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The peptide-protein docking problem is an important problem in structural biology that facilitates rational and efficient drug design. In this work, we explore modeling and solving this problem with the quantum-amenable quadratic…

The prospect of quantum solutions for complicated optimization problems is contingent on mapping the original problem onto a tractable quantum energy landscape, e.g. an Ising-type Hamiltonian. Subsequently, techniques like adiabatic…

Quantum Physics · Physics 2025-10-17 Sebastian Egginger , Kristina Kirova , Sonja Bruckner , Stefan Hillmich , Richard Kueng

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

Several combinatorial optimization problems can be solved with NISQ devices once that a corresponding quadratic unconstrained binary optimization (QUBO) form is derived. The aim of this work is to drastically reduce the variables needed for…

Quantum Physics · Physics 2026-02-25 Dario De Santis , Salvatore Tirone , Stefano Marmi , Vittorio Giovannetti

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…

Artificial Intelligence · Computer Science 2022-05-27 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Matthieu Parizy

Quantum Approximate Optimization Algorithm (QAOA) and Quantum Annealing are prominent approaches for solving combinatorial optimization problems, such as those formulated as Quadratic Unconstrained Binary Optimization (QUBO). These…

The D-Wave quantum annealing machine can quickly find the optimal solution for quadratic unconstrained binary optimization (QUBO). One of the applications where the use of quantum annealing is desired is in problems requiring rapid…

Quantum Physics · Physics 2024-12-11 Reo Shikanai , Masayuki Ohzeki , Kazuyuki Tanaka

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…

Optimization and Control · Mathematics 2024-11-18 Camille Grange , Marion Lavignac , Valentina Pozzoli , Eric Bourreau

Obtaining Quadratic Unconstrained Binary Optimisation models for various optimisation problems, in order to solve those on physical quantum computers (such as the the DWave annealers) is nowadays a lengthy and tedious process that requires…

Mathematical Software · Computer Science 2023-07-20 Armin Wolf , Cristian Grozea

Annealing machines specialized for combinatorial optimization problems have been developed, and some companies offer services to use those machines. Such specialized machines can only handle binary variables, and their input format is the…

Quantum Physics · Physics 2023-03-24 Yuki Furue , Makiko Konoshima , Hirotaka Tamura , Jun Ohkubo

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

The Quantum Approximate Optimization Algorithm (QAOA) requires considered optimization problems to be translated into a compatible format. A popular transformation step in this pipeline involves the quadratization of higher-order binary…

Quantum Physics · Physics 2025-11-26 Damian Rovara , Lukas Burgholzer , Robert Wille

The increasing complexity of industrial scheduling and transport routing problems motivates the study of alternative optimization formulations and computational paradigms. In this work, we study how higher-order unconstrained binary…

Variational quantum algorithms have been advocated as promising candidates to solve combinatorial optimization problems on near-term quantum computers. Their methodology involves transforming the optimization problem into a quadratic…

Quantum Physics · Physics 2023-08-01 Zoé Verchère , Sourour Elloumi , Andrea Simonetto

In machine learning, fewer features reduce model complexity. Carefully assessing the influence of each input feature on the model quality is therefore a crucial preprocessing step. We propose a novel feature selection algorithm based on a…

Quantum Physics · Physics 2023-02-22 Sascha Mücke , Raoul Heese , Sabine Müller , Moritz Wolter , Nico Piatkowski

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…

We extend the family of problems that may be implemented on an adiabatic quantum optimizer (AQO). When a quadratic optimization problem has at least one set of discrete controls and the constraints are linear, we call this a quadratic…

Quantum Physics · Physics 2014-07-16 Rishabh Chandra , N. Tobias Jacobson , Jonathan E. Moussa , Steven H. Frankel , Sabre Kais

A challenge for scalability of demand-responsive, elastic optical Dense Wavelength Division Multiplexing (DWDM) and Flexgrid networks is the computational complexity of allocating many optical routes on large networks. We demonstrate that…

Networking and Internet Architecture · Computer Science 2024-02-13 Ethan Davies , Darren Banfield , Vlad Carare , Ben Weaver , Catherine White , Nigel Walker

Recent advances in quantum technology have led to the development and manufacturing of experimental programmable quantum annealers that promise to solve certain combinatorial optimization problems of practical relevance faster than their…

Quantum Physics · Physics 2016-05-31 Itay Hen , Federico M. Spedalieri

In the era of quantum computing, the emergence of quantum computers and subsequent advancements have led to the development of various quantum algorithms capable of solving linear equations and eigenvalues, surpassing the pace of classical…

Quantum Physics · Physics 2024-11-26 Hyunju Lee , Kyungtaek Jun