mlsanityData to 7 Oct 2026

Entangled Datasets for Quantum Machine Learning

arXiv 2109.03400 ↗First posted 8 Sep 2021quant-ph cs.LG stat.MLcited by 26

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Abstract (arXiv)

High-quality, large-scale datasets have played a crucial role in the development and success of classical machine learning. Quantum Machine Learning (QML) is a new field that aims to use quantum computers for data analysis, with the hope of obtaining a quantum advantage of some sort. While most proposed QML architectures are benchmarked using classical datasets, there is still doubt whether QML on classical datasets will achieve such an advantage. In this work, we argue that one should instead employ quantum datasets composed of quantum states. For this purpose, we introduce the NTangled dataset composed of quantum states with different amounts and types of multipartite entanglement. We first show how a quantum neural network can be trained to generate the states in the NTangled dataset. Then, we use the NTangled dataset to benchmark QML models for supervised learning classification tasks. We also consider an alternative entanglement-based dataset, which is scalable and is composed of states prepared by quantum circuits with different depths. As a byproduct of our results, we introduce a novel method for generating multipartite entangled states, providing a use-case of quantum neural networks for quantum entanglement theory.

Key facts. Cited by 26 papers in the map (data through 7 Oct 2026). Builds on 25 of its 90 references that are in the map. First posted on arXiv 8 Sep 2021.

Builds on

25 of 90 references.

References · 25

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2020Variational Quantum Algorithmscited by 687
  3. 2018Supervised learning with quantum enhanced feature spacescited by 654
  4. 2018Barren plateaus in quantum neural network training landscapescited by 624
  5. 2020The power of quantum neural networkscited by 377
  6. 2020Power of data in quantum machine learningcited by 336
  7. 2020The effect of data encoding on the expressive power of variational quantum machine learning modelscited by 328
  8. 2020Noise-Induced Barren Plateaus in Variational Quantum Algorithmscited by 192
  9. 2021Connecting ansatz expressibility to gradient magnitudes and barren plateauscited by 180
  10. 2019Efficient Learning for Deep Quantum Neural Networkscited by 160
  11. 2020Absence of Barren Plateaus in Quantum Convolutional Neural Networkscited by 124
  12. 2020Entanglement Induced Barren Plateauscited by 101
13 more
  1. 2021Information-theoretic bounds on quantum advantage in machine learningcited by 95
  2. 2020Robust data encodings for quantum classifierscited by 91
  3. 2021Provably efficient machine learning for quantum many-body problemscited by 91
  4. 2021The Inductive Bias of Quantum Kernelscited by 90
  5. 2020Effect of barren plateaus on gradient-free optimizationcited by 79
  6. 2018Continuous-variable quantum neural networkscited by 74
  7. 2020Trainability of Dissipative Perceptron-Based Quantum Neural Networkscited by 56
  8. 2021Equivalence of quantum barren plateaus to cost concentration and narrow gorgescited by 53
  9. 2019ProteinNet: a standardized data set for machine learning of protein structurecited by 39
  10. 2018Quantum principal component analysis only achieves an exponential speedup because of its state preparation assumptionscited by 34
  11. 2020Reformulation of the No-Free-Lunch Theorem for Entangled Data Setscited by 28
  12. 2019Machine Learning Phase Transitions with a Quantum Processorcited by 13
  13. 2021Generalization in Quantum Machine Learning: a Quantum Information Perspectivecited by 11

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 3; 2022: 9; 2023: 8; 2024: 3; 2025: 2; 2026: 1.

26 papers.

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  1. 2021Generalization in quantum machine learning from few training datacited by 214
  2. 2023Challenges and Opportunities in Quantum Machine Learningcited by 202
  3. 2021Theory of overparametrization in quantum neural networkscited by 100
  4. 2024Better than classical? The subtle art of benchmarking quantum machine learning modelscited by 82
  5. 2022Theory for Equivariant Quantum Neural Networkscited by 60
  6. 2022Group-Invariant Quantum Machine Learningcited by 56
  7. 2022Theoretical Guarantees for Permutation-Equivariant Quantum Neural Networkscited by 52
  8. 2022Escaping from the Barren Plateau via Gaussian Initializations in Deep Variational Quantum Circuitscited by 42
  9. 2022Representation Theory for Geometric Quantum Machine Learningcited by 40
  10. 2021Subtleties in the trainability of quantum machine learning modelscited by 33
  11. 2023A Survey on Quantum Machine Learning: Current Trends, Challenges, Opportunities, and the Road Aheadcited by 29
  12. 2024QCircuitBench: A Large-Scale Dataset for Benchmarking Quantum Algorithm Designcited by 14
14 more
  1. 2023Quantum neural networks form Gaussian processescited by 11
  2. 2022Scalable Quantum Neural Networks for Classificationcited by 6
  3. 2023What can we learn from quantum convolutional neural networks?cited by 6
  4. 2023Transition Role of Entangled Data in Quantum Machine Learningcited by 5
  5. 2025Experimentally validated quantum-secure federated learning over a multi-user quantum networkcited by 5
  6. 2023Variational Denoising for Variational Quantum Eigensolvercited by 4
  7. 2025QuFeX: Quantum feature extraction module for hybrid quantum-classical deep neural networkscited by 4
  8. 2023MNISQ: A Large-Scale Quantum Circuit Dataset for Machine Learning on/for Quantum Computers in the NISQ eracited by 3
  9. 2022Quantum continual learning of quantum data realizing knowledge backward transfercited by 2
  10. 2022Identification of quantum entanglement with Siamese convolutional neural networks and semi-supervised learningcited by 2
  11. 2023A Post-Training Approach for Mitigating Overfitting in Quantum Convolutional Neural Networkscited by 1
  12. 2022Microscopy is All You Needcited by 0
  13. 2024Computable Model-Independent Bounds for Adversarial Quantum Machine Learningcited by 0
  14. 2026Ravines in quantum cost landscapes: opportunities for improved VQA predictionscited by 0