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In this work, we propose novel families of positional encodings tailored to graph neural networks obtained with quantum computers. These encodings leverage the long-range correlations inherent in quantum systems that arise from mapping the…

Quantum machine learning is a fast-emerging field that aims to tackle machine learning using quantum algorithms and quantum computing. Due to the lack of physical qubits and an effective means to map real-world data from Euclidean space to…

Quantum Physics · Physics 2024-01-22 Xing Ai , Zhihong Zhang , Luzhe Sun , Junchi Yan , Edwin Hancock

Quantum algorithms based on quantum kernel methods have been investigated previously [1]. A quantum advantage is derived from the fact that it is possible to construct a family of datasets for which, only quantum processing can recognise…

Quantum Physics · Physics 2024-05-08 Sanjeev Naguleswaran

Quantum Kernel Estimation (QKE) is a technique based on leveraging a quantum computer to estimate a kernel function that is classically difficult to calculate, which is then used by a classical computer for training a Support Vector Machine…

Quantum Physics · Physics 2023-08-01 Marco Russo , Edoardo Giusto , Bartolomeo Montrucchio

Quantum Graph Neural Networks (QGNNs) offer a promising approach to combining quantum computing with graph-structured data processing. While classical Graph Neural Networks (GNNs) are scalable and robust, existing QGNNs often lack…

Quantum Physics · Physics 2026-01-13 Arthur M. Faria , Ignacio F. Graña , Savvas Varsamopoulos

Graph Neural Networks (GNNs) are powerful machine learning models that excel at analyzing structured data represented as graphs, demonstrating remarkable performance in applications like social network analysis and recommendation systems.…

Quantum Physics · Physics 2024-05-28 Yidong Liao , Xiao-Ming Zhang , Chris Ferrie

The manipulation of neutral atoms by light is at the heart of countless scientific discoveries in the field of quantum physics in the last three decades. The level of control that has been achieved at the single particle level within arrays…

Quantum walks are at the heart of modern quantum technologies. They allow to deal with quantum transport phenomena and are an advanced tool for constructing novel quantum algorithms. Quantum walks on graphs are fundamentally different from…

Quantum Physics · Physics 2019-12-18 Alexey A. Melnikov , Leonid E. Fedichkin , Alexander Alodjants

We introduce Quantum Graph Attention Networks (QGATs) as trainable quantum encoders for inductive learning on graphs, extending the Quantum Graph Neural Networks (QGNN) framework. QGATs leverage parameterized quantum circuits to encode node…

Quantum Physics · Physics 2025-09-16 Arthur M. Faria , Mehdi Djellabi , Igor O. Sokolov , Savvas Varsamopoulos

We study a practical question in generative quantum machine learning: given a classical dataset, can we determine, before training, whether it is well suited to a quantum generative model? We focus on a class of quantum circuits known as…

Machine Learning · Computer Science 2026-05-06 Chen-Yu Liu , Leonardo Placidi , Eric Brunner , Enrico Rinaldi

Modern cyberattacks are increasingly complex, posing significant challenges to classical machine learning methods, particularly when labeled data is limited and feature interactions are highly non-linear. In this study we investigates the…

Cryptography and Security · Computer Science 2026-01-06 Jessica A. Sciammarelli , Waqas Ahmed

Quantum kernels hold significant promise for achieving computational advantages in quantum machine learning (QML), yet their effectiveness critically depends on the design of expressive and hardware-compatible feature maps, a challenge that…

Quantum Physics · Physics 2026-04-21 Fanxu Meng , Yuxiang Liu , Lu Wang , Sixuan Li , Xutao Yu , Zaichen Zhang

We introduce a new graphical framework for designing quantum error correction codes based on classical principles. A key feature of this graphical language, over previous approaches, is that it is closely related to that of factor graphs or…

Quantum Physics · Physics 2020-02-11 Joschka Roffe , Stefan Zohren , Dominic Horsman , Nicholas Chancellor

Quantum machine learning models that leverage quantum circuits as quantum feature maps (QFMs) are recognized for their enhanced expressive power in learning tasks. Such models have demonstrated rigorous end-to-end quantum speedups for…

Quantum Physics · Physics 2026-04-29 Nasa Matsumoto , Quoc Hoan Tran , Koki Chinzei , Yasuhiro Endo , Hirotaka Oshima

Quantum computing is the process of performing calculations using quantum mechanics. This field studies the quantum behavior of certain subatomic particles for subsequent use in performing calculations, as well as for large-scale…

Quantum Physics · Physics 2023-12-07 David Peral García , Juan Cruz-Benito , Francisco José García-Peñalvo

On neutral atom platforms, preparing specific quantum states is usually achieved by pulse shaping, i.e., by optimizing the time-dependence of the Hamiltonian related to the system. This process can be extremely costly, as it requires…

Quantum Physics · Physics 2022-08-03 Wesley da Silva Coelho , Mauro D'Arcangelo , Louis-Paul Henry

The importance of analyzing nontrivial datasets when testing quantum machine learning (QML) models is becoming increasingly prominent in literature, yet a cohesive framework for understanding dataset characteristics remains elusive. In this…

Quantum Physics · Physics 2025-08-28 Alona Sakhnenko , Christian B. Mendl , Jeanette M. Lorenz

Transformers are increasingly employed for graph data, demonstrating competitive performance in diverse tasks. To incorporate graph information into these models, it is essential to enhance node and edge features with positional encodings.…

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

Quantum feature maps are a key component of quantum machine learning, encoding classical data into quantum states to exploit the expressive power of high-dimensional Hilbert spaces. Despite their theoretical promise, designing quantum…

Quantum Physics · Physics 2026-03-25 Kenya Sakka , Kosuke Mitarai , Keisuke Fujii