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Paper Abstract and Keywords
Presentation 2022-06-10 14:25
The skeletal structure of transition probabilities on quantum-walk-replicating random walks
Tomoki Yamagami (UTokyo), Etsuo Segawa (YNU), Ken'ichiro Tanaka, Takatomo Mihana, Andre Roehm, Ryoichi Horisaki, Makoto Naruse (UTokyo) NLP2022-19 CCS2022-19
Abstract (in Japanese) (See Japanese page) 
(in English) In this report, we analyze the transition probabilities of random walk replicating the probability distribution of quantum walks. The graph for the position of the transition probability has a ``skeleton structure'' that does not depend on time variation even though it has complicated oscillation. First, we present a mathematical statement to support this skeleton structure, touching on an example of QWRW transition probabilities. Then, we give a mathematical definition of the skeleton structure and investigate its properties. Furthermore, we define a random walk whose transition probabilities are defined as the skeleton structure directly and introduce that it is possible to observe behavior close to the one seen in quantum walks even with a simpler model.
Keyword (in Japanese) (See Japanese page) 
(in English) quantum walk / random walk / transition probability / / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 66, CCS2022-19, pp. 94-99, June 2022.
Paper # CCS2022-19 
Date of Issue 2022-06-02 (NLP, CCS) 
ISSN Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee CCS NLP  
Conference Date 2022-06-09 - 2022-06-10 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Topics (in English)  
Paper Information
Registration To CCS 
Conference Code 2022-06-CCS-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) The skeletal structure of transition probabilities on quantum-walk-replicating random walks 
Sub Title (in English)  
Keyword(1) quantum walk  
Keyword(2) random walk  
Keyword(3) transition probability  
1st Author's Name Tomoki Yamagami  
1st Author's Affiliation The University of Tokyo (UTokyo)
2nd Author's Name Etsuo Segawa  
2nd Author's Affiliation Yokohama National University (YNU)
3rd Author's Name Ken'ichiro Tanaka  
3rd Author's Affiliation The University of Tokyo (UTokyo)
4th Author's Name Takatomo Mihana  
4th Author's Affiliation The University of Tokyo (UTokyo)
5th Author's Name Andre Roehm  
5th Author's Affiliation The University of Tokyo (UTokyo)
6th Author's Name Ryoichi Horisaki  
6th Author's Affiliation The University of Tokyo (UTokyo)
7th Author's Name Makoto Naruse  
7th Author's Affiliation The University of Tokyo (UTokyo)
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Speaker Author-1 
Date Time 2022-06-10 14:25:00 
Presentation Time 25 minutes 
Registration for CCS 
Paper # NLP2022-19, CCS2022-19 
Volume (vol) vol.122 
Number (no) no.65(NLP), no.66(CCS) 
Page pp.94-99 
Date of Issue 2022-06-02 (NLP, CCS) 

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