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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…

Data Structures and Algorithms · Computer Science 2019-11-06 Fred Glover , Gary Kochenberger , Yu Du

Classical and quantum annealing are computing paradigms that have been proposed to solve a wide range of optimization problems. In this paper, we aim to enhance the performance of annealing algorithms by introducing the technique of…

Quantum Physics · Physics 2022-09-13 Eric R. Anschuetz , Lena Funcke , Patrick T. Komiske , Serhii Kryhin , Jesse Thaler

Mixed-integer linear programming problems are extensively used in industry for a wide range of optimization tasks. However, as they get larger, they present computational challenges for classical solvers within practical time limits.…

Quantum Physics · Physics 2026-01-21 Sergio López-Baños , Elisabeth Lobe , Ontje Lünsdorf , Oriol Raventós

In this work, we review quantum approaches to combinatorial optimization, with the aim of bridging theoretical developments and industrial relevance. We first survey the main families of quantum algorithms, including Quantum Annealing, the…

Quantum Physics · Physics 2026-03-20 Hala Hawashin , Deep Nath , Marco Alberto Javarone

Using drones to perform human-related tasks can play a key role in various fields, such as defense, disaster response, agriculture, healthcare, and many others. The drone delivery packing problem (DDPP) arises in the context of logistics in…

Combinatorics · Mathematics 2026-02-19 Sara Tarquini , Daniele Dragoni , Matteo Vandelli , Francesco Tudisco

In recent years, Variational Quantum Algorithms (VQAs) have emerged as a promising approach for solving optimization problems on quantum computers in the NISQ era. However, one limitation of VQAs is their reliance on fixed-structure…

Quantum Physics · Physics 2026-03-03 Gloria Turati , Maurizio Ferrari Dacrema , Paolo Cremonesi

The routing and wavelength assignment with protection is an important problem in telecommunications. Given an optical network and incoming connection requests, a commonly studied variant of the problem aims to grant maximum number of…

Optimization and Control · Mathematics 2021-06-09 Oylum Şeker , Merve Bodur , Hamed Pouya

Quantum computers use quantum resources to carry out computational tasks and may outperform classical computers in solving certain computational problems. Special-purpose quantum computers such as quantum annealers employ quantum adiabatic…

Other Statistics · Statistics 2021-01-19 Xinyu Song , Yazhen Wang , Shang Wu , Donggyu Kim

Quadratic Unconstrained Binary Optimization (QUBO) sits at the heart of many industries and academic fields such as logistics, supply chain, finance, pharmaceutical science, chemistry, IT, and energy sectors, among others. These problems…

Quantum Physics · Physics 2025-12-02 Chia-Tso Lai , Carsten Blank , Peter Schmelcher , Rick Mukherjee

Recent work [1] has claimed that a gate-model quantum-classical hybrid algorithm called bias-field digitized counterdiabatic quantum optimization (BF-DCQO) [2] outperforms D-Wave's annealing quantum computers in optimization tasks. We find…

Quantum Physics · Physics 2025-09-19 Pau Farré , Erika Ordog , Kevin Chern , Catherine C. McGeoch

Heterogeneous HPC workflow scheduling under multiple hard constraints poses a challenging combinatorial optimization problem. Classical exact solvers guarantee optimality but face scalability limits, motivating interest in quantum-inspired…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-26 Aasish Kumar Sharma , Christian Boehme , Julian Kunkel

Recent works on quantum algorithms for solving semidefinite optimization (SDO) problems have leveraged a quantum-mechanical interpretation of positive semidefinite matrices to develop methods that obtain quantum speedups with respect to the…

Quantum Physics · Physics 2025-06-06 Brandon Augustino , Giacomo Nannicini , Tamás Terlaky , Luis Zuluaga

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

Combinatorial optimization problems play a central role in computer science with many real world applications. A number of relevant problems remain computationally difficult to solve as they lie in the NP-hard complexity class. We present a…

Quantum Physics · Physics 2026-05-11 Kapil Goswami , Peter Schmelcher

In solving optimization problems, objective functions generally need to be minimized or maximized. However, objective functions cannot always be formulated explicitly in a mathematical form for complicated problem settings. Although several…

Statistical Mechanics · Physics 2021-07-20 Ami S. Koshikawa , Masayuki Ohzeki , Tadashi Kadowaki , Kazuyuki Tanaka

The Quantum Approximate Optimization Algorithm (QAOA) is among leading candidates for achieving quantum advantage on near-term processors. While typically implemented with a transverse-field mixer (XM-QAOA), the Grover-mixer variant…

Quantum Physics · Physics 2026-01-01 Evgeniy O. Kiktenko , Elizaveta V. Krendeleva , Aleksey K. Fedorov

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…

Quantum Physics · Physics 2024-04-04 Thore Gerlach , Sascha Mücke

In the pursuit of achieving near-term quantum advantage for combinatorial optimization problems, the Quantum Approximate Optimization Algorithm (QAOA) and the Variational Quantum Eigensolver (VQE) are the primary methods of interest, but…

Quantum Physics · Physics 2025-03-06 Adelina Bärligea , Benedikt Poggel , Jeanette Miriam Lorenz

Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the…

Quantum Physics · Physics 2022-02-10 Hiroki Oshiyama , Masayuki Ohzeki

Diagnosing the minimal set of faults capable of explaining a set of given observations, e.g., from sensor readouts, is a hard combinatorial optimization problem usually tackled with artificial intelligence techniques. We present the mapping…