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The rapid progress in quantum computing (QC) and machine learning (ML) has attracted growing attention, prompting extensive research into quantum machine learning (QML) algorithms to solve diverse and complex problems. Designing…

Quantum Physics · Physics 2025-01-13 Samuel Yen-Chi Chen , Huan-Hsin Tseng , Hsin-Yi Lin , Shinjae Yoo

Incorporating inductive biases into ML models is an active area of ML research, especially when ML models are applied to data about the physical world. Equivariant Graph Neural Networks (GNNs) have recently become a popular method for…

Machine Learning · Computer Science 2023-11-07 Savannah Thais , Daniel Murnane

Neural networks are a promising tool for simulating quantum many body systems. Recently, it has been shown that neural network-based models describe quantum many body systems more accurately when they are constrained to have the correct…

Quantum Physics · Physics 2021-06-01 Christopher Roth , Allan H. MacDonald

Quantum machine learning (QML) is rapidly transitioning from theoretical promise to practical relevance across data-intensive scientific domains. In this Review, we provide a structured overview of recent advances that bridge foundational…

Quantum Physics · Physics 2026-02-25 Vinit Singh , Amandeep Singh Bhatia , Mandeep Kaur Saggi , Manas Sajjan , Sabre Kais

Quantum machine learning (QML) networks promise to have some computational (or quantum) advantage for classifying supervised datasets (e.g., satellite images) over some conventional deep learning (DL) techniques due to their expressive…

Quantum Physics · Physics 2023-09-21 Soronzonbold Otgonbaatar , Gottfried Schwarz , Mihai Datcu , Dieter Kranzlmüller

The field of quantum machine learning (QML) explores how quantum computers can be used to more efficiently solve machine learning problems. As an application of hybrid quantum-classical algorithms, it promises a potential quantum advantages…

Quantum Physics · Physics 2022-10-24 Mark Koch

Quantum neural networks (QNNs) are a framework for creating quantum algorithms that promises to combine the speedups of quantum computation with the widespread successes of machine learning. A major challenge in QNN development is a…

Quantum Physics · Physics 2021-06-18 Maria Kieferova , Ortiz Marrero Carlos , Nathan Wiebe

In hierarchal order of molecular geometry, we compare the performances of Geometric Quantum Machine Learning models. Two molecular datasets are considered: the simplistic linear shaped LiH-molecule and the trigonal pyramidal molecule NH3.…

Machine Learning · Computer Science 2025-12-08 Saumya Biswas , Jiten Oswal

Embedded quantum machine learning (EQML) seeks to bring quantum machine learning (QML) capabilities to resource-constrained edge platforms such as IoT nodes, wearables, drones, and cyber-physical controllers. In 2026, EQML is technically…

Machine Learning · Computer Science 2026-03-16 Somdip Dey , Syed Muhammad Raza

Quantum Graph Neural Networks (QGNNs) represent a novel fusion of quantum computing and Graph Neural Networks (GNNs), aimed at overcoming the computational and scalability challenges inherent in classical GNNs that are powerful tools for…

Convex quadratically constrained quadratic programs (QCQPs) involve finding a solution within a convex feasible region defined by quadratic constraints while minimizing a convex quadratic objective function. These problems arise in various…

Optimization and Control · Mathematics 2025-11-25 Chenyang Wu , Qian Chen , Akang Wang , Tian Ding , Ruoyu Sun , Wenguo Yang , Qingjiang Shi

Equivariant quantum neural networks (QNNs) are promising variational models that exploit symmetries to improve machine learning capabilities. Despite theoretical developments in equivariant QNNs, their implementation on near-term quantum…

Quantum Physics · Physics 2026-04-20 Koki Chinzei , Quoc Hoan Tran , Yasuhiro Endo , Hirotaka Oshima

Quantum and classical machine learning have been naturally connected through kernel methods, which have also served as proof-of-concept for quantum advantage. Quantum embeddings encode classical data into quantum feature states, enabling…

Quantum Physics · Physics 2025-07-01 Pablo Rodriguez-Grasa , Yue Ban , Mikel Sanz

One of the most important properties of classical neural networks is how surprisingly trainable they are, though their training algorithms typically rely on optimizing complicated, nonconvex loss functions. Previous results have shown that…

Quantum Physics · Physics 2022-12-16 Eric R. Anschuetz , Bobak T. Kiani

Practical Quantum Machine Learning (QML) is challenged by noise, limited scalability, and poor trainability in Variational Quantum Circuits (VQCs) on current hardware. We propose a multi-chip ensemble VQC framework that systematically…

Machine Learning · Computer Science 2025-05-21 Junghoon Justin Park , Jiook Cha , Samuel Yen-Chi Chen , Huan-Hsin Tseng , Shinjae Yoo

Quantum theory has shown its superiority in enhancing machine learning. However, facilitating quantum theory to enhance graph learning is in its infancy. This survey investigates the current advances in quantum graph learning (QGL) from…

Machine Learning · Computer Science 2023-02-03 Shuo Yu , Ciyuan Peng , Yingbo Wang , Ahsan Shehzad , Feng Xia , Edwin R. Hancock

Quantum Convolutional Neural Networks (QCNNs) are widely regarded as a promising model for Quantum Machine Learning (QML). In this work we tie their heuristic success to two facts. First, that when randomly initialized, they can only…

Quantum Physics · Physics 2026-04-07 Pablo Bermejo , Paolo Braccia , Manuel S. Rudolph , Zoë Holmes , Lukasz Cincio , M. Cerezo

Quantum machine learning (QML) is an emerging field that investigates the capabilities of quantum computers for learning tasks. While QML models can theoretically offer advantages such as exponential speed-ups, challenges in data loading…

Quantum Physics · Physics 2025-11-03 Florian J. Kiwit , Bernhard Jobst , Andre Luckow , Frank Pollmann , Carlos A. Riofrío

The past decade has witnessed significant advancements in quantum hardware, encompassing improvements in speed, qubit quantity, and quantum volume-a metric defining the maximum size of a quantum circuit effectively implementable on…

Quantum Physics · Physics 2024-06-11 Yaswitha Gujju , Atsushi Matsuo , Rudy Raymond

Quantum computers are next-generation devices that hold promise to perform calculations beyond the reach of classical computers. A leading method towards achieving this goal is through quantum machine learning, especially quantum generative…