A Survey of Quantum Learning Theory
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Abstract (arXiv)
This paper surveys quantum learning theory: the theoretical aspects of machine learning using quantum computers. We describe the main results known for three models of learning: exact learning from membership queries, and Probably Approximately Correct (PAC) and agnostic learning from classical or quantum examples.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). First posted on arXiv 24 Jan 2017.
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Citing papers per year: 2022: 2; 2023: 3; 2024: 5; 2025: 1.
11 papers.
- 2023On the average-case complexity of learning output distributions of quantum circuitscited by 9
- 2024Quantum Vision Transformers for Quark-Gluon Classificationcited by 7
- 2022Optimal quantum dataset for learning a unitary transformationcited by 6
- 2024Inference, interference and invariance: How the Quantum Fourier Transform can help to learn from datacited by 5
- 2023Generative Invertible Quantum Neural Networkscited by 3
- 2022Quantum Semi-Supervised Kernel Learningcited by 0
- 2023Fat Shattering, Joint Measurability, and PAC Learnability of POVM Hypothesis Classescited by 0
- 2024Quantum Reinforcement Learning in Non-Abelian Environments: Unveiling Novel Formulations and Quantum Advantage Explorationcited by 0
- 2024New Bounds on Quantum Sample Complexity of Measurement Classescited by 0
- 2024Lie-Equivariant Quantum Graph Neural Networkscited by 0
- 2025Hybrid Quantum-Classical Selective State Space Artificial Intelligencecited by 0
- 2025Hybrid Quantum-Classical Selective State Space Artificial Intelligence11 Nov 2025
- 2024Lie-Equivariant Quantum Graph Neural Networks22 Nov 2024
- 2024Inference, interference and invariance: How the Quantum Fourier Transform can help to learn from data30 Aug 2024
- 2024New Bounds on Quantum Sample Complexity of Measurement Classes22 Aug 2024
- 2024Quantum Vision Transformers for Quark-Gluon Classification16 May 2024
- 2024Quantum Reinforcement Learning in Non-Abelian Environments: Unveiling Novel Formulations and Quantum Advantage Exploration11 Apr 2024
- 2023Fat Shattering, Joint Measurability, and PAC Learnability of POVM Hypothesis Classes21 Aug 2023
- 2023On the average-case complexity of learning output distributions of quantum circuits9 May 2023
- 2023Generative Invertible Quantum Neural Networks24 Feb 2023
- 2022Quantum Semi-Supervised Kernel Learning22 Apr 2022
- 2022Optimal quantum dataset for learning a unitary transformation1 Mar 2022