Quantum machine learning with differential privacy
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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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- 2020Label-Only Membership Inference Attackscited by 371
- 2016Semi-supervised Knowledge Transfer for Deep Learning from Private Training Datacited by 347
- 2020Power of data in quantum machine learningcited by 336
- 2019Parameterized quantum circuits as machine learning modelscited by 330
- 2019Differential Privacy Has Disparate Impact on Model Accuracycited by 316
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- 2019Transfer learning in hybrid classical-quantum neural networkscited by 113
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- 2020Recurrent Quantum Neural Networkscited by 79
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Citing papers per year: 2022: 3; 2023: 7; 2024: 4; 2025: 11; 2026: 5.
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- 2022Quantum Differential Privacy: An Information Theory Perspectivecited by 32
- 2022PQLM -- Multilingual Decentralized Portable Quantum Language Model for Privacy Protectioncited by 26
- 2023Federated Quantum Machine Learning with Differential Privacycited by 17
- 2023Quantum Machine Learning on Near-Term Quantum Devices: Current State of Supervised and Unsupervised Techniques for Real-World Applicationscited by 14
- 2023Quantum Pufferfish Privacy: A Flexible Privacy Framework for Quantum Systemscited by 9
- 2023Quantum Federated Learning With Quantum Networkscited by 8
- 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memorycited by 8
- 2024Contraction of Private Quantum Channels and Private Quantum Hypothesis Testingcited by 7
- 2023A unifying framework for differentially private quantum algorithmscited by 5
- 2025Towards Personalized Quantum Federated Learning for Anomaly Detectioncited by 4
- 2022Shot-frugal and Robust quantum kernel classifierscited by 3
- 2023Harnessing Inherent Noises for Privacy Preservation in Quantum Machine Learningcited by 3
18 more
- 2025Adversarial Robustness of Partitioned Quantum Classifierscited by 2
- 2025Adversarial Robustness in Distributed Quantum Machine Learningcited by 2
- 2023Application-Oriented Benchmarking of Quantum Generative Learning Using QUARKcited by 1
- 2025Comparative Analysis of Quantum and Classical Support Vector Classifiers for Software Bug Prediction: An Exploratory Studycited by 1
- 2025A Numerical Gradient Inversion Attack in Variational Quantum Neural-Networkscited by 1
- 2025Stochastic Quantum Spiking Neural Networks with Quantum Memory and Local Learningcited by 1
- 2025Entangled Threats: A Unified Kill Chain Model for Quantum Machine Learning Securitycited by 1
- 2025Q-DPTS: Quantum Differentially Private Time Series Forecasting via Variational Quantum Circuitscited by 1
- 2026QUPID: A Partitioned Quantum Neural Network for Anomaly Detection in Smart Gridcited by 1
- 2026Q-ShiftDP: A Differentially Private Parameter-Shift Rule for Quantum Machine Learningcited by 1
- 2024Quantum Privacy Aggregation of Teacher Ensembles (QPATE) for Privacy-preserving Quantum Machine Learningcited by 0
- 2024Quantum-machine-assisted Drug Discoverycited by 0
- 2024Quantum Adversarial Machine Learning and Defense Strategies: Challenges and Opportunitiescited by 0
- 2025Supervised Quantum Machine Learning: A Future Outlook from Qubits to Enterprise Applicationscited by 0
- 2025Trustworthy Quantum Machine Learning: A Roadmap for Reliability, Robustness, and Security in the NISQ Eracited by 0
- 2026Privacy-Preserving Machine Learning for IoT: A Cross-Paradigm Survey and Future Roadmapcited by 0
- 2026Q-ANCHOR: Federated Quantum Learning with ZNE-guided Correctioncited by 0
- 2026Characterizing Privacy Risks of Quantum Machine Learning with Emergent Quantum-Native Accesscited by 0
- 2026Characterizing Privacy Risks of Quantum Machine Learning with Emergent Quantum-Native Access4 Sep 2026
- 2026Q-ANCHOR: Federated Quantum Learning with ZNE-guided Correction28 May 2026
- 2026Privacy-Preserving Machine Learning for IoT: A Cross-Paradigm Survey and Future Roadmap13 Mar 2026
- 2026Q-ShiftDP: A Differentially Private Parameter-Shift Rule for Quantum Machine Learning3 Feb 2026
- 2026QUPID: A Partitioned Quantum Neural Network for Anomaly Detection in Smart Grid16 Jan 2026
- 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memory4 Dec 2025
- 2025Towards Personalized Quantum Federated Learning for Anomaly Detection8 Nov 2025
- 2025Trustworthy Quantum Machine Learning: A Roadmap for Reliability, Robustness, and Security in the NISQ Era4 Nov 2025
- 2025Adversarial Robustness in Distributed Quantum Machine Learning16 Aug 2025
- 2025Q-DPTS: Quantum Differentially Private Time Series Forecasting via Variational Quantum Circuits7 Aug 2025
- 2025Entangled Threats: A Unified Kill Chain Model for Quantum Machine Learning Security11 Jul 2025
- 2025Stochastic Quantum Spiking Neural Networks with Quantum Memory and Local Learning26 Jun 2025
18 more
- 2025Supervised Quantum Machine Learning: A Future Outlook from Qubits to Enterprise Applications30 May 2025
- 2025A Numerical Gradient Inversion Attack in Variational Quantum Neural-Networks17 Apr 2025
- 2025Adversarial Robustness of Partitioned Quantum Classifiers28 Jan 2025
- 2025Comparative Analysis of Quantum and Classical Support Vector Classifiers for Software Bug Prediction: An Exploratory Study8 Jan 2025
- 2024Quantum Adversarial Machine Learning and Defense Strategies: Challenges and Opportunities16 Dec 2024
- 2024Quantum-machine-assisted Drug Discovery24 Aug 2024
- 2024Contraction of Private Quantum Channels and Private Quantum Hypothesis Testing26 Jun 2024
- 2024Quantum Privacy Aggregation of Teacher Ensembles (QPATE) for Privacy-preserving Quantum Machine Learning15 Jan 2024
- 2023Harnessing Inherent Noises for Privacy Preservation in Quantum Machine Learning18 Dec 2023
- 2023Quantum Federated Learning With Quantum Networks23 Oct 2023
- 2023Federated Quantum Machine Learning with Differential Privacy10 Oct 2023
- 2023Application-Oriented Benchmarking of Quantum Generative Learning Using QUARK8 Aug 2023
- 2023A unifying framework for differentially private quantum algorithms10 Jul 2023
- 2023Quantum Machine Learning on Near-Term Quantum Devices: Current State of Supervised and Unsupervised Techniques for Real-World Applications3 Jul 2023
- 2023Quantum Pufferfish Privacy: A Flexible Privacy Framework for Quantum Systems22 Jun 2023
- 2022Shot-frugal and Robust quantum kernel classifiers13 Oct 2022
- 2022PQLM -- Multilingual Decentralized Portable Quantum Language Model for Privacy Protection6 Oct 2022
- 2022Quantum Differential Privacy: An Information Theory Perspective22 Feb 2022
- 2022Quantum Differential Privacy: An Information Theory Perspectivecited by 32
- 2022PQLM -- Multilingual Decentralized Portable Quantum Language Model for Privacy Protectioncited by 26
- 2023Federated Quantum Machine Learning with Differential Privacycited by 17
- 2023Quantum Machine Learning on Near-Term Quantum Devices: Current State of Supervised and Unsupervised Techniques for Real-World Applicationscited by 14
- 2023Quantum Pufferfish Privacy: A Flexible Privacy Framework for Quantum Systemscited by 9
- 2023Quantum Federated Learning With Quantum Networkscited by 8
- 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memorycited by 8
- 2024Contraction of Private Quantum Channels and Private Quantum Hypothesis Testingcited by 7
- 2023A unifying framework for differentially private quantum algorithmscited by 5
- 2025Towards Personalized Quantum Federated Learning for Anomaly Detectioncited by 4
- 2022Shot-frugal and Robust quantum kernel classifierscited by 3
- 2023Harnessing Inherent Noises for Privacy Preservation in Quantum Machine Learningcited by 3
12 most cited of 29 All 29 (JSON)
- 2026Characterizing Privacy Risks of Quantum Machine Learning with Emergent Quantum-Native Access4 Sep 2026
- 2026Q-ANCHOR: Federated Quantum Learning with ZNE-guided Correction28 May 2026
- 2026Privacy-Preserving Machine Learning for IoT: A Cross-Paradigm Survey and Future Roadmap13 Mar 2026
- 2026Q-ShiftDP: A Differentially Private Parameter-Shift Rule for Quantum Machine Learning3 Feb 2026
- 2026QUPID: A Partitioned Quantum Neural Network for Anomaly Detection in Smart Grid16 Jan 2026
- 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memory4 Dec 2025
- 2025Towards Personalized Quantum Federated Learning for Anomaly Detection8 Nov 2025
- 2025Trustworthy Quantum Machine Learning: A Roadmap for Reliability, Robustness, and Security in the NISQ Era4 Nov 2025
- 2025Adversarial Robustness in Distributed Quantum Machine Learning16 Aug 2025
- 2025Q-DPTS: Quantum Differentially Private Time Series Forecasting via Variational Quantum Circuits7 Aug 2025
- 2025Stochastic Quantum Spiking Neural Networks with Quantum Memory and Local Learning26 Jun 2025
- 2025Supervised Quantum Machine Learning: A Future Outlook from Qubits to Enterprise Applications30 May 2025
12 newest of 29 All 29 (JSON)