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The basic idea of quantum computing is surprisingly similar to that of kernel methods in machine learning, namely to efficiently perform computations in an intractably large Hilbert space. In this paper we explore some theoretical…

Quantum Physics · Physics 2019-02-06 Maria Schuld , Nathan Killoran

Quantum neural networks (QNNs) and quantum kernels stand as prominent figures in the realm of quantum machine learning, poised to leverage the nascent capabilities of near-term quantum computers to surmount classical machine learning…

Quantum Physics · Physics 2023-12-14 Yiming Huang , Huiyuan Wang , Yuxuan Du , Xiao Yuan

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 machine learning (QML) is the use of quantum computing for the computation of machine learning algorithms. With the prevalence and importance of classical data, a hybrid quantum-classical approach to QML is called for. Parameterized…

Quantum Physics · Physics 2022-10-18 Daniel T. Chang

Quantum machine learning (QML) is a computational paradigm that seeks to apply quantum-mechanical resources to solve learning problems. As such, the goal of this framework is to leverage quantum processors to tackle optimization,…

Quantum Physics · Physics 2025-11-21 Su Yeon Chang , M. Cerezo

Rydberg atom arrays are a leading platform for quantum computing and simulation, combining strong interactions with highly coherent operations and flexible geometries. However, the achievable fidelities are limited by the finite lifetime of…

Quantum Physics · Physics 2021-08-11 Sam R. Cohen , Jeff D. Thompson

Autonomous materials science, where active learning is used to navigate large compositional phase space, has emerged as a powerful vehicle to rapidly explore new materials. A crucial aspect of autonomous materials science is exploring new…

Materials Science · Physics 2026-01-21 Felix Adams , Daiwei Zhu , David W. Steuerman , A. Gilad Kusne , Ichiro Takeuchi

One of the most natural connections between quantum and classical machine learning has been established in the context of kernel methods. Kernel methods rely on kernels, which are inner products of feature vectors living in large feature…

Quantum Physics · Physics 2024-04-10 Elies Gil-Fuster , Jens Eisert , Vedran Dunjko

Recent advancements in quantum computing (QC) and machine learning (ML) have garnered significant attention, leading to substantial efforts toward the development of quantum machine learning (QML) algorithms to address a variety of complex…

Quantum Physics · Physics 2024-12-18 Samuel Yen-Chi Chen

Amorphous solids, i.e., systems which feature well-defined short-range properties but lack long-range order, constitute an important research topic in condensed matter. While their microscopic structure is known to differ from their…

Quantum Gases · Physics 2024-08-23 Sergi Julià-Farré , Joseph Vovrosh , Alexandre Dauphin

Quantum reservoir computing offers a promising route for time series learning by modelling sequential data via rich quantum dynamics while the only training required happens at the level of a lightweight classical readout. However, studies…

Machine Learning · Computer Science 2026-02-17 Abdallah Aaraba , Soumaya Cherkaoui , Ola Ahmad , Shengrui Wang

Kernel methods have a wide spectrum of applications in machine learning. Recently, a link between quantum computing and kernel theory has been formally established, opening up opportunities for quantum techniques to enhance various existing…

Quantum Physics · Physics 2020-03-25 Carsten Blank , Daniel K. Park , June-Koo Kevin Rhee , Francesco Petruccione

Operating on the principles of quantum mechanics, quantum algorithms hold the promise for solving problems that are beyond the reach of the best-available classical algorithms. An integral part of realizing such speedup is the…

Quantum Physics · Physics 2023-10-03 Shifan Xu , Connor T. Hann , Ben Foxman , Steven M. Girvin , Yongshan Ding

Errors in the current generation of quantum processors pose a significant challenge towards practical-scale implementations of quantum machine learning (QML) as they lead to trainability issues arising from noise-induced barren plateaus, as…

Quantum Physics · Physics 2025-12-11 Haiyue Kang , Younghun Kim , Eromanga Adermann , Martin Sevior , Muhammad Usman

Quantum computers hold promise to enable efficient simulations of the properties of molecules and materials; however, at present they only permit ab initio calculations of a few atoms, due to a limited number of qubits. In order to harness…

Materials Science · Physics 2020-07-07 He Ma , Marco Govoni , Giulia Galli

The emergence of Quantum Machine Learning (QML) to enhance traditional classical learning methods has seen various limitations to its realisation. There is therefore an imperative to develop quantum models with unique model hypotheses to…

Quantum Physics · Physics 2023-02-21 Maiyuren Srikumar , Charles D. Hill , Lloyd C. L. Hollenberg

Recently, quantum neural networks or quantum-classical neural networks (qcNN) have been actively studied, as a possible alternative to the conventional classical neural network (cNN), but their practical and theoretically-guaranteed…

Quantum Physics · Physics 2023-12-12 Kouhei Nakaji , Hiroyuki Tezuka , Naoki Yamamoto

Quantum Key Distribution (QKD) offers theoretically unbreakable security by leveraging quantum mechanics. However, practical implementation is challenged by environmental vulnerabilities, noise, and hardware imperfections. Recently, Machine…

Quantum Physics · Physics 2026-03-10 Ali Al-Kuwari , Safaa Alqrinawi , Lujayn Al-Amir , Amina Mollazehi , Saif Al-Kuwari

Quantum systems have an exponentially large degree of freedom in the number of particles and hence provide a rich dynamics that could not be simulated on conventional computers. Quantum reservoir computing is an approach to use such a…

Quantum Physics · Physics 2020-11-11 Keisuke Fujii , Kohei Nakajima

We employ so-called quantum kernel estimation to exploit complex quantum dynamics of solid-state nuclear magnetic resonance for machine learning. We propose to map an input to a feature space by input-dependent Hamiltonian evolution, and…

Quantum Physics · Physics 2022-03-14 Takeru Kusumoto , Kosuke Mitarai , Keisuke Fujii , Masahiro Kitagawa , Makoto Negoro
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