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Quantum computing is emerging as a new computing resource that could be superior to conventional computing for certain classes of optimization problems. However, in principle, most existing approaches to quantum optimization are intended to…

Optimization and Control · Mathematics 2022-01-21 Chin-Yao Chang , Eric Jones , Yiyun Yao , Peter Graf , Rishabh Jain

Quantum Annealing (QA) can efficiently solve combinatorial optimization problems whose objective functions are represented by Quadratic Unconstrained Binary Optimization (QUBO) formulations. For broader applicability of QA, quadratization…

Quantum Physics · Physics 2025-07-29 Hyakka Nakada , Shu Tanaka

Energy systems optimization problems are complex due to strongly non-linear system behavior and multiple competing objectives, e.g. economic gain vs. environmental impact. Moreover, a large number of input variables and different variable…

Tensor Networks, a numerical tool originally designed for simulating quantum many-body systems, have recently been applied to solve Machine Learning problems. Exploiting a tree tensor network, we apply a quantum-inspired machine learning…

Quantum computing can empower machine learning models by enabling kernel machines to leverage quantum kernels for representing similarity measures between data. Quantum kernels are able to capture relationships in the data that are not…

Some real-world problems revolve to solve the optimization problem \max_{x\in\mathcal{X}}f\left(x\right) where f\left(.\right) is a black-box function and X might be the set of non-vectorial objects (e.g., distributions) where we can only…

Machine Learning · Computer Science 2017-09-20 Trung Le , Khanh Nguyen , Tu Dinh Nguyen , Dinh Phung

Classical machine learning theory and theory of quantum computations are among of the most rapidly developing scientific areas in our days. In recent years, researchers investigated if quantum computing can help to improve classical machine…

Quantum Physics · Physics 2019-06-26 D. V. Fastovets , Yu. I. Bogdanov , B. I. Bantysh , V. F. Lukichev

Black-box optimization is increasingly used in engineering design problems where simulation-based evaluations are costly and gradients are unavailable. In this context, the optimization community has largely analyzed algorithm performance…

Neural and Evolutionary Computing · Computer Science 2026-02-06 Iván Olarte Rodríguez , Gokhan Serhat , Mariusz Bujny , Fabian Duddeck , Thomas Bäck , Elena Raponi

Optimization problems in finance, physics and computer science are typically very hard to tackle in classical computing and quantum computing could help speed up computations and provide efficient methods for tackling large problems.…

Quantum Physics · Physics 2025-11-26 Dawei Zhong , Akhil Francis , Ermal Rrapaj

With the advent of quantum and quantum-inspired machine learning, adapting the structure of learning models to match the structure of target datasets has been shown to be crucial for obtaining high performance. Probabilistic models based on…

Quantum Physics · Physics 2022-11-30 Atithi Acharya , Manuel Rudolph , Jing Chen , Jacob Miller , Alejandro Perdomo-Ortiz

Bayesian Optimization (BO) is an effective approach for global optimization of black-box functions when function evaluations are expensive. Most prior works use Gaussian processes to model the black-box function, however, the use of kernels…

Machine Learning · Computer Science 2023-09-25 Dat Phan-Trong , Hung Tran-The , Sunil Gupta

Analytical and practical evidence indicates the advantage of quantum computing solutions over classical alternatives. Quantum-based heuristics relying on the variational quantum eigensolver (VQE) and the quantum approximate optimization…

Quantum Physics · Physics 2023-01-05 Sarthak Gupta , Vassilis Kekatos

When a black-box optimization objective can only be evaluated with costly or noisy measurements, most standard optimization algorithms are unsuited to find the optimal solution. Specialized algorithms that deal with exactly this situation…

Machine Learning · Computer Science 2021-06-11 Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

Solving combinatorial optimization problems on current noisy quantum devices is currently being advocated for (and restricted to) binary polynomial optimization with equality constraints via quantum heuristic approaches. This is achieved…

Quantum Physics · Physics 2021-02-04 Claudio Gambella , Andrea Simonetto

Optimization of very expensive black-box functions requires utilization of maximum information gathered by the process of optimization. Model Guided Sampling Optimization (MGSO) forms a more robust alternative to Jones'…

Neural and Evolutionary Computing · Computer Science 2015-09-01 Lukas Bajer , Martin Holena

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

Simulation-based optimization is a widely used method to solve stochastic optimization problems. This method aims to identify an optimal solution by maximizing the expected value of the objective function. However, due to its computational…

Quantum Physics · Physics 2025-01-20 Monit Sharma , Hoong Chuin Lau , Rudy Raymond

We propose a generative, end-to-end solver for black-box combinatorial optimization that emphasizes both sample efficiency and solution quality on NP problems. Drawing inspiration from annealing-based algorithms, we treat the black-box…

Machine Learning · Computer Science 2025-08-07 Yuan-Hang Zhang , Massimiliano Di Ventra

We propose a novel quantum algorithm for solving linear optimization problems by quantum-mechanical simulation of the central path. While interior point methods follow the central path with an iterative algorithm that works with successive…

Quantum Physics · Physics 2024-10-17 Brandon Augustino , Jiaqi Leng , Giacomo Nannicini , Tamás Terlaky , Xiaodi Wu

Quantum computing is offering a novel perspective for solving combinatorial optimization problems. To fully explore the possibilities offered by quantum computers, the problems need to be formulated as unconstrained binary models, taking…

Quantum Physics · Physics 2022-02-01 Özlem Salehi , Adam Glos , Jarosław Adam Miszczak
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