Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing

In this study, the maze generation using quantum annealing is proposed. We reformulate a standard algorithm to generate a maze into a specific form of a quadratic unconstrained binary optimization problem suitable for the input of the quantum annealer. To generate more difficulty mazes, we introduce...

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Main Authors: Yuto Ishikawa, Takuma Yoshihara, Keita Okamura, Masayuki Ohzeki
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-12-01
Series:Frontiers in Computer Science
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fcomp.2023.1285962/full
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author Yuto Ishikawa
Takuma Yoshihara
Keita Okamura
Masayuki Ohzeki
Masayuki Ohzeki
Masayuki Ohzeki
author_facet Yuto Ishikawa
Takuma Yoshihara
Keita Okamura
Masayuki Ohzeki
Masayuki Ohzeki
Masayuki Ohzeki
author_sort Yuto Ishikawa
collection DOAJ
description In this study, the maze generation using quantum annealing is proposed. We reformulate a standard algorithm to generate a maze into a specific form of a quadratic unconstrained binary optimization problem suitable for the input of the quantum annealer. To generate more difficulty mazes, we introduce an additional cost function Qupdate to increase the difficulty. The difficulty of the mazes was evaluated by the time to solve the maze of 12 human subjects. To check the efficiency of our scheme to create the maze, we investigated the time-to-solution of a quantum processing unit, classical computer, and hybrid solver. The results show that Qupdate generates difficult mazes tailored to the individual. Furthermore, it show that the quantum processing unit is more efficient at generating mazes than other solvers. Finally, we also present applications how our results could be used in the future.
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spelling doaj.art-dc17b34a4daa4559938534feb80c940e2023-12-07T09:07:34ZengFrontiers Media S.A.Frontiers in Computer Science2624-98982023-12-01510.3389/fcomp.2023.12859621285962Individual subject evaluated difficulty of adjustable mazes generated using quantum annealingYuto Ishikawa0Takuma Yoshihara1Keita Okamura2Masayuki Ohzeki3Masayuki Ohzeki4Masayuki Ohzeki5Department of Computer Science, Nagoya University, Nagoya, JapanDepartment of Engineering, Tokyo Denki University, Adachi, JapanDepartment of Physics and Astronomy, Tokyo University of Science, Noda, JapanGraduate School of Information Sciences, Tohoku University, Sendai, JapanDepartment of Physics, Tokyo Institute of Technology, Meguro, JapanSigma-i Co., Ltd., Shinagawa, JapanIn this study, the maze generation using quantum annealing is proposed. We reformulate a standard algorithm to generate a maze into a specific form of a quadratic unconstrained binary optimization problem suitable for the input of the quantum annealer. To generate more difficulty mazes, we introduce an additional cost function Qupdate to increase the difficulty. The difficulty of the mazes was evaluated by the time to solve the maze of 12 human subjects. To check the efficiency of our scheme to create the maze, we investigated the time-to-solution of a quantum processing unit, classical computer, and hybrid solver. The results show that Qupdate generates difficult mazes tailored to the individual. Furthermore, it show that the quantum processing unit is more efficient at generating mazes than other solvers. Finally, we also present applications how our results could be used in the future.https://www.frontiersin.org/articles/10.3389/fcomp.2023.1285962/fullquantum annealingcombinatorial optimizationmaze generationbar-tipping algorithmtime-to-solution
spellingShingle Yuto Ishikawa
Takuma Yoshihara
Keita Okamura
Masayuki Ohzeki
Masayuki Ohzeki
Masayuki Ohzeki
Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
Frontiers in Computer Science
quantum annealing
combinatorial optimization
maze generation
bar-tipping algorithm
time-to-solution
title Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
title_full Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
title_fullStr Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
title_full_unstemmed Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
title_short Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
title_sort individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
topic quantum annealing
combinatorial optimization
maze generation
bar-tipping algorithm
time-to-solution
url https://www.frontiersin.org/articles/10.3389/fcomp.2023.1285962/full
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