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Support Vector Machines (SVMs) are a cornerstone of supervised learning, widely used for data classification. A central component of their success lies in kernel functions, which enable efficient computation of inner products in…

Quantum Physics · Physics 2025-09-16 A. Mandilara , A. D. Papadopoulos , D. Syvridis

Quantum machine learning models use encoding circuits to map data into a quantum Hilbert space. While it is well known that the architecture of these circuits significantly influences core properties of the resulting model, they are often…

Quantum Physics · Physics 2025-03-03 Frederic Rapp , David A. Kreplin , Marco F. Huber , Marco Roth

Quantum kernel methods (QKMs) have emerged as a prominent framework for supervised quantum machine learning. Unlike variational quantum algorithms, which rely on gradient-based optimisation and may suffer from issues such as barren…

Quantum Physics · Physics 2026-04-10 John Tanner , Chon-Fai Kam , Jingbo Wang

Quantum machine learning is considered one of the current research fields with immense potential. In recent years, Havl\'i\v{c}ek et al. [Nature 567, 209-212 (2019)] have proposed a quantum machine learning algorithm with quantum-enhanced…

Quantum Physics · Physics 2025-06-09 Chao Ding , Shi Wang , Yaonan Wang , Weibo Gao

Quantum computing is an emerging technology that has the potential to revolutionize fields such as cryptography, machine learning, optimization, and quantum simulation. However, a major challenge in the realization of quantum algorithms on…

Quantum Physics · Physics 2023-01-31 Robert Wille , Lukas Burgholzer

We present a systematic study of how quantum circuit design, specifically the depth of the variational ansatz and the choice of quantum feature mapping, affects the performance of hybrid quantum-classical neural networks on a causal…

Quantum Physics · Physics 2026-02-10 Silvie Illésová , Tomasz Rybotycki , Piotr Gawron , Martin Beseda

Recent advancements in quantum hardware have enabled the realization of high-dimensional quantum states. This work investigates the potential of qutrits in quantum machine learning, leveraging their larger state space for enhanced…

Quantum Physics · Physics 2023-12-19 T. Valtinos , A. Mandilara , D. Syvridis

Designing efficient quantum circuits that leverage quantum advantage compared to classical computing has become increasingly critical. Genetic algorithms have shown potential in generating such circuits through artificial evolution.…

Quantum Physics · Physics 2025-01-17 Christoph Stein , Michael Färber

Quantum generative models use the intrinsic probabilistic nature of quantum mechanics to learn and reproduce complex probability distributions. In this paper, we present an implementation of a 3-qubit quantum circuit Born machine trained to…

Quantum Physics · Physics 2025-08-04 Soumyadip Sarkar

Quantum machine learning is one of the fields where quantum computers are expected to bring advantages over classical methods. However, the limited size of current computers restricts the exploitation of the full potential of quantum…

Quantum Physics · Physics 2025-11-10 Juan C. Boschero , Ward van der Schoot , Niels M. P. Neumann

Quantum kernels hold great promise for offering computational advantages over classical learners, with the effectiveness of these kernels closely tied to the design of the quantum feature map. However, the challenge of designing effective…

Quantum Physics · Physics 2024-01-23 Cong Lei , Yuxuan Du , Peng Mi , Jun Yu , Tongliang Liu

Quantum algorithms can enhance machine learning in different aspects. Here, we study quantum-enhanced least-square support vector machine (LS-SVM). Firstly, a novel quantum algorithm that uses continuous variable to assist matrix inversion…

Quantum Physics · Physics 2020-07-15 Jie Lin , Dan-Bo Zhang , Shuo Zhang , Xiang Wang , Tan Li , Wan-su Bao

Variational quantum algorithms use non-convex optimization methods to find the optimal parameters for a parametrized quantum circuit in order to solve a computational problem. The choice of the circuit ansatz, which consists of…

Quantum Physics · Physics 2024-03-13 Roeland Wiersema , Dylan Lewis , David Wierichs , Juan Carrasquilla , Nathan Killoran

In quantum kernel learning, the primary method involves using a quantum computer to calculate the inner product between feature vectors, thereby obtaining a Gram matrix used as a kernel in machine learning models such as support vector…

Quantum Physics · Physics 2024-05-17 Hiroshi Yamauchi , Tomah Sogabe , Rodney Van Meter

We show how techniques from machine learning and optimization can be used to find circuits of photonic quantum computers that perform a desired transformation between input and output states. In the simplest case of a single input state,…

Quantum kernel methods, i.e., kernel methods with quantum kernels, offer distinct advantages as a hybrid quantum-classical approach to quantum machine learning (QML), including applicability to Noisy Intermediate-Scale Quantum (NISQ)…

Quantum Physics · Physics 2022-11-29 Daniel T. Chang

We investigate variational quantum classifiers (VQCs) for land-cover classification from multispectral satellite imagery, adopting a feature-map perspective in which the quantum circuit defines a nonlinear data embedding while the readout…

The support vector machine (SVM) is a popular machine learning classification method which produces a nonlinear decision boundary in a feature space by constructing linear boundaries in a transformed Hilbert space. It is well known that…

Quantum Physics · Physics 2017-10-31 Rupak Chatterjee , Ting Yu

Hybrid quantum-classical algorithms provide ways to use noisy intermediate-scale quantum computers for practical applications. Expanding the portfolio of such techniques, we propose a quantum circuit learning algorithm that can be used to…

We propose a method for finding approximate compilations of quantum unitary transformations, based on techniques from policy gradient reinforcement learning. The choice of a stochastic policy allows us to rephrase the optimization problem…

Quantum Physics · Physics 2022-09-14 David A. Herrera-Martí