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The Travelling Salesman Problem (TSP) is an important combinatorial optimisation problem, and is usually solved on a quantum computer using a Quadratic Unconstrained Binary Optimisation (QUBO) formulation or a Higher Order Binary…

量子物理 · 物理学 2024-06-21 Daniel Goldsmith , Joe Day-Evans

Quadratic unconstrained binary optimization (QUBO) provides problem formulations for various computational problems that can be solved with dedicated QUBO solvers, which can be based on classical or quantum computation. A common approach to…

In this paper, we propose a hybrid framework to solve large-scale permutation-based combinatorial problems effectively using a high-performance quadratic unconstrained binary optimization (QUBO) solver. To do so, transformations are…

最优化与控制 · 数学 2021-07-07 Siong Thye Goh , Sabrish Gopalakrishnan , Jianyuan Bo , Hoong Chuin Lau

Optimisation algorithms designed to work on quantum computers or other specialised hardware have been of research interest in recent years. Many of these solver can only optimise problems that are in binary and quadratic form. Quadratic…

最优化与控制 · 数学 2022-06-23 Mayowa Ayodele

Combinatorial optimization problems are typically formulated using Quadratic Unconstrained Binary Optimization (QUBO), where constraints are enforced through penalty terms that introduce auxiliary variables and rapidly increase Hamiltonian…

量子物理 · 物理学 2026-02-10 Shashank Sanjay Bhat , Peiyong Wang , Joseph West , Udaya Parampalli

In this paper, we introduce three QUBO (Quadratic Unconstrained Binary Optimization) relaxations for the sparsest $k$-subgraph (SkS) problem: a quadratic penalty relaxation, a Lagrangian relaxation, and an augmented Lagrangian relaxation.…

最优化与控制 · 数学 2025-09-11 Omkar Bihani , Roman Kužel , Janez Povh , Dunja Pucher

With the advances in customized hardware for quantum annealing and digital/CMOS Annealing, Quadratic Unconstrained Binary Optimization (QUBO) models have received growing attention in the optimization literature. Motivated by an existing…

量子物理 · 物理学 2024-04-05 Oksana Pichugina , Yingcong Tan , Christopher Beck

Leveraging quantum computers for optimization problems holds promise across various application domains. Nevertheless, utilizing respective quantum computing solvers requires describing the optimization problem according to the Quadratic…

In the field of quantum computing, combinatorial optimization problems are typically addressed using QUBO (Quadratic Unconstrained Binary Optimization) solvers. However, these solvers are often insufficient for tackling higher-order…

量子物理 · 物理学 2024-07-24 Yuichiro Minato

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…

量子物理 · 物理学 2025-03-18 Prashanti Priya Angara , Danylo Lykov , Ulrike Stege , Yuri Alexeev , Hausi Müller

Optimizing objective functions stands to benefit significantly from leveraging quantum computers, promising enhanced solution quality across various application domains in the future. However, harnessing the potential of quantum solvers…

Quadratic unconstrained binary optimization (QUBO) problems are well-studied, not least because they can be approached using contemporary quantum annealing or classical hardware acceleration. However, due to limited precision and hardware…

量子物理 · 物理学 2023-07-06 Sascha Mücke , Thore Gerlach , Nico Piatkowski

Quadratic Unconstrained Binary Optimization (QUBO) is recognized as a unifying framework for modeling a wide range of problems. Problems can be solved with commercial solvers customized for solving QUBO and since QUBO have degree two, it is…

最优化与控制 · 数学 2021-07-27 Amit Verma , Mark Lewis , Gary Kochenberger

The Quadratic Unconstrained Binary Optimization (QUBO) model has gained prominence in recent years with the discovery that it unifies a rich variety of combinatorial optimization problems. By its association with the Ising problem in…

数据结构与算法 · 计算机科学 2019-11-06 Fred Glover , Gary Kochenberger , Yu Du

In recent years, there is a growing interest in using quantum computers for solving combinatorial optimization problems. In this work, we developed a generic, machine learning-based framework for mapping continuous-space inverse design…

The Quadratic Unconstrained Binary Optimization problem (QUBO) has become a unifying model for representing a wide range of combinatorial optimization problems, and for linking a variety of disciplines that face these problems. A new class…

人工智能 · 计算机科学 2017-05-30 Mark Lewis , Fred Glover

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…

量子物理 · 物理学 2024-05-03 Hiromichi Matsuyama , Wei-hao Huang , Kohji Nishimura , Yu Yamashiro

Current hardware limitations restrict the potential when solving quadratic unconstrained binary optimization (QUBO) problems via the quantum approximate optimization algorithm (QAOA) or quantum annealing (QA). Thus, we consider training…

量子物理 · 物理学 2020-04-30 Thomas Gabor , Sebastian Feld , Hila Safi , Thomy Phan , Claudia Linnhoff-Popien

Optimization problems with nonlinear cost functions and combinatorial constraints appear in many real-world applications but remain challenging to solve efficiently compared to their linear counterparts. To bridge this gap, we propose…

机器学习 · 计算机科学 2023-07-20 Aaron Ferber , Taoan Huang , Daochen Zha , Martin Schubert , Benoit Steiner , Bistra Dilkina , Yuandong Tian

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…

量子物理 · 物理学 2025-06-06 Jiecheng Yang , Ding Wang , Xiang Zhao , Hairui Zhang , Ming Gao , Lin Yang
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