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Paper Abstract and Keywords
Presentation 2023-12-22 14:10
Efficient Enumeration of Quantum Circuits Realizing Boolean Functions by Toffoli Gate Count
Shigeru Yamashita (Ritsumeikan Univ.), Takashi Horiyama (Hokkaido Univ.), Norihito Yasuda (NTT) COMP2023-22
Abstract (in Japanese) (See Japanese page) 
(in English) Quantum Boolean circuits, which compute Boolean functions necessary for quantum computation, are commonly designed using Toffoli gates, CNOT gates, and NOT gates at the logical level; they are transformed into physically realizable elementary quantum gates after the logic level design. In the future fault-tolerant quantum computation, the realization cost of Toffoli gates is believed to be significantly higher compared to CNOT gates and NOT gates. Therefore, this paper explores a method to design quantum Boolean circuits that realize a given Boolean function with the minimum number of Toffoli gates based on an enumeration method. Furthermore, leveraging local transformation rules for quantum Boolean circuits, the paper proposes an efficient enumeration method that reduces computational complexity compared to a straightforward approach.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum Boolean Circuit / Toffoli Gate / CNOT Gate / Enumeration / Transformation Rule / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 325, COMP2023-22, pp. 37-44, Dec. 2023.
Paper # COMP2023-22 
Date of Issue 2023-12-15 (COMP) 
ISSN 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)
Download PDF COMP2023-22

Conference Information
Committee COMP  
Conference Date 2023-12-22 - 2023-12-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Miyazaki Univ. Machinaka Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Theoretical Computer Science, etc 
Paper Information
Registration To COMP 
Conference Code 2023-12-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Efficient Enumeration of Quantum Circuits Realizing Boolean Functions by Toffoli Gate Count 
Sub Title (in English)  
Keyword(1) Quantum Boolean Circuit  
Keyword(2) Toffoli Gate  
Keyword(3) CNOT Gate  
Keyword(4) Enumeration  
Keyword(5) Transformation Rule  
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Keyword(7)  
Keyword(8)  
1st Author's Name Shigeru Yamashita  
1st Author's Affiliation Ritsumeikan University (Ritsumeikan Univ.)
2nd Author's Name Takashi Horiyama  
2nd Author's Affiliation Hokkaido University (Hokkaido Univ.)
3rd Author's Name Norihito Yasuda  
3rd Author's Affiliation Nippon Telegraph and Telephone Corporation (NTT)
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Speaker Author-1 
Date Time 2023-12-22 14:10:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2023-22 
Volume (vol) vol.123 
Number (no) no.325 
Page pp.37-44 
#Pages 8 
Date of Issue 2023-12-15 (COMP) 

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