A systematic literature review of quantum computing for routing problems

E Osaba, E Villar-Rodriguez, I Oregi - IEEE Access, 2022 - ieeexplore.ieee.org
Quantum Computing is drawing a significant attention from the current scientific community.
The potential advantages offered by this revolutionary paradigm has led to an upsurge of …

Efficient quantum algorithm for solving travelling salesman problem: An IBM quantum experience

K Srinivasan, S Satyajit, BK Behera… - arxiv preprint arxiv …, 2018 - arxiv.org
The famous Travelling Salesman Problem (TSP) is an important category of optimization
problems that is mostly encountered in various areas of science and engineering. Studying …

Quantum Path Integral Approach for Vehicle Routing Optimization With Limited Qubit

K Gautam, CW Ahn - IEEE Transactions on Intelligent …, 2023 - ieeexplore.ieee.org
The Vehicle Routing Problem (VRP) is a crucial combinatorial optimization problem in
transportation, logistics, and supply chain management. Quantum computing has gained …

New ant colony optimization algorithm for the traveling salesman problem

W Gao - International Journal of Computational Intelligence …, 2020 - Springer
As one suitable optimization method implementing computational intelligence, ant colony
optimization (ACO) can be used to solve the traveling salesman problem (TSP). However …

Modified ant colony optimization with improved tour construction and pheromone updating strategies for traveling salesman problem

W Gao - Soft Computing, 2021 - Springer
To improve ant colony optimization (ACO) for traveling salesman problem (TSP), its two
main strategies which are tour construction and pheromone updating have been modified …

Variational amplitude amplification for solving QUBO problems

D Koch, M Cutugno, S Patel, L Wessing, PM Alsing - Quantum Reports, 2023 - mdpi.com
We investigate the use of amplitude amplification on the gate-based model of quantum
computing as a means for solving combinatorial optimization problems. This study focuses …

Gaussian amplitude amplification for quantum pathfinding

D Koch, M Cutugno, S Karlson, S Patel, L Wessing… - Entropy, 2022 - mdpi.com
We study an oracle operation, along with its circuit design, which combined with the Grover
diffusion operator boosts the probability of finding the minimum or maximum solutions on a …

Circuit Design of Two-Step Quantum Search Algorithm for Solving Traveling Salesman Problems

R Sato, G Cui, K Saito, H Kawashima, T Nikuni… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum search algorithms, such as Grover's algorithm, are expected to efficiently solve
constrained combinatorial optimization problems. However, implementing a quantum search …

[PDF][PDF] Small traveling salesman problems

RH Warren - Journal of Advances in Applied Mathematics, 2017 - Citeseer
This paper illustrates fundamental principles about small traveling salesman problems
(TSPs) which are a current application for quantum annealing computers. The 2048 qubit …

Embedding All Feasible Solutions of Traveling Salesman Problem by Divide-and-Conquer Quantum Search

R Sato, K Saito, T Nikuni… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
Quantum search algorithms, such as the Grover algorithm, are investigated as one of the
ways to solve a traveling salesman problem (TSP). In TSP, the quantum search starts from …