International Conference on Information and Communication Technology Convergence (ICTC)

Design of quantum approximate optimization algorithm for graph multi coloring problem

Gunsik Min, Jun Heo

Published Oct 11, 2023• 0 citations

Abstract

We propose a technique to solve the problem of graph multi coloring, which is a problem corresponding to channel allocation problem, with the quantum approximate optimization algorithm(QAOA). QAOA is an algorithm that solve an optimization problem. Among the optimization problems, this algorithm is specialized as solving the quadratic unconstrained binary optimization(QUBO) problems. It is designed to find approximate solutions to combinatorial optimization problems by leveraging quantum resources. In general, it is evaluated to have strengths in optimizing the base of optimal path exploration, small factor resolution, and mass data exploration. The study on coloring problem using digital algorithm has solved the problem of coloring by replacing the graph with simple graph or applying algorithm or reducing the number of nodes. Despite these efforts, however, the digital algorithm that solves the coloring problem studied so far has not achieved satisfactory performance by some limitations. Therefore, in order to overcome these limitations, this paper will show the result of solving multi coloring problem by reducing initial state dimension of the QAOA

DOI: 10.1109/ictc58733.2023.10393331

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