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Graph coloring involves assigning colors to the vertices of a graph such that two vertices linked by an edge receive different colors. Graph coloring problems are general models that are very useful to formulate many relevant applications…

Machine Learning · Computer Science 2020-10-27 Olivier Goudet , Béatrice Duval , Jin-Kao Hao

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…

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

Estimating parameters of quantum systems is usually done by performing a sequence of predetermined experiments and post-processing the resulting data. It is known that online design, where the choice of the next experiment is based on the…

Quantum Physics · Physics 2018-06-08 Ian Hincks , Thomas Alexander , Michal Kononenko , Benjamin Soloway , David G. Cory

Variational Quantum Eigensolvers (VQEs) are a leading class of noisy intermediate-scale quantum (NISQ) algorithms with broad applications in quantum physics and quantum chemistry. However, as system size increases, VQE optimization is…

Quantum Physics · Physics 2025-07-16 Chi Zhang , Lei Jiang , Fan Chen

Quantum computers can efficiently sample from probability distributions that are believed to be classically intractable, providing a foundation for quantum generative modeling. However, practical training of such models remains challenging,…

Quantum Physics · Physics 2025-11-18 Maria Demidik , Cenk Tüysüz , Michele Grossi , Karl Jansen

With the increased focus on quantum circuit learning for near-term applications on quantum devices, in conjunction with unique challenges presented by cost function landscapes of parametrized quantum circuits, strategies for effective…

Quantum Physics · Physics 2021-09-10 Andrea Skolik , Jarrod R. McClean , Masoud Mohseni , Patrick van der Smagt , Martin Leib

Variational quantum eigensolver (VQE), which attracts attention as a promising application of noisy intermediate-scale quantum devices, finds a ground state of a given Hamiltonian by variationally optimizing the parameters of quantum…

Quantum Physics · Physics 2022-05-12 Fumiyoshi Kobayashi , Kosuke Mitarai , Keisuke Fujii

Generative quantum eigensolver (GQE) is a hybrid quantum-classical algorithm that iteratively trains a classical generative machine learning model such that the model can generate quantum circuits with desired properties such as…

Quantum Physics · Physics 2026-05-12 Junya Nakamura , Shinichiro Sanji

Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. In the context of Bayesian inverse problems, Uncertainty…

Numerical Analysis · Mathematics 2025-09-16 Andrea Tonini , Tan Bui-Thanh , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

The Variational Quantum Eigensolver (VQE) is a fundamental algorithm in quantum computing, yet a coherent geometric characterization of VQE remains missing due to fragmented analyses across fixed-ansatz and adaptive-circuit formulations. In…

Quantum Physics · Physics 2026-05-28 Zhen Qin

Recent advancements in quantum computing have shown promising computational advantages in many problem areas. As one of those areas with increasing attention, hybrid quantum-classical machine learning systems have demonstrated the…

Neural and Evolutionary Computing · Computer Science 2023-01-18 Li Ding , Lee Spector

Representing and learning from graphs is essential for developing effective machine learning models tailored to non-Euclidean data. While Graph Neural Networks (GNNs) strive to address the challenges posed by complex, high-dimensional graph…

Quantum Physics · Physics 2025-01-15 Wenxuan Wang

The paper investigates the techniques of quantum computation in metrological predictions, with a particular emphasis on enhancing prediction potential through variational parameter estimation. The applicability of quantum simulations and…

Quantum Physics · Physics 2025-01-31 Vaidik A Sharma , N. Madurai Meenachi , B. Venkatraman

Quantum machine learning is arguably one of the most explored applications of near-term quantum devices. Much focus has been put on notions of variational quantum machine learning where parameterized quantum circuits (PQCs) are used as…

Hybrid quantum-classical algorithms have been proposed as a potentially viable application of quantum computers. A particular example - the variational quantum eigensolver, or VQE - is designed to determine a global minimum in an energy…

Quantum Physics · Physics 2020-08-05 Alexey Uvarov , Jacob Biamonte , Dmitry Yudin

Variational quantum algorithms are expected to demonstrate the advantage of quantum computing on near-term noisy quantum computers. However, training such variational quantum algorithms suffers from gradient vanishing as the size of the…

Quantum Physics · Physics 2021-11-30 Anbang Wu , Gushu Li , Yuke Wang , Boyuan Feng , Yufei Ding , Yuan Xie

Variational quantum algorithms are expected to demonstrate the advantage of quantum computing on near-term noisy quantum computers. However, training such variational quantum algorithms suffers from gradient vanishing as the size of the…

Quantum Physics · Physics 2021-11-29 Anbang Wu , Gushu Li , Yufei Ding , Yuan Xie

Frequency control in power systems is critical to maintaining stability and preventing blackouts. Traditional methods like meta-heuristic algorithms and machine learning face limitations in real-time applicability and scalability. This…

Quantum Physics · Physics 2025-12-03 Younes Ghazagh Jahed , Alireza Khatiri

Searching for degenerate ground spaces in quantum many-body systems is central to understanding spontaneous symmetry breaking and topological order. Although existing numerical methods can approximate individual ground states with high…

Quantum Physics · Physics 2026-05-25 Yiying Chen , Lingxia Zhang , Yanzheng Zhu , Kaiyan Yang , Xiao Zeng , Zizhu Wang