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Related papers: The Potential of Quantum Annealing for Rapid Solut…

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Quantum annealing is analogous to simulated annealing with a tunneling mechanism substituting for thermal activation. Its performance has been tested in numerical simulation with mixed conclusions. There is a class of optimization problems…

Quantum Physics · Physics 2010-07-19 Thomas Jorg , Florent Krzakala , Jorge Kurchan , A. C. Maggs

I describe how real quantum annealers may be used to perform local (in state space) searches around specified states, rather than the global searches traditionally implemented in the quantum annealing algorithm. The quantum annealing…

Emerging Technologies · Computer Science 2016-06-23 Nicholas Chancellor

We present a quantum annealing-based solution method for topology optimization (TO). In particular, we consider TO in a more general setting, i.e., applied to structures of continuum domains where designs are represented as distributed…

Numerical Analysis · Mathematics 2023-01-30 Zisheng Ye , Xiaoping Qian , Wenxiao Pan

These notes discuss the quantum algorithms we know of that can solve problems significantly faster than the corresponding classical algorithms. So far, we have only discovered a few techniques which can produce speed up versus classical…

Quantum Physics · Physics 2007-05-23 Peter W. Shor

Efficient production planning is essential in modern manufacturing to improve performance indicators such as lead time and to reduce reliance on human intuition. While mathematical optimization approaches, formulated as job shop scheduling…

Quantum Physics · Physics 2025-11-06 Kenta Sawamura , Kensuke Araki , Naoki Maruyama , Renichiro Haba , Masayuki Ohzeki

With the increasing popularity of quantum computing and in particular quantum annealing, there has been growing research to evaluate the meta-heuristic for various problems in linear algebra: from linear least squares to matrix and tensor…

Quantum Physics · Physics 2024-10-28 Ajinkya Borle , Samuel J. Lomonaco

Quantum annealing solves combinatorial optimization problems by finding the energetic ground states of an embedded Hamiltonian. However, quantum annealing dynamics under the embedded Hamiltonian may violate the principles of adiabatic…

Quantum Physics · Physics 2021-04-08 Erica Grant , Travis Humble

We present a novel formulation of structural design optimization problems specifically tailored to be solved by quantum annealing (QA). Structural design optimization aims to find the best, i.e., material-efficient yet high-performance,…

Computational Engineering, Finance, and Science · Computer Science 2024-04-17 Fabian Key , Lukas Freinberger

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

Quantum annealing is a promising algorithm for solving combinatorial optimization problems. However, various hardware restrictions significantly impede its efficient performance. Size-reduction methods provide an effective approach for…

Statistical Mechanics · Physics 2025-07-22 Tomohiro Hattori , Hirotaka Irie , Tadashi Kadowaki , Shu Tanaka

We explore the potential application of quantum annealing to address the protein structure problem. To this end, we compare several proposed ab initio protein folding models for quantum computers and analyze their scaling and performance…

Quantum Physics · Physics 2026-04-27 Timon Scheiber , Matthias Heller , Andreas Giebel

This paper explores the applications of quantum annealing (QA) and classical simulated annealing (SA) to a suite of combinatorial optimization problems in machine learning, namely feature selection, instance selection, and clustering. We…

Quantum Physics · Physics 2025-07-22 Chloe Pomeroy , Aleksandar Pramov , Karishma Thakrar , Lakshmi Yendapalli

Combinatorial optimization is a challenging problem applicable in a wide range of fields from logistics to finance. Recently, quantum computing has been used to attempt to solve these problems using a range of algorithms, including…

Quantum Physics · Physics 2024-03-06 Jonathan Wurtz , Stefan Sack , Sheng-Tao Wang

Quantum annealing is an optimization technique which potentially leverages quantum tunneling to enhance computational performance. Existing quantum annealers use superconducting flux qubits with short coherence times, limited primarily by…

We introduce a novel approach to solving dynamic programming problems, such as those in many economic models, on a quantum annealer, a specialized device that performs combinatorial optimization. Quantum annealers attempt to solve an…

General Economics · Economics 2023-06-08 Jesús Fernández-Villaverde , Isaiah Hull

Recent demonstrations on specialized benchmarks have reignited excitement for quantum computers, yet whether they can deliver an advantage for practical real-world problems remains an open question. Here, we show that probabilistic…

Quantum computers based on superconducting circuits are experiencing a rapid development, aiming at outperforming classical computers in certain useful tasks in the near future. However, the currently available chip fabrication technologies…

Quantum Physics · Physics 2020-07-29 Asier Galicia , Borja Ramon , Enrique Solano , Mikel Sanz

Unit Commitment (UC) is a core optimization problem in power system operation and electricity market scheduling. It determines the optimal on/off status and dispatch of generating units while satisfying system, operational, and market…

Quantum Physics · Physics 2026-01-06 Milad Hasanzadeh , Ali Rajabi , Amin Kargarian

Quantum annealing may provide advantages over simulated annealing on solving some problems such as Kth order binary optimization problem. No feasible architecture exists to implement the high-order optimization problem (K > 2) on current…

Quantum Physics · Physics 2016-05-13 Yong-Chao Tang , Guo-Xing Miao

Quantum algorithms could efficiently solve certain classically intractable problems by exploiting quantum parallelism. To date, whether the quantum entanglement is useful or not for quantum computing is still a question of debate. Here, we…

Quantum Physics · Physics 2018-01-24 He-Liang Huang , Ashutosh K. Goswami , Wan-Su Bao , Prasanta K. Panigrahi