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Solving combinatorial optimization problems efficiently through emerging hardware by converting the problem to its equivalent Ising model and obtaining its ground state is known as Ising computing. Phase-binarized oscillators (PBO), modeled…

Many emerging commercial services are based on the sharing or pooling of resources for common use with the aim of reducing costs. Businesses such as delivery-, mobility-, or transport-as-a-service have become standard in many parts of the…

量子物理 · 物理学 2022-12-13 Michele Cattelan , Sheir Yarkoni

Unconstrained binary integer programming (UBIP) poses significant computational challenges due to its discrete nature. We introduce a novel reformulation approach using a piecewise cubic function that transforms binary constraints into…

最优化与控制 · 数学 2025-10-28 Shuai Li , Shenglong Zhou

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…

A range of quantum algorithms, especially those leveraging variational parameterization and circuit-based optimization, are being studied as alternatives for solving classically intractable combinatorial optimization problems (COPs).…

量子物理 · 物理学 2025-06-18 Monit Sharma , Hoong Chuin Lau

Combinatorial optimization is of general interest for both theoretical study and real-world applications. Fast-developing quantum algorithms provide a different perspective on solving combinatorial optimization problems. In this paper, we…

数据结构与算法 · 计算机科学 2022-09-07 Tianyi Hao , Xuxin Huang , Chunjing Jia , Cheng Peng

Photonic Ising Machines constitute an emergent new paradigm of computation, geared towards tackling combinatorial optimization problems that can be reduced to the problem of finding the ground state of an Ising model. Spatial Photonic Ising…

Quantum computers show potential for achieving computational advantage over classical computers, with many candidate applications in combinatorial optimisation. We present an application level benchmarking framework for near-term quantum…

Combinatorial optimization problems pose significant computational challenges across various fields, from logistics to cryptography. Traditional computational methods often struggle with their exponential complexity, motivating exploration…

量子物理 · 物理学 2024-09-24 Mateusz Slysz , Krzysztof Kurowski , Grzegorz Waligóra

Quantum computing is developing fast. Real world applications are within reach in the coming years. One of the most promising areas is combinatorial optimisation, where the Quadratic Unconstrained Binary Optimisation (QUBO) problem…

量子物理 · 物理学 2020-07-06 Frank Phillipson , Irina Chiscop

Bayesian optimization works effectively optimizing parameters in black-box problems. However, this method did not work for high-dimensional parameters in limited trials. Parameters can be efficiently explored by nonlinearly embedding them…

机器学习 · 计算机科学 2022-06-14 Shoki Miyagawa , Atsuyoshi Yano , Naoko Sawada , Isamu Ogawa

To tackle combinatorial optimization problems using an Ising machine, the objective function and constraints must be mapped onto a quadratic unconstrained binary optimization (QUBO) model. While QUBO involves binary variables, combinatorial…

统计力学 · 物理学 2025-01-22 Shuta Kikuchi , Kotaro Takahashi , Shu Tanaka

The Travelling Salesman Problem (TSP) is an important combinatorial optimisation problem, and is usually solved on a quantum computer using a Quadratic Unconstrained Binary Optimisation (QUBO) formulation or a Higher Order Binary…

量子物理 · 物理学 2024-06-21 Daniel Goldsmith , Joe Day-Evans

In this paper, we propose a robust optimization-based heuristic algorithm for the chance-constrained binary knapsack problem (CKP). We assume that the weights of items are independent normally distributed. By utilizing the properties of the…

最优化与控制 · 数学 2018-11-06 Seulgi Joung , Kyungsik Lee

The spatial photonic Ising machine (SPIM) [D. Pierangeli et al., Phys. Rev. Lett. 122, 213902 (2019)] is a promising optical architecture utilizing spatial light modulation for solving large-scale combinatorial optimization problems…

无序系统与神经网络 · 物理学 2023-08-09 Hiroshi Yamashita , Ken-ichi Okubo , Suguru Shimomura , Yusuke Ogura , Jun Tanida , Hideyuki Suzuki

Multi-objective unconstrained combinatorial optimization problems (MUCO) are in general hard to solve, i.e., the corresponding decision problem is NP-hard and the outcome set is intractable. In this paper we explore special cases of MUCO…

离散数学 · 计算机科学 2024-12-03 José Rui Figueira , Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff Santos

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

Quadratic Unconstrained Binary Optimization (QUBO) sits at the heart of many industries and academic fields such as logistics, supply chain, finance, pharmaceutical science, chemistry, IT, and energy sectors, among others. These problems…

量子物理 · 物理学 2025-12-02 Chia-Tso Lai , Carsten Blank , Peter Schmelcher , Rick Mukherjee

In the field of quantum computing, combinatorial optimization problems are typically addressed using QUBO (Quadratic Unconstrained Binary Optimization) solvers. However, these solvers are often insufficient for tackling higher-order…

量子物理 · 物理学 2024-07-24 Yuichiro Minato

This paper addresses the Quadratic Multiple Constraints Variable-Sized Bin Packing Problem (QMC-VSBPP), a challenging combinatorial optimization problem that generalizes the classical bin packing problem by incorporating multiple capacity…

神经与进化计算 · 计算机科学 2026-03-27 Natalia A. Santos , Marlon Jeske , Antonio A. Chaves