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Paper Abstract and Keywords
Presentation 2015-06-12 14:40
Limit distribution of a time-dependent 3-period quantum walk
Takuya Machida (JSPS) NLP2015-63 CCS2015-25
Abstract (in Japanese) (See Japanese page) 
(in English) Quantum walks are quantum analogs of random walks and have a background of quantum physics. Also, their applications have largely headed for quantum computers. From the view point of mathematics, the long-time limit theorems of quantum walks have been studied to mention the behavior of the walker after a lot of evolutions. In this paper, our focus is put on a discrete-time quantum walk on the line. The walker determines its evolution by unitary operators which are chosen depending on time. The new result presented this time is a long-time limit distribution for a 3-period time-dependent quantum walk. The limit distribution shows an interesting behavior which we have never seen in a time-independent quantum walk or a 2-period time-dependent quantum walk. This is a joint work with F. Alberto Grunbaum (University of California, Berkeley) [1].
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum walk / Limit distribution / Time-dependent time evolution / / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 78, CCS2015-25, pp. 139-142, June 2015.
Paper # CCS2015-25 
Date of Issue 2015-06-04 (NLP, CCS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 NLP CCS  
Conference Date 2015-06-11 - 2015-06-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Waseda Univerisity 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To CCS 
Conference Code 2015-06-NLP-CCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Limit distribution of a time-dependent 3-period quantum walk 
Sub Title (in English)  
Keyword(1) Quantum walk  
Keyword(2) Limit distribution  
Keyword(3) Time-dependent time evolution  
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1st Author's Name Takuya Machida  
1st Author's Affiliation Japan Society for the Promotion of Science (JSPS)
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Speaker Author-1 
Date Time 2015-06-12 14:40:00 
Presentation Time 25 minutes 
Registration for CCS 
Paper # NLP2015-63, CCS2015-25 
Volume (vol) vol.115 
Number (no) no.77(NLP), no.78(CCS) 
Page pp.139-142 
#Pages
Date of Issue 2015-06-04 (NLP, CCS) 


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