mlsanityData to 7 Oct 2026

Quantum support vector machine for big data classification

arXiv 1307.0471 ↗First posted 1 Jul 2013quant-ph cs.LGcited by 35

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Abstract (arXiv)

Supervised machine learning is the classification of new data based on already classified training examples. In this work, we show that the support vector machine, an optimized binary classifier, can be implemented on a quantum computer, with complexity logarithmic in the size of the vectors and the number of training examples. In cases when classical sampling algorithms require polynomial time, an exponential speed-up is obtained. At the core of this quantum big data algorithm is a non-sparse matrix exponentiation technique for efficiently performing a matrix inversion of the training data inner-product (kernel) matrix.

Key facts. Cited by 35 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 Jul 2013.

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Citing papers per year: 2021: 6; 2022: 10; 2023: 6; 2024: 4; 2025: 7; 2026: 2.

35 papers.

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  1. 2021Quantum federated learning through blind quantum computingcited by 44
  2. 2023Machine Learning for Anomaly Detection in Particle Physicscited by 29
  3. 2021Automatic design of quantum feature mapscited by 27
  4. 2022Hybrid quantum neural network for drug response predictioncited by 25
  5. 2021Style-based quantum generative adversarial networks for Monte Carlo eventscited by 19
  6. 2022Hybrid quantum ResNet for car classification and its hyperparameter optimizationcited by 17
  7. 2022Multiclass classification using quantum convolutional neural networks with hybrid quantum-classical learningcited by 16
  8. 2023Hybrid quantum image classification and federated learning for hepatic steatosis diagnosiscited by 15
  9. 2021Variational Quanvolutional Neural Networks with enhanced image encodingcited by 13
  10. 2022The role of entanglement for enhancing the efficiency of quantum kernels towards classificationcited by 10
  11. 2023Unravelling physics beyond the standard model with classical and quantum anomaly detectioncited by 9
  12. 2023Quantum Gaussian Process Regression for Bayesian Optimizationcited by 9
23 more
  1. 2022A kernel-based quantum random forest for improved classificationcited by 7
  2. 2024Quantum Vision Transformers for Quark-Gluon Classificationcited by 7
  3. 2021quantum Case-Based Reasoning (qCBR)cited by 4
  4. 2022AutoQML: Automatic Generation and Training of Robust Quantum-Inspired Classifiers by Using Genetic Algorithms on Grayscale Imagescited by 4
  5. 2021Facial Expression Recognition on a Quantum Computercited by 3
  6. 2022Efficient Quantum Feature Extraction for CNN-based Learningcited by 3
  7. 2022Review of Ansatz Designing Techniques for Variational Quantum Algorithmscited by 3
  8. 2023Multi-Armed Bandits and Quantum Channel Oraclescited by 3
  9. 2024KACQ-DCNN: Uncertainty-Aware Interpretable Kolmogorov-Arnold Classical-Quantum Dual-Channel Neural Network for Heart Disease Detectioncited by 3
  10. 2022Quantum continual learning of quantum data realizing knowledge backward transfercited by 2
  11. 2025Evaluating the Potential of Quantum Machine Learning in Cybersecurity: A Case-Study on PCA-based Intrusion Detection Systemscited by 2
  12. 2024Early-stage detection of cognitive impairment by hybrid quantum-classical algorithm using resting-state functional MRI time-seriescited by 1
  13. 2024Verifiable cloud-based variational quantum algorithmscited by 1
  14. 2025Q2SAR: A Quantum Multiple Kernel Learning Approach for Drug Discoverycited by 1
  15. 2022Quantum Semi-Supervised Kernel Learningcited by 0
  16. 2023High-rate discretely-modulated continuous-variable quantum key distribution using quantum machine learningcited by 0
  17. 2025Hybrid quantum recurrent neural network for remaining useful life prediction of turbofan enginescited by 0
  18. 2025Stochastic Entanglement Configuration for Constructive Entanglement Topologies in Quantum Machine Learning with Application to Cardiac MRIcited by 0
  19. 2025A Quantum Bagging Algorithm with Unsupervised Base Learners for Label Corrupted Datasetscited by 0
  20. 2025Variational Quantum Circuits in Offline Contextual Bandit Problemscited by 0
  21. 2025Superpositional Gradient Descent: Harnessing Quantum Principles for Model Trainingcited by 0
  22. 2026Quantum Kernel Machine Learning for Autonomous Materials Sciencecited by 0
  23. 2026Hybrid Quantum-Classical AI for Industrial Defect Classification in Welding Imagescited by 0