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A combinatorial optimization problem is to find an optimal solution under the constraints. This is one of the potential applications for quantum computers. Quantum Random Access Optimization (QRAO) is the quantum optimization algorithm that…

Quantum Physics · Physics 2024-05-03 Hiromichi Matsuyama , Wei-hao Huang , Kohji Nishimura , Yu Yamashiro

Quantum annealing is a framework for solving combinatorial optimization problems. While it offers a promising path towards a practical application of quantum hardware, its performance in real-world devices is severely limited by…

We propose a novel method for reducing the number of variables in quadratic unconstrained binary optimization problems, using a quantum annealer (or any sampler) to fix the value of a large portion of the variables to values that have a…

Quantum Physics · Physics 2017-09-26 Hamed Karimi , Gili Rosenberg

Mission planning often involves optimising the use of ISR (Intelligence, Surveillance and Reconnaissance) assets in order to achieve a set of mission objectives within allowed parameters subject to constraints. The missions of interest…

Quantum Physics · Physics 2024-09-30 Ethan Davies , Pranav Kalidindi

Ising machines are next-generation computers expected to efficiently sample near-optimal solutions of combinatorial optimization problems. Combinatorial optimization problems are modeled as quadratic unconstrained binary optimization (QUBO)…

Optimization and Control · Mathematics 2024-06-21 Kentaro Ohno , Nozomu Togawa

A quadratic binary unconstrained optimization model, hereafter QUBO, by definition is unconstrained. This, however, is not ideal if one needs to select a model containing only a fixed size binary vector. In this work we show how to add a…

Optimization and Control · Mathematics 2021-01-11 Clark Alexander

An increasingly popular method for solving a constrained combinatorial optimisation problem is to first convert it into a quadratic unconstrained binary optimisation (QUBO) problem, and solve it using a standard QUBO solver. However, this…

Machine Learning · Computer Science 2021-03-22 Tian Huang , Siong Thye Goh , Sabrish Gopalakrishnan , Tao Luo , Qianxiao Li , Hoong Chuin Lau

The quest for real-time dynamic optimization solutions in the process industry represents a formidable computational challenge, particularly within the realm of applications like model-predictive control, where rapid and reliable…

Optimization and Control · Mathematics 2024-04-29 Dennis Michael Nenno , Adrian Caspari

Quadratic Unconstrained Binary Optimization (QUBO) problems are NP-hard problems and many real-world problems can be formulated as QUBO. Currently there are no algorithms known that can solve arbitrary instances of NP-hard problems…

Quantum Physics · Physics 2023-12-20 Christian Münch , Fritz Schinkel , Sebastian Zielinski , Stefan Walter

In this paper we focus on the unconstrained binary quadratic optimization model, maximize x^t Qx, x binary, and consider the problem of identifying optimal solutions that are robust with respect to perturbations in the Q matrix.. We are…

Artificial Intelligence · Computer Science 2017-09-25 Mark Lewis , Gary Kochenberger , John Metcalfe

This paper presents a new method to reduce the optimization of a pseudo-Boolean function to QUBO problem which can be solved by quantum annealer. The new method has two aspects, one is coefficient optimization and the other is variable…

Cryptography and Security · Computer Science 2022-11-21 Anpeng Zhang , Xiutao Feng

Quadratic Unconstrained Binary Optimization (QUBO) provides a versatile framework for representing NP-hard combinatorial problems, yet existing solvers often face trade-offs among speed, accuracy, and scalability. In this work, we introduce…

Quantum Physics · Physics 2025-06-06 Jiecheng Yang , Ding Wang , Xiang Zhao , Hairui Zhang , Ming Gao , Lin Yang

The quantum approximate optimization algorithm (QAOA) is designed to determine optimum and near optimum solutions of quadratic (and higher order) unconstrained binary optimization (QUBO or HUBO) problems, which in turn accurately model…

Quantum Physics · Physics 2025-03-18 Prashanti Priya Angara , Danylo Lykov , Ulrike Stege , Yuri Alexeev , Hausi Müller

A range of quantum algorithms, especially those leveraging variational parameterization and circuit-based optimization, are being studied as alternatives for solving classically intractable combinatorial optimization problems (COPs).…

Quantum Physics · Physics 2025-06-18 Monit Sharma , Hoong Chuin Lau

We leverage the idea of a statistical ensemble to improve the quality of quantum annealing based binary compressive sensing. Since executing quantum machine instructions on a quantum annealer can result in an excited state, rather than the…

Quantum Physics · Physics 2020-06-09 Ramin Ayanzadeh , Milton Halem , Tim Finin

Quantum annealing is a method developed to solve combinatorial optimization problems by utilizing quantum bits. Solving such problems corresponds to minimizing a cost function defined over binary variables. However, in many practical cases,…

Quantum Physics · Physics 2025-06-26 Seiya Endo , Shohei Kawakatsu , Hiromichi Matsuyama , Kohei Suzuki , Yuichiro Matsuzaki

The Quantum Approximate Optimization Algorithm (QAOA) is a promising quantum approach for tackling combinatorial optimization problems. However, hardware constraints such as limited scaling and susceptibility to noise pose significant…

Quantum Physics · Physics 2025-05-19 Bao G Bach , Filip B. Maciejewski , Ilya Safro

With the applications of quantum computing becoming more and more widespread, finding ways that allow end users without experience in the field to apply quantum computers to solve their individual problems is becoming a crucial task.…

Quantum Physics · Physics 2024-04-18 Damian Rovara , Nils Quetschlich , Robert Wille

Variational quantum algorithms constitute one of the most widespread methods for using current noisy quantum computers. However, it is unknown if these heuristic algorithms provide any quantum-computational speedup, although we cannot…

We report on a case study in programming an early quantum annealer to attack optimization problems related to operational planning. While a number of studies have looked at the performance of quantum annealers on problems native to their…

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