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The availability of quantum annealing devices with hundreds of qubits has made the experimental demonstration of a quantum speedup for optimization problems a coveted, albeit elusive goal. Going beyond earlier studies of random Ising…

Quantum Physics · Physics 2015-11-03 Itay Hen , Joshua Job , Tameem Albash , Troels F. Rønnow , Matthias Troyer , Daniel Lidar

For almost two decades the question of whether tabu search (TS) or simulated annealing (SA) performs better for the quadratic assignment problem has been unresolved. To answer this question satisfactorily, we compare performance at various…

Data Structures and Algorithms · Computer Science 2010-10-04 Gerald Paul

Solving discrete NP-hard problems is an important part of scientific discoveries and operations research as well as many commercial applications. A commonly used metric to compare meta-heuristic solvers is the time required to obtain an…

Quantum Physics · Physics 2021-10-26 Alex Zucca , Hossein Sadeghi , Masoud Mohseni , Mohammad H. Amin

Here we explore which heuristic quantum algorithms for combinatorial optimization might be most practical to try out on a small fault-tolerant quantum computer. We compile circuits for several variants of quantum accelerated simulated…

We evaluate the application of quantum annealing (QA) to a real-world combinatorial optimisation problem-room scheduling for sports camps at the Australian Institute of Sport-using both classical and quantum approaches. Due to current…

Quantum Physics · Physics 2025-09-08 Krzysztof Giergiel , Y. Sam Yang , Anthony B. Murphy

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

This work is a benchmark study for quantum-classical computing method with a real-world optimization problem from industry. The problem involves scheduling and balancing jobs on different machines, with a non-linear objective function. We…

Quantum Physics · Physics 2024-08-06 Abhishek Awasthi , Nico Kraus , Florian Krellner , David Zambrano

The first quantum computers are expected to perform well at quadratic optimisation problems. In this paper a quadratic problem in finance is taken, the Portfolio Optimisation problem. Here, a set of assets is chosen for investment, such…

Portfolio Management · Quantitative Finance 2020-12-03 Frank Phillipson , Harshil Singh Bhatia

This work investigates the performance of numerical optimization algorithms applied to the State-Averaged Orbital-Optimized Variational Quantum Eigensolver for the H2 molecule under various quantum noise conditions. The goal is to assess…

Quantum Physics · Physics 2026-03-23 Silvie Illésová , Tomáš Bezděk , Vojtěch Novák , Bruno Senjean , Martin Beseda

Quantum annealing and D-Wave quantum annealer attracted considerable attention for their ability to solve combinatorial optimization problems. In order to solve other type of optimization problems, it is necessary to apply certain kinds of…

Quantum Physics · Physics 2021-05-31 Michiya Kuramata , Ryota Katsuki , Kazuhide Nakata

Numerous established machine learning models and various neural network architectures can be restructured as Quadratic Unconstrained Binary Optimization (QUBO) problems. A significant challenge in Adiabatic Quantum Machine Learning (AQML)…

Quantum Physics · Physics 2025-05-15 Bahram Alidaee , Haibo Wang , Lutfu Sua , Wade Liu

For various optimization problems, the classical time to solution is super-polynomial and intractable to solve with classical bit-based computing hardware to date. Digital and quantum annealers have the potential to identify near-optimal…

Quantum Physics · Physics 2025-11-05 Milind Upadhyay , Mark Nicholas Jones

In this paper, we evaluate the performance of four randomized optimization algorithms: Randomized Hill Climbing (RHC), Simulated Annealing (SA), Genetic Algorithms (GA), and MIMIC (Mutual Information Maximizing Input Clustering), across…

Neural and Evolutionary Computing · Computer Science 2025-01-30 Jethro Odeyemi , Wenjun Zhang

The recent availability of the first commercial quantum computers has provided a promising tool to tackle NP hard problems which can only be solved heuristically with present techniques. However, it is unclear if the current state of…

Quantum Physics · Physics 2018-02-01 Hristo N. Djidjev , Guillaume Chapuis , Georg Hahn , Guillaume Rizk

In this paper we propose a set of guidelines to select a solver for the solution of nonlinear programming problems. With this in mind, we present a comparison of the convergence performances of commonly used solvers for both unconstrained…

Optimization and Control · Mathematics 2024-03-18 Giovanni Lavezzi , Kidus Guye , Marco Ciarcià

We combine the fields of heuristic optimization and optimal stopping. We propose a strategy for benchmarking randomized optimization algorithms that minimizes the expected total cost for obtaining a good solution with an optimal number of…

Quantum Physics · Physics 2016-12-07 Walter Vinci , Daniel A. Lidar

The D-Wave adiabatic quantum annealer solves hard combinatorial optimization problems leveraging quantum physics. The newest version features over 1000 qubits and was released in August 2015. We were given access to such a machine,…

Databases · Computer Science 2015-10-23 Immanuel Trummer , Christoph Koch

In this letter, we study the analogue pre/post-coding vector design for a point-to-point multiple-input multiple-output (MIMO) system with 1-bit phase shifters. Specifically, we focus on the signal-to-noise ratio (SNR) maximization problem…

Information Theory · Computer Science 2024-03-26 Ioannis Krikidis

Combinatorial optimization problems are one of the target applications of current quantum technology, mainly because of their industrial relevance, the difficulty of solving large instances of them classically, and their equivalence to…

Quantum Physics · Physics 2024-06-10 J. A. Montanez-Barrera , Pim van den Heuvel , Dennis Willsch , Kristel Michielsen

A flexible job shop scheduling problem (FJSSP) poses a complex optimization task in modeling real-world process scheduling tasks with conflicting objectives. To tackle FJSSPs, approximation methods are employed to ensure solutions are…

Quantum Physics · Physics 2024-08-29 Philipp Schworm , Xiangqian Wu , Matthias Klar , Jan C. Aurich
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