Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Materials Today Proceedings

Quantum learning theory: A classical perspective for quantum image

Sanjay Singh, M. Thurai Pandian, Ankur Kumar Aggarwal, Satya Prakash Awasthi, Hanu Bhardwaj, Jyoti Pruthi

Published Jul 17, 2021• 7 citations
Publisher
DOI
10.1016/j.matpr.2021.07.039

Related papers

Theory, expressivity, and learning bounds

Andrea Delgado, Kathleen E. Hamilton

This chapter explores the theoretical underpinnings of quantum machine learning, focusing on model expressivity, generalization bounds, and learning complexity. It contrasts classical and quantum hypothesis classes, presents formal results from quantum learning theory, and identifies key challenges such as barren plateaus and noise sensitivity. The discussion integrates rigorous bounds with practical considerations, offering a comprehensive perspective on when and how quantum models may outperform classical ones. Open problems and research directions are outlined to guide future work, emphasizing the importance of connecting theoretical insights with scalable, hardware-aware quantum learning applications.

Institute of Physics eBooks•Dec 1, 2025•0 citations

Quantum Image Understanding

Fei Yan, Salvador Elías Venegas-Andraca

Springer eBooks•Jan 1, 2020•0 citations

Quantum Machine Learning Applications to Medical Images: A Survey

Mahua Nandy Pal, Debashis De, Dipankar Hazra

ABSTRACT Classical deep learning achieves high accuracy in image analysis tasks but require large volume of data for generalisation. Medical image datasets are often small and expensive to annotate. Arguably, quantum machine learning (QML) has the following benefits over classical machine learning (ML). (i) Quantum superposition and entanglement allow quantum machines to excel over the computational competence of classical computers. (ii) By parallel processing, QML solves problems faster. (iii) QML produces promising results with limited‐size image datasets and limited‐parameter circuits. The practical advantages of QML over classical methods are still emerging and not consistent across all application domains. Ongoing research in quantum hardware and algorithms are expected to bridge this gap. In this review, we provide an outline of quantum neural networks, quantum convolution neural networks and various hybrid models characterised by continuous learning. We also explore human brain‐inspired quantum neuromorphic computing using quantum spiking neural networks, characterised by learning from discrete neuromorphic spikes. We discuss quantum circuits, used for different medical image applications, from the perspectives of the circuit topology, the numbers of input and measurement qubits and rotation and entanglement gates. Furthermore, we conducted a systematic review of the literature on QML‐based medical image applications, datasets and benchmarks, and the analysis of the research gap separately indicating possible improvement opportunities.

IET Quantum Communication•Jan 1, 2026•1 citation

Quantum Learning Model

GÜLAY ERDEM, NALAN BALKIR

•May 26, 2005•0 citations

Quantum Learning and Quantum Perceptrons

Jean-Christophe Gomez-Lavocat

•Jan 1, 2009•1 citation

Toward structure-preserving quantum encodings

Arthur J. Parzygnat, Tai-Danae Bradley, Andrew Vlasic +1 more

Harnessing the potential computational advantage of quantum computers for machine learning tasks relies on the uploading of classical data onto quantum computers through what are commonly referred to as quantum encodings. The choice of such encodings may vary substantially from one task to another, and there exist only a few cases where structure has provided insight into their design and implementation, such as symmetry in geometric quantum learning. Here, we propose the perspective that category theory offers a natural mathematical framework for analyzing encodings that respect structure inherent in datasets and learning tasks. We illustrate this with pedagogical examples, which include geometric quantum machine learning, quantum metric learning, topological data analysis, and more. Moreover, such a perspective provides a language in which to ask meaningful and mathematically precise questions for the design of quantum encodings and circuits for quantum machine learning tasks.

arXiv:2412.17772•Physical Review Research•Oct 21, 2025•0 citations
This chapter explores the theoretical underpinnings of quantum machine learning, focusing on model expressivity, generalization bounds, and learning complexity. It contrasts classical and quantum hypothesis classes, presents formal results from quantum learning theory, and identifies key challenges such as barren plateaus and noise sensitivity. The discussion integrates rigorous bounds with practical considerations, offering a comprehensive perspective on when and how quantum models may outperform classical ones. Open problems and research directions are outlined to guide future work, emphasizing the importance of connecting theoretical insights with scalable, hardware-aware quantum learning applications.
ABSTRACT Classical deep learning achieves high accuracy in image analysis tasks but require large volume of data for generalisation. Medical image datasets are often small and expensive to annotate. Arguably, quantum machine learning (QML) has the following benefits over classical machine learning (ML). (i) Quantum superposition and entanglement allow quantum machines to excel over the computational competence of classical computers. (ii) By parallel processing, QML solves problems faster. (iii) QML produces promising results with limited‐size image datasets and limited‐parameter circuits. The practical advantages of QML over classical methods are still emerging and not consistent across all application domains. Ongoing research in quantum hardware and algorithms are expected to bridge this gap. In this review, we provide an outline of quantum neural networks, quantum convolution neural networks and various hybrid models characterised by continuous learning. We also explore human brain‐inspired quantum neuromorphic computing using quantum spiking neural networks, characterised by learning from discrete neuromorphic spikes. We discuss quantum circuits, used for different medical image applications, from the perspectives of the circuit topology, the numbers of input and measurement qubits and rotation and entanglement gates. Furthermore, we conducted a systematic review of the literature on QML‐based medical image applications, datasets and benchmarks, and the analysis of the research gap separately indicating possible improvement opportunities.
Harnessing the potential computational advantage of quantum computers for machine learning tasks relies on the uploading of classical data onto quantum computers through what are commonly referred to as quantum encodings. The choice of such encodings may vary substantially from one task to another, and there exist only a few cases where structure has provided insight into their design and implementation, such as symmetry in geometric quantum learning. Here, we propose the perspective that category theory offers a natural mathematical framework for analyzing encodings that respect structure inherent in datasets and learning tasks. We illustrate this with pedagogical examples, which include geometric quantum machine learning, quantum metric learning, topological data analysis, and more. Moreover, such a perspective provides a language in which to ask meaningful and mathematically precise questions for the design of quantum encodings and circuits for quantum machine learning tasks.