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 |
Copyright and reproduction |
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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NLP2015-63 CCS2015-25 |
Conference Information |
Committee |
NLP CCS |
Conference Date |
2015-06-11 - 2015-06-12 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Waseda Univerisity |
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(See Japanese page) |
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Paper Information |
Registration To |
CCS |
Conference Code |
2015-06-NLP-CCS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
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(See Japanese page) |
Title (in English) |
Limit distribution of a time-dependent 3-period quantum walk |
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Quantum walk |
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Limit distribution |
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Time-dependent time evolution |
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Takuya Machida |
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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 |
4 |
Date of Issue |
2015-06-04 (NLP, CCS) |
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