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Due to the expected disparity in quantum vs. classical clock speeds, quantum advantage for branch and bound algorithms is more likely achievable in settings involving large search trees and low operator evaluation costs. Therefore, in this…

Optimization and Control · Mathematics 2024-07-30 Thomas Häner , Kyle E. C. Booth , Sima E. Borujeni , Elton Yechao Zhu

The Maximum Cut (Max-Cut) problem could be naturally expressed either in a Quadratic Unconstrained Binary Optimization (QUBO) formulation, or as an Ising model. It has long been known that the Maximum Independent Set (MIS) problem could…

Quantum Physics · Physics 2024-09-19 Chuixiong Wu , Jianan Wang , Fen Zuo

The D-Wave quantum annealers make it possible to obtain high quality solutions of NP-hard problems by mapping a problem in a QUBO (quadratic unconstrained binary optimization) or Ising form to the physical qubit connectivity structure on…

Quantum Physics · Physics 2022-12-29 Elijah Pelofske , Georg Hahn , Hristo Djidjev

The maximum-cut problem is one of the fundamental problems in combinatorial optimization. With the advent of quantum computers, both the maximum-cut and the equivalent quadratic unconstrained binary optimization problem have experienced…

Optimization and Control · Mathematics 2022-02-07 Daniel Rehfeldt , Thorsten Koch , Yuji Shinano

Quantum annealing (QA) holds promise for optimization problems in quantum computing, especially for combinatorial optimization. This analog framework attracts attention for its potential to address complex problems. Its gate-based…

Quantum Physics · Physics 2025-09-11 Arthur Braida , Simon Martiel , Ioan Todinca

The quadratic unconstrained binary optimization (QUBO) problem arises in diverse optimization applications ranging from Ising spin problems to classical problems in graph theory and binary discrete optimization. The use of preprocessing to…

Artificial Intelligence · Computer Science 2017-05-29 Fred Glover , Mark Lewis , Gary Kochenberger

We benchmark current annealing-based optimization workflows on a greenhouse-inspired quadratic unconstrained binary optimization problem for binary heater scheduling, where the horizon H denotes the number of hourly control decisions. For…

Quantum Physics · Physics 2026-05-28 Hamzeh Alavirad , Maryam Bahrami Zanjani

In this work we investigate the capabilities of a hybrid quantum-classical procedure to explore the solution space using the D-Wave $2000Q^{TM}$ Quantum Annealer device. Here we study the ability of the Quantum hardware to solve the Number…

Quantum Physics · Physics 2020-03-10 Luca Asproni , Davide Caputo , Blanca Silva , Giovanni Fazzi , Marco Magagnini

To tackle combinatorial optimization problems using an Ising machine, the objective function and constraints must be mapped onto a quadratic unconstrained binary optimization (QUBO) model. While QUBO involves binary variables, combinatorial…

Statistical Mechanics · Physics 2025-01-22 Shuta Kikuchi , Kotaro Takahashi , Shu Tanaka

In this paper, we study the problem of digital pre/post-coding design in multiple-input multiple-output (MIMO) systems with 1-bit resolution per complex dimension. The optimal solution that maximizes the received signal-to-noise ratio…

Signal Processing · Electrical Eng. & Systems 2024-06-10 Ioannis Krikidis

Graph partitioning has many applications in powersystems from decentralized state estimation to parallel simulation. Focusing on parallel simulation, optimal grid partitioning minimizes the idle time caused by different simulation times for…

Systems and Control · Electrical Eng. & Systems 2025-07-14 Carsten Hartmann , Junjie Zhang , Carlos D. Gonzalez Calaza , Thiemo Pesch , Kristel Michielsen , Andrea Benigni

Ising machines, including quantum annealing machines, are promising next-generation computers for combinatorial optimization problems. However, due to hardware limitations, most Ising-type hardware can only solve objective functions…

Statistical Mechanics · Physics 2025-10-29 Kazuki Ikeuchi , Yoshiki Matsuda , Shu Tanaka

Physical annealing systems provide heuristic approaches to solving NP-hard Ising optimization problems. Here, we study the performance of two types of annealing machines--a commercially available quantum annealer built by D-Wave Systems,…

In this note, we describe an experiment on portfolio optimization using the Quadratic Unconstrained Binary Optimization (QUBO) formulation. The dataset we use is taken from a real-world problem for which a classical solution is currently…

We propose a hybrid quantum-classical algorithm to compute approximate solutions of binary combinatorial problems. We employ a shallow-depth quantum circuit to implement a unitary and Hermitian operator that block-encodes the weighted…

Quantum Physics · Physics 2023-06-16 Natacha Kuete Meli , Florian Mannel , Jan Lellmann

Quantum annealers offer an efficient way to compute high quality solutions of NP-hard problems when expressed in a QUBO (quadratic unconstrained binary optimization) or an Ising form. This is done by mapping a problem onto the physical…

Quantum Physics · Physics 2022-04-26 Elijah Pelofske , Georg Hahn , Hristo N. Djidjev

Benchmarking Quantum Process Units (QPU) at an application level usually requires considering the whole programming stack of the quantum computer. One critical task is the minor-embedding (resp. transpilation) step, which involves…

Quantum Physics · Physics 2024-08-02 Valentin Gilbert , Julien Rodriguez , Stéphane Louise

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…

Quantum Physics · Physics 2020-04-07 Enrico Blanzieri , Davide Pastorello

As contemporary quantum computers do not possess error correction, any calculation performed by these devices can be considered an involuntary approximation. To solve a problem on a quantum annealer, it has to be expressed as an instance of…

We propose a practical, physics-inspired benchmarking suite to challenge both quantum and classical computers by mapping real-time quantum dynamics to a common optimization format. Using a parallel-in-time encoding, we convert the real-time…

Quantum Physics · Physics 2026-04-23 Philipp Hanussek , Jakub Pawłowski , Zakaria Mzaouali , Bartłomiej Gardas