English
Related papers

Related papers: Solving Subset Sum Problems using Quantum Inspired…

200 papers

Simulated annealing (SA) is a key algorithm for solving combinatorial optimization problems, which model numerous real-world systems. While SA is commonly used to solve quadratic unconstrained binary optimization (QUBO) problems, many…

Statistical Mechanics · Physics 2026-05-05 Kohei Suzuki

With progress in quantum technology more sophisticated quantum annealing devices are becoming available. While they offer new possibilities for solving optimization problems, their true potential is still an open question. As the optimal…

Quantum Physics · Physics 2017-02-22 Bettina Heim , Ethan W. Brown , Dave Wecker , Matthias Troyer

We propose and compare Constraint Programming (CP) and Quantum Annealing (QA) approaches for rolling stock assignment optimisation considering necessary maintenance tasks. In the CP approach, we model the problem with an Alldifferent…

Artificial Intelligence · Computer Science 2023-09-26 Patricia Bickert , Cristian Grozea , Ronny Hans , Matthias Koch , Christina Riehn , Armin Wolf

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…

In this work, we introduce a novel Quadratic Binary Optimization (QBO) framework for training a quantized neural network. The framework enables the use of arbitrary activation and loss functions through spline interpolation, while Forward…

Machine Learning · Computer Science 2025-12-09 Wenxin Li , Chuan Wang , Hongdong Zhu , Qi Gao , Yin Ma , Hai Wei , Kai Wen

High-energy physics is replete with hard computational problems and it is one of the areas where quantum computing could be used to speed up calculations. We present an implementation of likelihood-based regularized unfolding on a quantum…

Data Analysis, Statistics and Probability · Physics 2020-10-09 Kyle Cormier , Riccardo Di Sipio , Peter Wittek

Recent studies on quantum computing algorithms focus on excavating features of quantum computers which have potential for contributing to computational model enhancements. Among various approaches, quantum annealing methods effectively…

Quantum Physics · Physics 2021-11-02 Sun Woo Park , Hyunju Lee , Byung Chun Kim , Youngho Woo , Kyungtaek Jun

Linear regression is a popular machine learning approach to learn and predict real valued outputs or dependent variables from independent variables or features. In many real world problems, its beneficial to perform sparse linear regression…

Machine Learning · Computer Science 2021-06-07 Surya Sai Teja Desu , P. K. Srijith , M. V. Panduranga Rao , Naveen Sivadasan

Quadratic Unconstrained Binary Optimization (QUBO) is recognized as a unifying framework for modeling a wide range of problems. Problems can be solved with commercial solvers customized for solving QUBO and since QUBO have degree two, it is…

Optimization and Control · Mathematics 2021-07-27 Amit Verma , Mark Lewis , Gary Kochenberger

Variational quantum algorithms constitute one of the most widespread methods for using current noisy quantum computers. However, it is unknown if these heuristic algorithms provide any quantum-computational speedup, although we cannot…

Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

Quantum Physics · Physics 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

NP-hard optimization problems scale very rapidly with problem size, becoming unsolvable with brute force methods, even with supercomputing resources. Typically, such problems have been approximated with heuristics. However, these methods…

Quantum Physics · Physics 2018-03-21 Gideon Bass , Casey Tomlin , Vaibhaw Kumar , Pete Rihaczek , Joseph Dulny

In this submission we solve the Aircraft Loading Optimization problem of the Airbus Quantum Computing Challenge. Finding the optimal loading for a plane is a challenging task for classical algorithms, especially because the solution must…

Quantum Physics · Physics 2021-02-23 Giovanni Pilon , Nicola Gugole , Nicola Massarenti

With the rapid development of quantum computers, quantum algorithms have been studied extensively. However, quantum algorithms tackling statistical problems are still lacking. In this paper, we propose a novel non-oracular quantum adaptive…

Methodology · Statistics 2021-07-20 Wenxuan Zhong , Yuan Ke , Ye Wang , Yongkai Chen , Jinyang Chen , Ping Ma

Combinatorial optimization problems, integral to various scientific and industrial applications, often vary significantly in their complexity and computational difficulty. Transforming such problems into Quadratic Unconstrained Binary…

Quantum Physics · Physics 2024-04-04 Thore Gerlach , Sascha Mücke

The Closest String Problem is an NP-complete problem which appears more commonly in bioinformatics and coding theory. Less surprisingly, classical approaches have been pursued with two prominent algorithms being the genetic algorithm and…

Quantum Physics · Physics 2023-10-20 Chandeepa Dissanayake

Quantum computing has demonstrated its potential to solve various optimization problems, including drone scheduling, which is important not only for drone delivery but also for logistics in general. However, one of the main obstacles is…

Quantum Physics · Physics 2026-05-15 Van-Quang-Huy Nguyen , Hoang-Quan Nguyen , Samee U. Khan , Ilya Safro , Khoa Luu

The broad applicability of Quadratic Unconstrained Binary Optimization (QUBO) constitutes a general-purpose modeling framework for combinatorial optimization problems and are a required format for gate array and quantum annealing computers.…

Artificial Intelligence · Computer Science 2021-04-06 Amit Verma , Mark Lewis

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 ant colony optimization (QACO) has drew much attention since it combines the advantages of quantum computing and ant colony optimization (ACO) algorithms and overcomes some limitations of the traditional ACO algorithm. However, due…

Quantum Physics · Physics 2024-03-04 Qian Qiu , Mohan Wu , Qichun Sun , Xiaogang Li , Hua Xu