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Black-box optimization minimizes an objective function without derivatives or explicit forms. Such an optimization method with continuous variables has been successful in the fields of machine learning and material science. For discrete…

Quantum computing has emerged as a promising alternative for solving combinatorial optimization problems. The standard approach for encoding optimization problems on quantum processing units (QPUs) involves transforming them into their…

新兴技术 · 计算机科学 2025-10-15 Meerzhan Kanatbekova , Vincenzo De Maio , Ivona Brandic

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

Quantum and quantum-inspired optimisation algorithms are designed to solve problems represented in binary, quadratic and unconstrained form. Combinatorial optimisation problems are therefore often formulated as Quadratic Unconstrained…

人工智能 · 计算机科学 2022-05-27 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Matthieu Parizy

Here, we present two complementary approaches that advance quadratic unconstrained binary optimization (QUBO) toward practical use in data-driven materials design and other real-valued black-box optimization tasks. First, we introduce a…

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

Many artificial intelligence (AI) problems naturally map to NP-hard optimization problems. This has the interesting consequence that enabling human-level capability in machines often requires systems that can handle formally intractable…

量子物理 · 物理学 2009-09-29 Hartmut Neven , Geordie Rose , William G. Macready

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

There is growing interest in solving computer vision problems such as mesh or point set alignment using Adiabatic Quantum Computing (AQC). Unfortunately, modern experimental AQC devices such as D-Wave only support Quadratic Unconstrained…

Quadratic unconstrained binary optimization (QUBO) solvers can be applied to design an optimal structure to avoid resonance. QUBO algorithms that work on a classical or quantum device have succeeded in some industrial applications. However,…

介观与纳米尺度物理 · 物理学 2022-09-29 Tadayoshi Matsumori , Masato Taki , Tadashi Kadowaki

Recent studies on quantum computing algorithms focus on excavating features of quantum computers which have potential for contributing to computational model enhancements. Among various approaches, quantum annealing methods effectively…

量子物理 · 物理学 2021-11-02 Sun Woo Park , Hyunju Lee , Byung Chun Kim , Youngho Woo , Kyungtaek Jun

Quadratic Unconstrained Binary Optimization (QUBO) is a generic technique to model various NP-hard Combinatorial Optimization problems (CO) in the form of binary variables. Ising Hamiltonian is used to model the energy function of a system.…

机器学习 · 计算机科学 2023-12-13 Redwan Ahmed Rizvee , Raheeb Hassan , Md. Mosaddek Khan

We use Quantum Imaginary Time Evolution (QITE) to solve polynomial unconstrained binary optimization (PUBO) problems. We show that a linear Ansatz yields good results for a wide range of PUBO problems, often outperforming standard classical…

量子物理 · 物理学 2023-12-29 Nora M. Bauer , Rizwanul Alam , James Ostrowski , George Siopsis

Quantum Approximate Optimization Algorithm (QAOA) is one of the most short-term promising quantum-classical algorithm to solve unconstrained combinatorial optimization problems. It alternates between the execution of a parametrized quantum…

最优化与控制 · 数学 2024-11-18 Camille Grange , Marion Lavignac , Valentina Pozzoli , Eric Bourreau

Combinatorial optimization problems, integral to various scientific and industrial applications, often vary significantly in their complexity and computational difficulty. Transforming such problems into Quadratic Unconstrained Binary…

量子物理 · 物理学 2024-04-04 Thore Gerlach , Sascha Mücke

Formulation symmetry in mixed-integer programming (MIP) can hinder solver performance by inducing redundant search, but detecting such symmetries is also a significant computational challenge. This paper explores the potential for quantum…

最优化与控制 · 数学 2025-12-18 Alexander While , Chen Chen

Quantum Approximate Optimization Algorithm (QAOA) can be used to solve quadratic unconstrained binary optimization (QUBO) problems. However, the size of the solvable problem is limited by the number of qubits. To leverage noisy…

量子物理 · 物理学 2025-06-10 Wending Zhao , Gaoxiang Tang

Combinatorial optimization has wide applications from industry to natural science. Ising machines bring an emerging computing paradigm for efficiently solving a combinatorial optimization problem by searching a ground state of a given Ising…

统计力学 · 物理学 2024-07-16 Kentaro Ohno , Tatsuhiko Shirai , Nozomu Togawa

In this paper we present a novel strategy to solve optimization problems within a hybrid quantum-classical scheme based on quantum annealing, with a particular focus on QUBO problems. The proposed algorithm is based on an iterative…

量子物理 · 物理学 2020-04-07 Enrico Blanzieri , Davide Pastorello

We introduce kernel-QA, a black-box optimization (BBO) method that constructs surrogate models analytically using low-order polynomial kernels within a quadratic unconstrained binary optimization (QUBO) framework, enabling efficient…

最优化与控制 · 数学 2025-11-07 Yuki Minamoto , Yuya Sakamoto