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Interpretable machine learning techniques are becoming essential tools for extracting physical insights from complex quantum data. We build on recent advances in variational autoencoders to demonstrate that such models can learn physically…

Convolutional neural networks (CNNs) have rapidly risen in popularity for many machine learning applications, particularly in the field of image recognition. Much of the benefit generated from these networks comes from their ability to…

Quantum Physics · Physics 2019-04-10 Maxwell Henderson , Samriddhi Shakya , Shashindra Pradhan , Tristan Cook

Quantum machine learning is receiving significant attention currently, but its usefulness in comparison to classical machine learning techniques for practical applications remains unclear. However, there are indications that certain quantum…

Computational models are quantitative representations of systems. By analyzing and comparing the outputs of such models, it is possible to gain a better understanding of the system itself. Though as the complexity of model outputs…

Machine Learning · Computer Science 2022-12-13 Colin G. Cess , Stacey D. Finley

Quantum machine learning has the potential to enable advances in artificial intelligence, such as solving problems intractable on classical computers. Some fundamental ideas behind quantum machine learning are similar to kernel methods in…

Quantum Physics · Physics 2023-08-15 Samuel Bosch , Bobak Kiani , Rui Yang , Adrian Lupascu , Seth Lloyd

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential complexity of many-body systems by capturing only the most…

Machine Learning · Computer Science 2026-04-17 Guillermo Valverde , Igor García-Olaizola , Giannicola Scarpa , Alejandro Pozas-Kerstjens

We propose a novel approach to image classification inspired by complex nonlinear biological visual processing, whereby classical convolutional neural networks (CNNs) are equipped with learnable higher-order convolutions. Our model…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Simone Azeglio , Olivier Marre , Peter Neri , Ulisse Ferrari

As the rapidly evolving field of machine learning continues to produce incredibly useful tools and models, the potential for quantum computing to provide speed up for machine learning algorithms is becoming increasingly desirable. In…

Quantum Physics · Physics 2024-04-02 Anthony M. Smaldone , Gregory W. Kyro , Victor S. Batista

Image classification, a pivotal task in multiple industries, faces computational challenges due to the burgeoning volume of visual data. This research addresses these challenges by introducing two quantum machine learning models that…

Quantum Physics · Physics 2024-03-29 Arsenii Senokosov , Alexandr Sedykh , Asel Sagingalieva , Basil Kyriacou , Alexey Melnikov

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

With near-term quantum devices available and the race for fault-tolerant quantum computers in full swing, researchers became interested in the question of what happens if we replace a supervised machine learning model with a quantum…

Quantum Physics · Physics 2021-04-20 Maria Schuld

Convolutional neural networks (CNNs) are one of the most successful computer vision systems to solve object recognition. Furthermore, CNNs have major applications in understanding the nature of visual representations in the human brain. Yet…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Amr Farahat , Felix Effenberger , Martin Vinck

Machine learning is capable of discriminating phases of matter, and finding associated phase transitions, directly from large data sets of raw state configurations. In the context of condensed matter physics, most progress in the field of…

Statistical Mechanics · Physics 2017-12-06 Pedro Ponte , Roger G. Melko

We compare the performance of randomized classical and quantum neural networks (NNs) as well as classical and quantum-classical hybrid convolutional neural networks (CNNs) for the task of supervised binary image classification. We keep the…

Quantum Physics · Physics 2025-11-24 Daniel Basilewitsch , João F. Bravo , Christian Tutschku , Frederick Struckmeier

Neural quantum states (NQS) have emerged as a powerful variational ansatz for representing quantum many-body wave functions. Their internal mechanisms, however, remain poorly understood. We investigate the role of correlations for NQS-like…

Quantum Physics · Physics 2025-08-21 Fabian Döschl , Annabelle Bohrdt

Deep learning architectures based on convolutional neural networks tend to rely on continuous, smooth features. While this characteristics provides significant robustness and proves useful in many real-world tasks, it is strikingly…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zuzanna Buchnajzer , Kacper Dobek , Stanisław Hapke , Daniel Jankowski , Krzysztof Krawiec

Convolutional neural networks (CNNs) are widely used in many image recognition tasks due to their extraordinary performance. However, training a good CNN model can still be a challenging task. In a training process, a CNN model typically…

Machine Learning · Computer Science 2017-10-17 Haipeng Zeng , Hammad Haleem , Xavier Plantaz , Nan Cao , Huamin Qu

A major challenge in quantum information is characterizing entanglement, for which entanglement witnesses offer effective means of detecting quantum correlations. We introduce a hybrid quantum-classical framework that learns a nonlinear…

Quantum Physics · Physics 2025-09-09 Mohammad Rezaei Shokou , Hossein Davoodi Yeganeh

Interpretability of machine learning is defined as the extent to which humans can comprehend the reason of a decision. However, a neural network is not considered interpretable due to the ambiguity in its decision-making process. Therefore,…

Machine Learning · Computer Science 2020-03-30 Yusuke Kubo , Yuto Komori , Toyonobu Okuyama , Hiroshi Tokieda

Modern machine learning (ML) systems excel in recognising and classifying images with remarkable accuracy. However, like many computer software systems, they can fail by generating confusing or erroneous outputs or by deferring to human…

Machine Learning · Computer Science 2024-12-12 Milan Maksimovic , Ivan S. Maksymov