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Quantum computing, a prominent non-Von Neumann paradigm beyond Moore's law, can offer superpolynomial speedups for certain problems. Yet its advantages in efficiency for tasks like machine learning remain under investigation, and quantum…

Quantum Approximate Optimization Algorithms (QAOA) promise efficient solutions to classically intractable combinatorial optimization problems by harnessing shallow-depth quantum circuits. Yet, their performance and scalability often hinge…

Quantum Physics · Physics 2025-05-02 Kuan-Cheng Chen , Hiromichi Matsuyama , Wei-Hao Huang

Considering recent advancements and successes in the development of efficient quantum algorithms for electronic structure calculations --- alongside impressive results using machine learning techniques for computation --- hybridizing…

Quantum Physics · Physics 2018-10-24 Rongxin Xia , Sabre Kais

The Quantum Approximate Optimization Algorithm (QAOA) by Farhi et al. is a quantum computational framework for solving quantum or classical optimization tasks. Here, we explore using QAOA for Binary Linear Least Squares (BLLS); a problem…

Quantum Physics · Physics 2021-04-27 Ajinkya Borle , Vincent E. Elfving , Samuel J. Lomonaco

Quantum computing combined with machine learning (ML) is a highly promising research area, with numerous studies demonstrating that quantum machine learning (QML) is expected to solve scientific problems more effectively than classical ML.…

Quantum Physics · Physics 2025-07-18 Liang Zhang , Yin Xu , Mohan Wu , Liang Wang , Hua Xu

Quantum-like modeling (QLM) - quantum theory applications outside of physics - are intensively developed with applications in biology, cognition, psychology, and decision-making. For cognition, QLM should be distinguished from quantum…

Neurons and Cognition · Quantitative Biology 2025-12-16 Andrei Khrennikov , Makiko Yamada

We present the Quantum Kernel-Based Long short-memory (QK-LSTM) network, which integrates quantum kernel methods into classical LSTM architectures to enhance predictive accuracy and computational efficiency in climate time-series…

Quantum Physics · Physics 2024-12-13 Yu-Chao Hsu , Nan-Yow Chen , Tai-Yu Li , Po-Heng , Lee , Kuan-Cheng Chen

Quantum Machine Learning (QML) is considered one of the most promising applications of Quantum Computing in the Noisy Intermediate Scale Quantum (NISQ) era for the impact it is thought to have in the near future. Although promising…

Quantum Physics · Physics 2025-08-22 Valeria Repetto , Elia Giuseppe Ceroni , Giuseppe Buonaiuto , Romina D'Aurizio

Quantum computation appears to offer significant advantages over classical computation and this has generated a tremendous interest in the field. In this thesis we consider the application of quantum computers to scientific computing and…

Quantum Physics · Physics 2018-05-10 Stuart Hadfield

Quantum reinforcement learning (QRL) has emerged as a framework to solve sequential decision-making tasks, showcasing empirical quantum advantages. A notable development is through quantum recurrent neural networks (QRNNs) for…

Quantum Physics · Physics 2023-09-15 Samuel Yen-Chi Chen

Previously proposed quantum algorithms for solving linear systems of equations cannot be implemented in the near term due to the required circuit depth. Here, we propose a hybrid quantum-classical algorithm, called Variational Quantum…

Quantum Physics · Physics 2023-11-23 Carlos Bravo-Prieto , Ryan LaRose , M. Cerezo , Yigit Subasi , Lukasz Cincio , Patrick J. Coles

We present an efficient quantum algorithm to simulate nonlinear differential equations with polynomial vector fields of arbitrary degree on quantum platforms. Models of physical systems that are governed by ordinary differential equations…

Dynamical Systems · Mathematics 2023-02-08 Amit Surana , Abeynaya Gnanasekaran , Tuhin Sahai

We consider a general problem of inelastic collision of particles interacting with power-law potentials. Using quantum defect theory we derive an analytical formula for the energy-dependent complex scattering length, valid for arbitrary…

Atomic Physics · Physics 2014-10-14 Krzysztof Jachymski , Michał Krych , Paul S. Julienne , Zbigniew Idziaszek

Quantum machine learning (QML) is expected to offer new opportunities to process high-dimensional data efficiently by exploiting the exponentially large state space of quantum systems. In this work, we apply quantum extreme reservoir…

Quantum Physics · Physics 2026-01-26 Arisa Ikeda , Akitada Sakurai , Kae Nemoto , Mayu Muramatsu

Binding energy is a fundamental thermodynamic property that governs molecular interactions, playing a crucial role in fields such as healthcare and the natural sciences. It is particularly relevant in drug development, vaccine design, and…

Quantum Physics · Physics 2025-08-06 Erico Souza Teixeira , Lucas Barros Fernandes , Yara Rodrigues Inácio

Quantum machine learning (QML) requires significant quantum resources to address practical real-world problems. When the underlying quantum information exhibits hierarchical structures in the data, limitations persist in training complexity…

Quantum Physics · Physics 2026-03-24 Quoc Hoan Tran , Yasuhiro Endo , Hirotaka Oshima

Quantum computing has attracted significant interest in the optimization community because it potentially can solve classes of optimization problems faster than conventional supercomputers. Several researchers proposed quantum computing…

Quantum Physics · Physics 2023-02-14 Mohammadhossein Mohammadisiahroudi , Ramin Fakhimi , Tamás Terlaky

The application of quantum computation to accelerate machine learning algorithms is one of the most promising areas of research in quantum algorithms. In this paper, we explore the power of quantum learning algorithms in solving an…

Quantum Physics · Physics 2023-04-19 Yusen Wu , Bujiao Wu , Jingbo Wang , Xiao Yuan

Quantum computing, leveraging principles of quantum mechanics, represents a transformative approach in computational methodologies, offering significant enhancements over traditional classical systems. This study tackles the complex and…

Quantum Physics · Physics 2024-05-21 Mohammadreza Soltaninia , Junpeng Zhan

The computation of molecular excitation energies is essential for predicting photo-induced reactions of chemical and technological interest. While the classical computing resources needed for this task scale poorly, quantum algorithms…