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The development of quantum technologies relies on creating and manipulating quantum systems of increasing complexity, with key applications in computation, simulation, and sensing. This poses severe challenges in efficient control,…

Quantum Physics · Physics 2025-09-09 Hailan Ma , Bo Qi , Ian R. Petersen , Re-Bing Wu , Herschel Rabitz , Daoyi Dong

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

As quantum computing (QC) continues to evolve in hardware and software, measuring progress in this complex and diverse field remains a challenge. To track progress, uncover bottlenecks, and evaluate community efforts, benchmarks play a…

Convolutional Neural Networks (CNNs) have shown promising results in efficiency and accuracy in image classification. However, their efficacy often relies on large, labeled datasets, posing challenges for applications with limited data…

Machine Learning · Computer Science 2026-01-08 A. M. A. S. D. Alagiyawanna , Asoka Karunananda , A. Mahasinghe , Thushari Silva

Amidst the array of quantum machine learning algorithms, the quantum kernel method has emerged as a focal point, primarily owing to its compatibility with noisy intermediate-scale quantum devices and its promise to achieve quantum…

Quantum Physics · Physics 2024-09-13 Shahram Dehdashti , Prayag Tiwari , Kareem H. El Safty , Peter Bruza , Janis Notzel

Reliable identification of molecular biomarkers is essential for accurate patient stratification. While state-of-the-art machine learning approaches for sample classification continue to push boundaries in terms of performance, most of…

Molecular Networks · Quantitative Biology 2019-11-07 Matteo Manica , Joris Cadow , Roland Mathis , María Rodríguez Martínez

The Kernel Polynomial Method (KPM) is a well-established scheme in quantum physics and quantum chemistry to determine the eigenvalue density and spectral properties of large sparse matrices. In this work we demonstrate the high optimization…

Computational Engineering, Finance, and Science · Computer Science 2015-07-30 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Andreas Pieper , Andreas Alvermann , Holger Fehske

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

The technological development of increasingly larger quantum processors on different quantum platforms raises the problem of how to fairly compare their performance, known as quantum benchmarking of quantum processors. This is a challenge…

Quantum Physics · Physics 2026-03-11 Arturo Acuaviva , David Aguirre , Rubén Peña , Mikel Sanz

Quantum processors may enhance machine learning by mapping high-dimensional data onto quantum systems for processing. Conventional feature maps, for encoding data onto a quantum circuit are currently impractical, as the number of entangling…

Quantum Physics · Physics 2026-03-27 Utkarsh Singh , Jean-Frédéric Laprade , Aaron Z. Goldberg , Khabat Heshami

The data encoding circuits used in quantum support vector machine (QSVM) kernels play a crucial role in their classification accuracy. However, manually designing these circuits poses significant challenges in terms of time and performance.…

Quantum Physics · Physics 2026-05-22 Floyd M. Creevey , Jamie A. Heredge , Martin E. Sevior , Lloyd C. L. Hollenberg

We implement an all-optical setup demonstrating kernel-based quantum machine learning for two-dimensional classification problems. In this hybrid approach, kernel evaluations are outsourced to projective measurements on suitably designed…

Motivation: In a predictive modeling setting, if sufficient details of the system behavior are known, one can build and use a simulation for making predictions. When sufficient system details are not known, one typically turns to machine…

Machine Learning · Statistics 2019-08-14 Timo M. Deist , Andrew Patti , Zhaoqi Wang , David Krane , Taylor Sorenson , David Craft

Machine learning (ML) holds great promise for extracting insights from complex quantum many-body data obtained in quantum experiments. This approach can efficiently solve certain quantum problems that are classically intractable, suggesting…

Quantum Physics · Physics 2025-09-18 Koki Chinzei , Quoc Hoan Tran , Norifumi Matsumoto , Yasuhiro Endo , Hirotaka Oshima

Holistic benchmarks for quantum computers are essential for testing and summarizing the performance of quantum hardware. However, holistic benchmarks -- such as algorithmic or randomized benchmarks -- typically do not predict a processor's…

Quantum Physics · Physics 2023-05-16 Daniel Hothem , Jordan Hines , Karthik Nataraj , Robin Blume-Kohout , Timothy Proctor

Quantile regression \parencite{Koenker1978} is a robust and practically useful way to efficiently model quantile varying correlation and predict varied response quantiles of interest. This article constructs and tests MM algorithms, which…

Methodology · Statistics 2025-02-18 Yifan Cheng , Anthony Yung Cheung Kuk

Due to the superiority and noteworthy progress of Quantum Computing (QC) in a lot of applications such as cryptography, chemistry, Big data, machine learning, optimization, Internet of Things (IoT), Blockchain, communication, and many more.…

Quantum Physics · Physics 2020-06-23 Zainab Abohashima , Mohamed Elhosen , Essam H. Houssein , Waleed M. Mohamed

A key problem in the field of quantum computing is understanding whether quantum machine learning (QML) models implemented on noisy intermediate-scale quantum (NISQ) machines can achieve quantum advantages. Recently, Huang et al. [Nat…

Quantum Physics · Physics 2021-09-01 Xinbiao Wang , Yuxuan Du , Yong Luo , Dacheng Tao

Within the past few years, we have witnessed the rising of quantum machine learning (QML) models which infer electronic properties of molecules and materials, rather than solving approximations to the electronic Schrodinger equation. The…

Chemical Physics · Physics 2018-07-17 Bing Huang , Nadine O. Symonds , O. Anatole von Lilienfeld

Quantum machine learning, which involves running machine learning algorithms on quantum devices, has garnered significant attention in both academic and business circles. In this paper, we offer a comprehensive and unbiased review of the…

Quantum Physics · Physics 2024-10-21 Yunfei Wang , Junyu Liu
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