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Adiabatic quantum computing has evolved in recent years from a theoretical field into an immensely practical area, a change partially sparked by D-Wave System's quantum annealing hardware. These multimillion-dollar quantum annealers offer…

Quantum Physics · Physics 2017-07-28 Timothy D. Goodrich , Travis S. Humble , Blair D. Sullivan

A quantum annealer heuristically minimizes quadratic unconstrained binary optimization (QUBO) problems, but is limited by the physical hardware in the size and density of the problems it can handle. We have developed a meta-heuristic solver…

Discrete Mathematics · Computer Science 2016-05-20 Gili Rosenberg , Mohammad Vazifeh , Brad Woods , Eldad Haber

We present the mapping of a class of simplified air traffic management (ATM) problems (strategic conflict resolution) to quadratic unconstrained boolean optimization (QUBO) problems. The mapping is performed through an original…

Quadratic Unconstrained Binary Optimization (QUBO) is a standard NP-hard optimization problem. Recently, it has gained renewed interest through quantum computing, as QUBOs directly reduce to the Ising model, on which quantum annealing…

Quantum Physics · Physics 2026-03-16 Katalin Friedl , Levente Gegő , László Kabódi , Viktória Nemkin

The field of Quantum Computing has gathered significant popularity in recent years and a large number of papers have studied its effectiveness in tackling many tasks. We focus in particular on Quantum Annealing (QA), a meta-heuristic solver…

Quantum Physics · Physics 2026-03-03 Riccardo Pellini , Maurizio Ferrari Dacrema

Cybersecurity in telecommunication networks often leads to hard combinatorial optimization problems that are challenging to solve with classical methods. This work investigates the practical feasibility of using quantum annealing to address…

Quantum Physics · Physics 2026-01-05 Ali Abbassi , Yann Dujardin , Eric Gourdin , Philippe Lacomme , Caroline Prodhon

We assess the prospects for algorithms within the general framework of quantum annealing (QA) to achieve a quantum speedup relative to classical state of the art methods in combinatorial optimization and related sampling tasks. We argue for…

Quantum Physics · Physics 2021-06-22 E. J. Crosson , D. A. Lidar

With the advent of novel quantum computing technologies, and the knowledge that such technology might be used to fundamentally change computing applications, a prime opportunity has presented itself to investigate the practical application…

Computational Engineering, Finance, and Science · Computer Science 2024-02-13 Kevin Wils , Boyang Chen

We present a novel formulation of structural design optimization problems specifically tailored to be solved by quantum annealing (QA). Structural design optimization aims to find the best, i.e., material-efficient yet high-performance,…

Computational Engineering, Finance, and Science · Computer Science 2024-04-17 Fabian Key , Lukas Freinberger

A black-box optimization algorithm such as Bayesian optimization finds extremum of an unknown function by alternating inference of the underlying function and optimization of an acquisition function. In a high-dimensional space, such…

Quantum Physics · Physics 2021-05-03 Syun Izawa , Koki Kitai , Shu Tanaka , Ryo Tamura , Koji Tsuda

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

Quantum annealing aims at solving hard computational problems through adiabatic state preparation. Here, I propose to use inhomogeneous longitudinal magnetic fields to enhance the efficiency of the annealing. Such fields are able to bias…

Quantum Physics · Physics 2019-09-23 Tobias Graß

Characterizing thermally activated transitions in high-dimensional rugged energy surfaces is a very challenging task for classical computers. Here, we develop a quantum annealing scheme to solve this problem. First, the task of finding the…

Quantum Physics · Physics 2021-01-18 Philipp Hauke , Giovanni Mattiotti , Pietro Faccioli

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…

Quantum Physics · Physics 2009-09-29 Hartmut Neven , Geordie Rose , William G. Macready

We demonstrate how quantum field theory problems can be embedded on quantum annealers. The general method we use is a discretisation of the field theory problem into a general Ising model, with the continuous field values being encoded into…

High Energy Physics - Phenomenology · Physics 2021-01-20 Steven Abel , Nicholas Chancellor , Michael Spannowsky

Quantum visual computing is advancing rapidly. This paper presents a new formulation for stereo matching with nonlinear regularizers and spatial pyramids on quantum annealers as a maximum a posteriori inference problem that minimizes the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Cameron Braunstein , Eddy Ilg , Vladislav Golyanik

We briefly review various computational methods for the solution of optimization problems. First, several classical methods such as Metropolis algorithm and simulated annealing are discussed. We continue with a description of quantum…

Statistical Mechanics · Physics 2015-12-01 Eliahu Cohen , Boaz Tamir

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

Finding shape correspondences can be formulated as an NP-hard quadratic assignment problem (QAP) that becomes infeasible for shapes with high sampling density. A promising research direction is to tackle such quadratic optimization problems…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Marcel Seelbach Benkner , Zorah Lähner , Vladislav Golyanik , Christof Wunderlich , Christian Theobalt , Michael Moeller

To run an algorithm on a quantum computer, one must choose an assignment from logical qubits in a circuit to physical qubits on quantum hardware. This task of initial qubit placement, or qubit allocation, is especially important on…

Quantum Physics · Physics 2020-12-01 Bryan Dury , Olivia Di Matteo