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Quantum annealing promises to be an effective heuristic for complex NP-hard problems. However, clear demonstrations of quantum advantage are wanting, primarily constrained by the difficulty of embedding the problem into the quantum…

Quantum Physics · Physics 2022-11-15 Minjae Jo , Michael Hanks , M. S. Kim

Real-world optimization problems must undergo a series of transformations before becoming solvable on current quantum hardware. Even for a fixed problem, the number of possible transformation paths -- from industry-relevant formulations…

Posiform planting is a method for constructing QUBO problems with a single unique planted solution that can be tailored to arbitrary connectivity graphs. In this study we investigate making posiform planted QUBOs computationally harder by…

Quantum Physics · Physics 2025-09-16 Elijah Pelofske , Georg Hahn , Hristo Djidjev

Quantum annealing algorithms belong to the class of metaheuristic tools, applicable for solving binary optimization problems. Hardware implementations of quantum annealing, such as the quantum annealing machines produced by D-Wave Systems,…

Quantum Physics · Physics 2017-09-18 Florian Neukart , David Von Dollen , Christian Seidel , Gabriele Compostella

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

Recent hardware advances in quantum and quantum-inspired annealers promise substantial speedup for solving NP-hard combinatorial optimization problems compared to general-purpose computers. These special-purpose hardware are built for…

Quantum Physics · Physics 2020-01-06 Avradip Mandal , Arnab Roy , Sarvagya Upadhyay , Hayato Ushijima-Mwesigwa

We introduce VeloxQ, a fast solver for Quadratic Unconstrained Binary Optimization (QUBO) problems, which are central to many real-world optimization tasks. Unlike approaches that depend on emerging quantum hardware, VeloxQ can be deployed…

Quantum Physics · Physics 2026-05-05 J. Pawłowski , J. Tuziemski , P. Tarasiuk , H. Louzada , R. Adamski , K. Hendzel , Ł. Pawela , B. Gardas

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

This paper presents two novel approaches for solving the set cover problem (SCP) with multiple inequality constraints on quantum annealers. The first method uses the augmented Lagrangian approach to represent the constraints, while the…

Quantum Physics · Physics 2023-02-23 Hristo N. Djidjev

We propose an iterative quantum-assisted least squares (i-QLS) optimization method that leverages quantum annealing to overcome the scalability and precision limitations of prior quantum least squares approaches. Unlike traditional…

With the advent of quantum computers, researchers are exploring if quantum mechanics can be leveraged to solve important problems in ways that may provide advantages not possible with conventional or classical methods. A previous work by…

Quantum Physics · Physics 2018-11-02 Ajinkya Borle , Samuel J. Lomonaco

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…

Quantum annealing is a framework for solving combinatorial optimization problems. While it offers a promising path towards a practical application of quantum hardware, its performance in real-world devices is severely limited by…

To increase efficiency in automotive manufacturing, newly produced vehicles can move autonomously from the production line to the distribution area. This requires an optimal placement of sensors to ensure full coverage while minimizing the…

Emerging Technologies · Computer Science 2025-07-23 Nico Kraus , Marvin Erdmann , Alexander Kuzmany , Daniel Porawski , Jonas Stein

Commercial adiabatic quantum annealers have the potential to solve important NP-hard optimization problems efficiently. The newest generation of those machines additionally allows the user to customize the anneal schedule, that is, the…

Quantum Physics · Physics 2023-06-13 Elijah Pelofske , Georg Hahn , Hristo Djidjev

In current mobile networks, optimizing which base station a mobile phone in a particular area connects to is crucial for ensuring good communication quality for each mobile phone but presents a challenging combinatorial optimization…

Quantum Physics · Physics 2024-12-30 Taisei Takabayashi , Shoichi Sudo , Toshihiro Aoki , Shun Seo , Masayuki Ohzeki

Constrained combinatorial optimization problems are frequently reformulated as quadratic unconstrained binary optimization (QUBO) models in order to leverage emerging quantum optimization algorithms such as the Variational Quantum…

Quantum Physics · Physics 2026-04-23 Xin Wei Lee , Hoong Chuin Lau

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

Quantum annealing has emerged as a promising approach for solving NP-hard optimization problems, leveraging quantum phenomena such as quantum tunneling to navigate complex energy landscapes. However, the extent to which quantum tunneling…

Quantum Physics · Physics 2026-03-02 Vishwajeet Ohal , Pierre Boulanger

Quantum annealing is a quantum algorithm to solve combinatorial optimization problems. In the current quantum annealing devices, the dynamic range of the input Ising Hamiltonian, defined as the ratio of the largest to the smallest…

Quantum Physics · Physics 2026-04-07 Kentaro Ohno , Nozomu Togawa
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