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The parameter space of dynamical systems arising in applications is often found to be high-dimensional and difficult to explore. We construct a fast algorithm to numerically analyze "quantitative features" of dynamical systems depending on…

Numerical Analysis · Mathematics 2008-07-15 Christian Kuehn

As renewable energy integration, sector coupling, and spatiotemporal detail increase, energy system optimization models grow in size and complexity, often pushing solvers to their performance limits. This systematic review explores…

The Quantum Approximate Optimization Algorithm (QAOA) is a leading approach for solving combinatorial optimization problems on near-term quantum processors. However, finding good variational parameters remains a significant challenge due to…

Quantum Physics · Physics 2025-12-05 Yu-Cheng Lin , Yu-Chao Hsu , Samuel Yen-Chi Chen

Parameterized quantum circuits are widely studied approaches for tackling optimization problems. A prominent example is the Quantum Alternating Operator Ansatz (QAOA), an approach that builds off the structure of the Quantum Approximate…

Quantum Physics · Physics 2022-11-18 James Sud , Stuart Hadfield , Eleanor Rieffel , Norm Tubman , Tad Hogg

The quantum approximate optimization algorithm (QAOA) is a leading iterative variational quantum algorithm for heuristically solving combinatorial optimization problems. A large portion of the computational effort in QAOA is spent by the…

Quantum Physics · Physics 2022-08-23 Ohad Amosy , Tamuz Danzig , Ely Porat , Gal Chechik , Adi Makmal

Driven by potential exponential speedups in business, security, and scientific scenarios, interest in quantum computing is surging. This interest feeds the development of quantum computing hardware, but several challenges arise in…

Quantum Physics · Physics 2024-09-11 Junghoon Chae , Chad A. Steed , Travis S. Humble

We present a classical control mechanism for Quantum devices using Reinforcement Learning. Our strategy is applied to the Quantum Approximate Optimization Algorithm (QAOA) in order to optimize an objective function that encodes a solution…

Quantum Physics · Physics 2019-11-25 Artur Garcia-Saez , Jordi Riu

Quantum Variational Circuits (QVCs) are often claimed as one of the most potent uses of both near term and long term quantum hardware. The standard approaches to optimizing these circuits rely on a classical system to compute the new…

Quantum Physics · Physics 2022-02-11 Owen Lockwood

We introduce the reinforcement quantum annealing (RQA) scheme in which an intelligent agent interacts with a quantum annealer that plays the stochastic environment role of learning automata and tries to iteratively find better Ising…

Quantum Physics · Physics 2020-01-03 Ramin Ayanzadeh , Milton Halem , Tim Finin

Ansatz selection is a key factor in the performance of variational quantum algorithms (VQAs). While much of the state-of-the-art still relies on heuristic choices, an inadequate circuit structure can compromise both the expressive power and…

Quantum Physics · Physics 2026-03-24 Rodrigo M. Sanz , Andreu Angles-Castillo , Eduard Alarcon , Carmen G Almudever

Reasoning large language models (RLLMs), such as OpenAI-O3 and DeepSeek-R1, have recently demonstrated remarkable capabilities by performing structured and multi-step reasoning. However, recent studies reveal that RLLMs often suffer from…

Computation and Language · Computer Science 2025-11-10 Kaiwen Yan , Xuanqing Shi , Hongcheng Guo , Wenxuan Wang , Zhuosheng Zhang , Chengwei Qin

Collaborative Question Answering (CQA) frameworks for knowledge graphs aim at integrating existing question answering (QA) components for implementing sequences of QA tasks (i.e. QA pipelines). The research community has paid substantial…

Quantization techniques have been applied in many challenging finance applications, including pricing claims with path dependence and early exercise features, stochastic optimal control, filtering problems and efficient calibration of large…

Computational Finance · Quantitative Finance 2017-01-11 T. A. McWalter , R. Rudd , J. Kienitz , E. Platen

Variational Quantum Algorithms (VQAs) are a class of hybrid quantum-classical algorithms that leverage on classical optimization tools to find the optimal parameters for a parameterized quantum circuit. One relevant application of VQAs is…

Quantum Physics · Physics 2026-01-26 Mirko Legnini , Julian Berberich

Variational Quantum Algorithm (VQA) is a hybrid algorithm for noisy quantum devices. However, statistical fluctuations and physical noise degrade the solution quality, so it is difficult to maintain applicability for large-scale problems.…

Quantum Physics · Physics 2025-04-18 Hiromichi Matsuyama , Yu Yamashiro

Sensitivity analysis (SA) and uncertainty quantification (UQ) are used to assess and improve engineering models. In this study, various methods of SA and UQ are described and applied in theoretical and practical examples for use in energy…

Applications · Statistics 2022-07-07 Majdi I. Radaideh , Mohammad I. Radaideh

Recurrence plot based time series analysis is widely used to study changes and transitions in the dynamics of a system or temporal deviations from its overall dynamical regime. However, most studies do not discuss the significance of the…

Chaotic Dynamics · Physics 2013-06-05 Norbert Marwan , Stefan Schinkel , Jürgen Kurths

Designing controllers to generate various trajectories has been studied for years, while recently, recovering an optimal controller from trajectories receives increasing attention. In this paper, we reveal that the inherent linear quadratic…

Systems and Control · Electrical Eng. & Systems 2023-12-29 Chendi Qu , Jianping He , Xiaoming Duan

Mathematical modeling is a powerful tool for describing, predicting, and understanding complex phenomena exhibited by real-world systems. However, identifying the equations that govern a system's dynamics from experimental data remains a…

Neural and Evolutionary Computing · Computer Science 2024-12-05 Omar Rodríguez-Abreo , José Luis Aragón , Mario Alan Quiroz-Juárez

Variational quantum algorithms, such as the Recursive Quantum Approximate Optimization Algorithm (RQAOA), have become increasingly popular, offering promising avenues for employing Noisy Intermediate-Scale Quantum devices to address…

Emerging Technologies · Computer Science 2025-06-04 Shuaiqun Pan , Yash J. Patel , Aneta Neumann , Frank Neumann , Thomas Bäck , Hao Wang