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Solving combinatorial optimization problems on current noisy quantum devices is currently being advocated for (and restricted to) binary polynomial optimization with equality constraints via quantum heuristic approaches. This is achieved…

Quantum Physics · Physics 2021-02-04 Claudio Gambella , Andrea Simonetto

Problems related to wavelength assignment (WA) in optical communications networks involve allocating transmission wavelengths for known transmission paths between nodes that minimize a certain objective function, for example, the total…

We present a method to formulate the unit commitment problem in energy production as quadratic unconstrained binary optimization (QUBO) problem, which can be solved by classical algorithms and quantum computers. We suggest a first approach…

Quantum Physics · Physics 2023-01-04 M. C. Braun , T. Decker , N. Hegemann , S. F. Kerstan , F. Lorenz

Quantum annealers (QAs) are specialized quantum computers that minimize objective functions over discrete variables by physically exploiting quantum effects. Current QA platforms allow for the optimization of quadratic objectives defined…

Emerging Technologies · Computer Science 2018-11-07 Zhengbing Bian , Fabian Chudak , William Macready , Aidan Roy , Roberto Sebastiani , Stefano Varotti

Quantum Annealing (QA) can be used to quickly obtain near-optimal solutions for Quadratic Unconstrained Binary Optimization (QUBO) problems. In QA hardware, each decision variable of a QUBO should be mapped to one or more adjacent qubits in…

Data Structures and Algorithms · Computer Science 2021-01-21 Thiago Serra , Teng Huang , Arvind Raghunathan , David Bergman

Quantum algorithms have shown promise in solving Quadratic Unconstrained Binary Optimization (QUBO) problems, benefiting from their connection to the transverse field Ising model. Various Ising solvers, both classical and quantum, have…

Optimization and Control · Mathematics 2025-09-16 Zedong Peng , Daniel de Roux , David E. Bernal Neira

We present a novel quantum optimization-based route compression technique that significantly reduces storage requirements compared to conventional methods. Route optimization systems face critical challenges in efficiently storing selected…

Quantum Physics · Physics 2025-04-07 Shunsuke Sotobayashi , Yuichiro Minato , Takao Tomono

Advancements in quantum computing are fuelling emerging applications across disciplines, including finance, where quantum and quantum-inspired algorithms can now make market predictions, detect fraud, and optimize portfolios. Expanding this…

Quantum Physics · Physics 2023-01-06 Anna G. Hughes , Jack S. Baker , Santosh Kumar Radha

From the perspective of global warming, efficiency improvement of power grids is a pressing issue. Power grids have many switching devices to control the flow of electricity. Since there is a slight resistance in the wires and power…

Quantum Physics · Physics 2023-05-16 Masaya Takahashi , Hiroaki Nishioka , Masahiro Hirai , Hidetaka Takano

In more recent years, there has been increasing research interest in exploiting the use of application specific hardware for solving optimisation problems. Examples of solvers that use specialised hardware are IBM's Quantum System One and…

Neural and Evolutionary Computing · Computer Science 2022-11-14 Mayowa Ayodele

The reconstruction of charged particles will be a key computing challenge for the high-luminosity Large Hadron Collider (HL-LHC) where increased data rates lead to large increases in running time for current pattern recognition algorithms.…

Quantum Physics · Physics 2019-02-25 Frederic Bapst , Wahid Bhimji , Paolo Calafiura , Heather Gray , Wim Lavrijsen , Lucy Linder

We propose an algorithm inspired by optical coherent Ising machines to solve the problem of polynomial unconstrained binary optimization (PUBO). We benchmark the proposed algorithm against existing PUBO algorithms on the extended…

Quantum Random Access Optimizer (QRAO) is a quantum-relaxation based optimization algorithm proposed by Fuller et al. that utilizes Quantum Random Access Code (QRAC) to encode multiple variables of binary optimization in a single qubit.…

Quantum Physics · Physics 2023-04-11 Kosei Teramoto , Rudy Raymond , Hiroshi Imai

The vehicle routing problem with time windows (VRPTW) is a common optimization problem faced within the logistics industry. In this work, we explore the use of a previously-introduced qubit encoding scheme to reduce the number of binary…

Quantum Physics · Physics 2023-09-20 Ioannis D. Leonidas , Alexander Dukakis , Benjamin Tan , Dimitris G. Angelakis

Molecular docking, which aims to find the most stable interacting configuration of a set of molecules, is of critical importance to drug discovery. Although a considerable number of classical algorithms have been developed to carry out…

Biomolecules · Quantitative Biology 2022-10-21 Mohit Pandey , Tristan Zaborniak , Hans Melo , Alexey Galda , Vikram K. Mulligan

Quantum Approximate Optimization Algorithm (QAOA) can be used to solve quadratic unconstrained binary optimization (QUBO) problems. However, the size of the solvable problem is limited by the number of qubits. To leverage noisy…

Quantum Physics · Physics 2025-06-10 Wending Zhao , Gaoxiang Tang

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

Many applications in automated auditing and the analysis and consistency check of financial documents can be formulated in part as the subset sum problem: Given a set of numbers and a target sum, find the subset of numbers that sums up to…

Optimization and Control · Mathematics 2022-11-07 David Biesner , Thore Gerlach , Christian Bauckhage , Bernd Kliem , Rafet Sifa

Density matrix electronic structure theory is used in many quantum chemistry methods to "alleviate" the computational cost that arises from directly using wave functions. Although density matrix based methods are computationally more…

In the quantum optimization paradigm, variational quantum algorithms face challenges with hardware-specific and instance-dependent parameter tuning, which can lead to computational inefficiencies. The promising potential of parameter…

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