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Small-scale Mixed-Integer Quadratic Programming (MIQP) problems often arise in embedded control and estimation applications. Driven by the need for algorithmic simplicity to target computing platforms with limited memory and computing…

最优化与控制 · 数学 2021-01-25 Vihangkumar V. Naik , Alberto Bemporad

Quantum algorithms have been widely studied in the context of combinatorial optimization problems. While this endeavor can often analytically and practically achieve quadratic speedups, theoretical and numeric studies remain limited,…

量子物理 · 物理学 2023-11-07 Lucas T. Brady , Stuart Hadfield

This work solves suboptimal mixed-integer quadratic programs recursively for feedback control of dynamical systems. The proposed framework leverages parametric mixed-integer quadratic programming (MIQP) and hybrid systems theory to model a…

最优化与控制 · 数学 2025-07-04 Luke Fina , Christopher Petersen

We present tools and methods to generalize parity compilation to digital quantum computing devices with arbitrary connectivity graphs and construct circuit implementations for the constraint Hamiltonian of higher-order constrained binary…

量子物理 · 物理学 2025-12-01 Roeland ter Hoeven , Anette Messinger , Wolfgang Lechner

Background: Multi-collimator proton minibeam radiation therapy (MC-pMBRT) has recently emerged as a versatile technique for dose shaping, enabling peak-valley dose patterns in organs-at-risk (OAR) while maintaining a uniform dose…

医学物理 · 物理学 2025-02-25 Nimita Shinde , Weijie Zhang , Yuting Lin , Hao Gao

In this paper, we propose a Pre-trained Mixed Integer Optimization framework (PreMIO) that accelerates online mixed integer program (MIP) solving with offline datasets and machine learning models. Our method is based on a data-driven…

最优化与控制 · 数学 2025-04-08 Yanguang Chen , Wenzhi Gao , Wanyu Zhang , Dongdong Ge , Huikang Liu , Yinyu Ye

This paper surveys the trend of leveraging machine learning to solve mixed integer programming (MIP) problems. Theoretically, MIP is an NP-hard problem, and most of the combinatorial optimization (CO) problems can be formulated as the MIP.…

人工智能 · 计算机科学 2022-03-08 Jiayi Zhang , Chang Liu , Junchi Yan , Xijun Li , Hui-Ling Zhen , Mingxuan Yuan

Maximum cut (Max-Cut) problem is one of the most important combinatorial optimization problems because of its various applications in real life, and recently Quantum Approximate Optimization Algorithm (QAOA) has been widely employed to…

量子物理 · 物理学 2023-07-31 Yiren Lu , Guojing Tian , Xiaoming Sun

We present a quantum circuit optimization technique that takes into account the variability in error rates that is inherent across present day noisy quantum computing platforms. This method can be run post qubit routing or post-compilation,…

量子物理 · 物理学 2023-03-22 Paul D. Nation , Matthew Treinish

In this paper, we consider the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network resources to meet diverse…

信息论 · 计算机科学 2022-03-01 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

Quantum algorithms for binary optimization problems have been the subject of extensive study. However, the application of quantum algorithms to integer optimization problems remains comparatively unexplored. In this paper, we study the…

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

The performance of the Quantum Approximate Optimization Algorithm (QAOA) on noisy intermediate-scale quantum (NISQ) devices is strongly limited by sparse qubit connectivity. When interactions required by QAOA Hamiltonians are not aligned to…

量子物理 · 物理学 2026-04-29 Thiago Assis , Pedro Baptista , Laila Lopes , Diego Ferreira , Gabriel Coutinho

Noisy Intermediate-Scale Quantum (NISQ) devices are restricted by their limited number of qubits and their short decoherence times. An approach addressing these problems is quantum circuit cutting. It decomposes the execution of a large…

Task scheduling with constrained time intervals and limited resources remains a fundamental challenge across domains such as manufacturing, logistics, cloud computing, and healthcare. This study presents a novel variant of the Quantum…

量子物理 · 物理学 2026-05-26 José A. Tirado-Domínguez , Eladio Gutiérrez , Oscar Plata

The quantum approximate optimization algorithm (QAOA) has been introduced as a heuristic digital quantum computing scheme to find approximate solutions of combinatorial problems with shallow circuits. We present a scheme to parallelize this…

量子物理 · 物理学 2018-03-02 Wolfgang Lechner

Solving optimization problems with high performance is the target of existing works of Quantum Approximate Optimization Algorithm (QAOA). With this intention, we propose an advanced QAOA based on incremental learning, where the training…

量子物理 · 物理学 2023-11-07 Lingxiao Li , Jing Li , Yanqi Song , Sujuan Qin , Qiaoyan Wen , Fei Gao

Parallel programming models can encourage performance portability by moving the responsibility for work assignment and data distribution from the programmer to a runtime system. However, analyzing the resulting implicit memory allocations,…

分布式、并行与集群计算 · 计算机科学 2025-03-14 Fabian Knorr , Philip Salzmann , Peter Thoman , Thomas Fahringer

We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

最优化与控制 · 数学 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

Quantum circuit optimization - the process of transforming a quantum circuit into an equivalent one with reduced time and space requirements - is crucial for maximizing the utility of current and near-future quantum devices. While most…

量子物理 · 物理学 2026-01-23 Marcin Szyniszewski , Aleks Kissinger , Noah Linden , Paul Skrzypczyk