · 26

  1. 2015Deep Reinforcement Learning with Double Q-learningcited by 1,704
  2. 2020Variational Quantum Algorithmscited by 687
  3. 2024KAN: Kolmogorov-Arnold Networkscited by 634
  4. 2020A Comprehensive Survey of Neural Architecture Search: Challenges and Solutionscited by 253
  5. 2020Noise-Induced Barren Plateaus in Variational Quantum Algorithmscited by 192
  6. 2024Wav-KAN: Wavelet Kolmogorov-Arnold Networkscited by 118
  7. 2021QuantumNAS: Noise-Adaptive Search for Robust Quantum Circuitscited by 97
  8. 2024Kolmogorov-Arnold Networks (KANs) for Time Series Analysiscited by 97
  9. 2024DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problemscited by 82
  10. 2020Quantum circuit architecture search for variational quantum algorithmscited by 81
  11. 2021Reinforcement learning for optimization of variational quantum circuit architecturescited by 76
  12. 2024TKAN: Temporal Kolmogorov-Arnold Networkscited by 70
14 more
  1. 2024Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretabilitycited by 69
  2. 2024fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functionscited by 60
  3. 2021Quantum Architecture Search via Deep Reinforcement Learningcited by 58
  4. 2024GKAN: Graph Kolmogorov-Arnold Networkscited by 52
  5. 2024A Temporal Kolmogorov-Arnold Transformer for Time Series Forecastingcited by 50
  6. 2024Kolmogorov-Arnold Network for Satellite Image Classification in Remote Sensingcited by 46
  7. 2024Enhancing Graph Collaborative Filtering with FourierKAN Feature Transformationcited by 41
  8. 2024Curriculum reinforcement learning for quantum architecture search under hardware errorscited by 37
  9. 2024Quantum Architecture Search: A Surveycited by 31
  10. 2018On the Selection of Initialization and Activation Function for Deep Neural Networkscited by 11
  11. 2023Enhancing variational quantum state diagonalization using reinforcement learning techniquescited by 11
  12. 2024Reinforcement learning-assisted quantum architecture search for variational quantum algorithmscited by 10
  13. 2022Reinforcement Learning Assisted Recursive QAOAcited by 8
  14. 2017Experimental Phase Estimation Enhanced By Machine Learningcited by 2

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 17; 2025: 11; 2026: 8.

36 papers.

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  1. 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
  2. 2024A Survey on Kolmogorov-Arnold Networkcited by 67
  3. 2024Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networkscited by 37
  4. 2024On the expressiveness and spectral bias of KANscited by 36
  5. 2024Exploring the Limitations of Kolmogorov-Arnold Networks in Classification: Insights to Software Training and Hardware Implementationcited by 22
  6. 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networkscited by 18
  7. 2025A Practitioner's Guide to Kolmogorov-Arnold Networkscited by 16
  8. 2024DropKAN: Regularizing KANs by masking post-activationscited by 14
  9. 2024Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networkscited by 11
  10. 2025Initialization Schemes for Kolmogorov-Arnold Networks: An Empirical Studycited by 10
  11. 2024Quantum Circuit Synthesis and Compilation Optimization: Overview and Prospectscited by 8
  12. 2024KAN versus MLP on Irregular or Noisy Functionscited by 7
24 more
  1. 2024Reinforcement learning with learned gadgets to tackle hard quantum problems on real hardwarecited by 7
  2. 2024Rethinking the Function of Neurons in KANscited by 5
  3. 2024FourierKAN outperforms MLP on Text Classification Head Fine-tuningcited by 5
  4. 2024MonoKAN: Certified Monotonic Kolmogorov-Arnold Networkcited by 4
  5. 2025ChemKANs for Combustion Chemistry Modeling and Accelerationcited by 4
  6. 2026Gated QKAN-FWP: Scalable Quantum-inspired Sequence Learningcited by 4
  7. 2024KAN v.s. MLP for Offline Reinforcement Learningcited by 3
  8. 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learningcited by 3
  9. 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometriescited by 3
  10. 2026Generative Quantum-inspired Kolmogorov-Arnold Eigensolvercited by 3
  11. 2025Improving thermal state preparation of Sachdev-Ye-Kitaev model with reinforcement learning on quantum hardwarecited by 2
  12. 2025BenchRL-QAS: Benchmarking reinforcement learning algorithms for quantum architecture searchcited by 2
  13. 2026Beyond Reinforcement Learning: Fast and Scalable Quantum Circuit Synthesiscited by 2
  14. 2024A Conflicts-free, Speed-lossless KAN-based Reinforcement Learning Decision System for Interactive Driving in Roundaboutscited by 1
  15. 2024KAT to KANs: A Review of Kolmogorov-Arnold Networks and the Neural Leap Forwardcited by 1
  16. 2025Low Tensor-Rank Adaptation of Kolmogorov--Arnold Networkscited by 1
  17. 2025Lookup multivariate Kolmogorov-Arnold Networkscited by 1
  18. 2026Replay-buffer engineering for noise-aware quantum circuit optimizationcited by 1
  19. 2026SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functionscited by 1
  20. 2025HKAN: Hierarchical Kolmogorov-Arnold Network without Backpropagationcited by 0
  21. 2025Combinations of Fast Activation and Trigonometric Functions in Kolmogorov-Arnold Networkscited by 0
  22. 2026Layered Quantum Architecture Search for 3D Point Cloud Classificationcited by 0
  23. 2026Adversarial Effects on Expressibility and Trainability in Distributed Variational Quantum Algorithmscited by 0
  24. 2026AutoQuREO: A Framework for Automated Quantum Resource Estimation and Optimizationcited by 0