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Quantum optimization is the most mature quantum computing technology to date, providing a promising approach towards efficiently solving complex combinatorial problems. Methods such as adiabatic quantum computing (AQC) have been employed in…

A challenge for scalability of demand-responsive, elastic optical Dense Wavelength Division Multiplexing (DWDM) and Flexgrid networks is the computational complexity of allocating many optical routes on large networks. We demonstrate that…

网络与互联网体系结构 · 计算机科学 2024-02-13 Ethan Davies , Darren Banfield , Vlad Carare , Ben Weaver , Catherine White , Nigel Walker

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…

量子物理 · 物理学 2025-07-22 Chloe Pomeroy , Aleksandar Pramov , Karishma Thakrar , Lakshmi Yendapalli

Digitized adiabatic quantum factorization is a hybrid algorithm that exploits the advantage of digitized quantum computers to implement efficient adiabatic algorithms for factorization through gate decompositions of analog evolutions. In…

量子物理 · 物理学 2026-02-05 Felip Pellicer , Juan José García-Ripoll , Alan C. Santos

In this paper we present a novel strategy to solve optimization problems within a hybrid quantum-classical scheme based on quantum annealing, with a particular focus on QUBO problems. The proposed algorithm is based on an iterative…

量子物理 · 物理学 2020-04-07 Enrico Blanzieri , Davide Pastorello

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

Boltzmann Machines constitute a class of neural networks with applications to image reconstruction, pattern classification and unsupervised learning in general. Their most common variants, called Restricted Boltzmann Machines (RBMs) exhibit…

量子物理 · 物理学 2020-03-30 Lorenzo Rocutto , Claudio Destri , Enrico Prati

With the advances in customized hardware for quantum annealing and digital/CMOS Annealing, Quadratic Unconstrained Binary Optimization (QUBO) models have received growing attention in the optimization literature. Motivated by an existing…

量子物理 · 物理学 2024-04-05 Oksana Pichugina , Yingcong Tan , Christopher Beck

A multi-objective logistics optimization problem from a real-world supply chain is formulated as a Quadratic Unconstrained Binary Optimization Problem (QUBO) that minimizes cost, emissions, and delivery time, while maintaining target…

最优化与控制 · 数学 2026-02-06 Raoul Heese , Timothée Leleu , Sam Reifenstein , Christian Nietner , Yoshihisa Yamamoto

Advances in quantum algorithms suggest a tentative scaling advantage on certain combinatorial optimization problems. Recent work, however, has also reinforced the idea that barren plateaus render variational algorithms ineffective on large…

量子物理 · 物理学 2025-03-14 Tim Bode , Krish Ramesh , Tobias Stollenwerk

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…

最优化与控制 · 数学 2025-09-16 Zedong Peng , Daniel de Roux , David E. Bernal Neira

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…

量子物理 · 物理学 2021-05-31 Michiya Kuramata , Ryota Katsuki , Kazuhide Nakata

We assess the prospects for algorithms within the general framework of quantum annealing (QA) to achieve a quantum speedup relative to classical state of the art methods in combinatorial optimization and related sampling tasks. We argue for…

量子物理 · 物理学 2021-06-22 E. J. Crosson , D. A. Lidar

In recent years, formulating various combinatorial optimization problems as Quadratic Unconstrained Binary Optimization (QUBO) has gained significant attention as a promising approach for efficiently obtaining optimal or near-optimal…

最优化与控制 · 数学 2025-04-14 Kyo Kuroki , Thiem Van Chu , Masato Motomura , Kazushi Kawamura

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…

Quantum annealing offers a promising paradigm for solving NP-hard combinatorial optimization problems, but its practical application is severely hindered by two challenges: the complex, manual process of translating problem descriptions…

机器学习 · 计算机科学 2025-09-03 Huixiang Zhang , Mahzabeen Emu , Salimur Choudhury

In adiabatic quantum computing the aim is to track an eigenstate as the Hamiltonian changes. In the usual setup this is achieved using the natural time-dependent Hamiltonian evolution of the system and the main technical tool is the…

量子物理 · 物理学 2026-05-29 Joseph Cunningham , Jérémie Roland

An adiabatic quantum algorithm is essentially given by three elements: An initial Hamiltonian with known ground state, a problem Hamiltonian whose ground state corresponds to the solution of the given problem and an evolution schedule such…

量子物理 · 物理学 2019-09-17 Davide Pastorello , Enrico Blanzieri

Factorization Machine (FM) is the most commonly used model to build a recommendation system since it can incorporate side information to improve performance. However, producing item suggestions for a given user with a trained FM is…

量子物理 · 物理学 2023-11-09 Chen-Yu Liu , Hsin-Yu Wang , Pei-Yen Liao , Ching-Jui Lai , Min-Hsiu Hsieh

Quantum annealing is a continuous-time heuristic quantum algorithm for solving or approximately solving classical optimization problems. The algorithm uses a schedule to interpolate between a driver Hamiltonian with an easy-to-prepare…