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Quantum annealing has emerged as a powerful tool for solving combinatorial optimization problems efficiently, making use of the principles of quantum mechanics. Companies are increasingly investing in the market of quantum computers,…

量子物理 · 物理学 2025-09-29 Lorenzo Mazzei , Giada Beccari , Mirko Laruina , Marco Cococcioni

In this paper, we initiate the study of quantum algorithms in the Graph Drawing research area. We focus on two foundational drawing standards: 2-level drawings and book layouts. Concerning $2$-level drawings, we consider the problems of…

数据结构与算法 · 计算机科学 2023-07-18 Susanna Caroppo , Giordano Da Lozzo , Giuseppe Di Battista

We propose a new kernel that quantifies success for the task of computing a core-periphery partition for an undirected network. Finding the associated optimal partitioning may be expressed in the form of a quadratic unconstrained binary…

社会与信息网络 · 计算机科学 2022-01-06 Catherine F. Higham , Desmond J. Higham , Francesco Tudisco

We investigate the performance of penalty-based quantum annealing (PQA) and constrained quantum annealing (CQA) in solving the graph partitioning problem under various noise models, including depolarizing, bit-flip, and phase-flip noise. We…

量子物理 · 物理学 2024-10-24 Ryoya Igata , Myonsok I , Yuya Seki , Yuta Mizuno , Shohei Watabe

To solve an optimization problem using a commercial quantum annealer, one has to represent the problem of interest as an Ising or a quadratic unconstrained binary optimization (QUBO) problem and submit its coefficients to the annealer,…

量子物理 · 物理学 2023-06-13 Elijah Pelofske , Georg Hahn , Hristo Djidjev

Minor embedding heuristics have become an indispensable tool for compiling problems in quadratically unconstrained binary optimization (QUBO) into the hardware graphs of quantum and CMOS annealing processors. While recent embedding…

Quantum annealing is a specialized type of quantum computation that aims to use quantum fluctuations in order to obtain global minimum solutions of combinatorial optimization problems. Programmable D-Wave quantum annealers are available as…

量子物理 · 物理学 2023-10-10 Elijah Pelofske , Georg Hahn , Hristo Djidjev

Quantum adiabatic optimization seeks to solve combinatorial problems using quantum dynamics, requiring the Hamiltonian of the system to align with the problem of interest. However, these Hamiltonians are often incompatible with the native…

Resource allocation of wide-area internet networks is inherently a combinatorial optimization problem that if solved quickly, could provide near real-time adaptive control of internet-protocol traffic ensuring increased network efficacy and…

量子物理 · 物理学 2024-05-21 Arthur Witt , Jangho Kim , Christopher Körber , Thomas Luu

In wireless communication networks, it is difficult to solve many NP-hard problems owing to computational complexity and high cost. Recently, quantum annealing (QA) based on quantum physics was introduced as a key enabler for solving…

Quantum phenomena have the potential to speed up the solution of hard optimization problems. For example quantum annealing, based on the quantum tunneling effect, has recently been shown to scale exponentially better with system size as…

量子物理 · 物理学 2017-04-27 Simon E. Nigg , Niels Loerch , Rakesh P. Tiwari

A quantum annealer heuristically minimizes quadratic unconstrained binary optimization (QUBO) problems, but is limited by the physical hardware in the size and density of the problems it can handle. We have developed a meta-heuristic solver…

离散数学 · 计算机科学 2016-05-20 Gili Rosenberg , Mohammad Vazifeh , Brad Woods , Eldad Haber

The spread of intelligent transportation systems in urban cities has caused heavy computational loads, requiring a novel architecture for managing large-scale traffic. In this study, we develop a method for globally controlling traffic…

最优化与控制 · 数学 2021-02-02 Daisuke Inoue , Akihisa Okada , Tadayoshi Matsumori , Kazuyuki Aihara , Hiroaki Yoshida

We briefly review various computational methods for the solution of optimization problems. First, several classical methods such as Metropolis algorithm and simulated annealing are discussed. We continue with a description of quantum…

统计力学 · 物理学 2015-12-01 Eliahu Cohen , Boaz Tamir

In this work, we attempt to solve the integer-weight knapsack problem using the D-Wave 2000Q adiabatic quantum computer. The knapsack problem is a well-known NP-complete problem in computer science, with applications in economics, business,…

量子物理 · 物理学 2020-08-18 Lauren Pusey-Nazzaro , Prasanna Date

Recent advances in the development of commercial quantum annealers such as the D-Wave 2X allow solving NP-hard optimization problems that can be expressed as quadratic unconstrained binary programs. However, the relatively small number of…

量子物理 · 物理学 2018-02-01 Georg Hahn , Hristo N. Djidjev

The 2D phase unwrapping problem seeks to recover a phase image from its observation modulo 2$\pi$, and is a crucial step in a variety of imaging applications. In particular, it is one of the most time-consuming steps in the interferometric…

最优化与控制 · 数学 2024-01-19 Benjamin Dubois-Taine , Roland Akiki , Alexandre d'Aspremont

We investigate the use of quantum computing algorithms on real quantum hardware to tackle the computationally intensive task of feature selection for light-weight medical image datasets. Feature selection is often formulated as a k of n…

量子物理 · 物理学 2025-02-27 Merlin A. Nau , Luca A. Nutricati , Bruno Camino , Paul A. Warburton , Andreas K. Maier

We investigate a hybrid quantum-classical solution method to the mean-variance portfolio optimization problems. Starting from real financial data statistics and following the principles of the Modern Portfolio Theory, we generate…

量子物理 · 物理学 2019-07-01 Davide Venturelli , Alexei Kondratyev

Recent work [Sachdeva et al.] presented an iterative hybrid quantum variational optimization algorithm designed by Q-CTRL and executed on IBM gate-based quantum processing units (QPUs), claiming a significant performance advantage against a…

量子物理 · 物理学 2024-06-28 Catherine C. McGeoch , Kevin Chern , Pau Farré , Andrew K. King