mlsanityData to 7 Oct 2026

Quantum machine learning with differential privacy

arXiv 2103.06232 ↗First posted 10 Mar 2021quant-ph cs.AI cs.CRcited by 30

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Abstract (arXiv)

Quantum machine learning (QML) can complement the growing trend of using learned models for a myriad of classification tasks, from image recognition to natural speech processing. A quantum advantage arises due to the intractability of quantum operations on a classical computer. Many datasets used in machine learning are crowd sourced or contain some private information. To the best of our knowledge, no current QML models are equipped with privacy-preserving features, which raises concerns as it is paramount that models do not expose sensitive information. Thus, privacy-preserving algorithms need to be implemented with QML. One solution is to make the machine learning algorithm differentially private, meaning the effect of a single data point on the training dataset is minimized. Differentially private machine learning models have been investigated, but differential privacy has yet to be studied in the context of QML. In this study, we develop a hybrid quantum-classical model that is trained to preserve privacy using differentially private optimization algorithm. This marks the first proof-of-principle demonstration of privacy-preserving QML. The experiments demonstrate that differentially private QML can protect user-sensitive information without diminishing model accuracy. Although the quantum model is simulated and tested on a classical computer, it demonstrates potential to be efficiently implemented on near-term quantum devices (noisy intermediate-scale quantum [NISQ]). The approach's success is illustrated via the classification of spatially classed two-dimensional datasets and a binary MNIST classification. This implementation of privacy-preserving QML will ensure confidentiality and accurate learning on NISQ technology.

Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). Builds on 38 of its 91 references that are in the map. First posted on arXiv 10 Mar 2021.

Builds on

38 of 91 references.

References · 38

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26 more
  1. 2020Label-Only Membership Inference Attackscited by 371
  2. 2016Semi-supervised Knowledge Transfer for Deep Learning from Private Training Datacited by 347
  3. 2020Power of data in quantum machine learningcited by 336
  4. 2019Parameterized quantum circuits as machine learning modelscited by 330
  5. 2019Differential Privacy Has Disparate Impact on Model Accuracycited by 316
  6. 2021Practical and Private (Deep) Learning without Sampling or Shufflingcited by 169
  7. 2019Variational Quantum Circuits for Deep Reinforcement Learningcited by 165
  8. 2018Quantum generative adversarial networkscited by 128
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  10. 2019Transfer learning in hybrid classical-quantum neural networkscited by 113
  11. 2018A General Approach to Adding Differential Privacy to Iterative Training Procedurescited by 84
  12. 2020Recurrent Quantum Neural Networkscited by 79
  13. 2021Noisy intermediate-scale quantum (NISQ) algorithmscited by 79
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  17. 2020Quantum Convolutional Neural Networks for High Energy Physics Data Analysiscited by 64
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  19. 2020Quantum reinforcement learning in continuous action spacecited by 27
  20. 2020Hybrid quantum-classical classifier based on tensor network and variational quantum circuitcited by 26
  21. 2020Classification with Quantum Machine Learning: A Surveycited by 23
  22. 2021Hybrid Quantum-Classical Graph Convolutional Networkcited by 21
  23. 2018The Expressive Power of Parameterized Quantum Circuitscited by 18
  24. 2021Hybrid quantum convolutional neural networks model for COVID-19 prediction using chest X-Ray imagescited by 16
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  26. 2020A Derivative-free Method for Quantum Perceptron Training in Multi-layered Neural Networkscited by 3

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 3; 2023: 7; 2024: 4; 2025: 11; 2026: 5.

30 papers.

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  1. 2022Quantum Differential Privacy: An Information Theory Perspectivecited by 32
  2. 2022PQLM -- Multilingual Decentralized Portable Quantum Language Model for Privacy Protectioncited by 26
  3. 2023Federated Quantum Machine Learning with Differential Privacycited by 17
  4. 2023Quantum Machine Learning on Near-Term Quantum Devices: Current State of Supervised and Unsupervised Techniques for Real-World Applicationscited by 14
  5. 2023Quantum Pufferfish Privacy: A Flexible Privacy Framework for Quantum Systemscited by 9
  6. 2023Quantum Federated Learning With Quantum Networkscited by 8
  7. 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memorycited by 8
  8. 2024Contraction of Private Quantum Channels and Private Quantum Hypothesis Testingcited by 7
  9. 2023A unifying framework for differentially private quantum algorithmscited by 5
  10. 2025Towards Personalized Quantum Federated Learning for Anomaly Detectioncited by 4
  11. 2022Shot-frugal and Robust quantum kernel classifierscited by 3
  12. 2023Harnessing Inherent Noises for Privacy Preservation in Quantum Machine Learningcited by 3
18 more
  1. 2025Adversarial Robustness of Partitioned Quantum Classifierscited by 2
  2. 2025Adversarial Robustness in Distributed Quantum Machine Learningcited by 2
  3. 2023Application-Oriented Benchmarking of Quantum Generative Learning Using QUARKcited by 1
  4. 2025Comparative Analysis of Quantum and Classical Support Vector Classifiers for Software Bug Prediction: An Exploratory Studycited by 1
  5. 2025A Numerical Gradient Inversion Attack in Variational Quantum Neural-Networkscited by 1
  6. 2025Stochastic Quantum Spiking Neural Networks with Quantum Memory and Local Learningcited by 1
  7. 2025Entangled Threats: A Unified Kill Chain Model for Quantum Machine Learning Securitycited by 1
  8. 2025Q-DPTS: Quantum Differentially Private Time Series Forecasting via Variational Quantum Circuitscited by 1
  9. 2026QUPID: A Partitioned Quantum Neural Network for Anomaly Detection in Smart Gridcited by 1
  10. 2026Q-ShiftDP: A Differentially Private Parameter-Shift Rule for Quantum Machine Learningcited by 1
  11. 2024Quantum Privacy Aggregation of Teacher Ensembles (QPATE) for Privacy-preserving Quantum Machine Learningcited by 0
  12. 2024Quantum-machine-assisted Drug Discoverycited by 0
  13. 2024Quantum Adversarial Machine Learning and Defense Strategies: Challenges and Opportunitiescited by 0
  14. 2025Supervised Quantum Machine Learning: A Future Outlook from Qubits to Enterprise Applicationscited by 0
  15. 2025Trustworthy Quantum Machine Learning: A Roadmap for Reliability, Robustness, and Security in the NISQ Eracited by 0
  16. 2026Privacy-Preserving Machine Learning for IoT: A Cross-Paradigm Survey and Future Roadmapcited by 0
  17. 2026Q-ANCHOR: Federated Quantum Learning with ZNE-guided Correctioncited by 0
  18. 2026Characterizing Privacy Risks of Quantum Machine Learning with Emergent Quantum-Native Accesscited by 0