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Paper Abstract and Keywords
Presentation 2013-06-24 15:45
Stronger Methods of Making Quantum Interactive Proofs Perfectly Complete
Hirotada Kobayashi (NII), Francois Le Gall (Univ. of Tokyo), Harumichi Nishimura (Nagoya Univ.) COMP2013-24
Abstract (in Japanese) (See Japanese page) 
(in English) This paper presents stronger methods of achieving perfect completeness in quantum interactive proofs. First, it is proved that any problem in $mathrm{QMA}$ has a two-message quantum interactive proof system of perfect completeness with constant soundness error, where the verifier has only to send a constant number of halves of EPR pairs. This in particular implies that the class $mathrm{QMA}$ is necessarily included by the class $mathrm{QIP}_1(2)$ of problems having two-message quantum interactive proofs of perfect completeness, which gives the first nontrivial upper bound for $mathrm{QMA}$ in terms of quantum interactive proofs. It is also proved that any problem having an $m$-message quantum interactive proof system necessarily has an $(m+1)$-message quantum interactive proof system of perfect completeness. This improves the previous result due to Kitaev and Watrous, where the resulting system of perfect completeness requires $m+2$ messages if not using the parallelization result.
Keyword (in Japanese) (See Japanese page) 
(in English) quantum computing / interactive proof systems / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 108, COMP2013-24, pp. 31-38, June 2013.
Paper # COMP2013-24 
Date of Issue 2013-06-17 (COMP) 
ISSN Print edition: ISSN 0913-5685  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 COMP  
Conference Date 2013-06-24 - 2013-06-24 
Place (in Japanese) (See Japanese page) 
Place (in English) Nara Women's University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2013-06-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Stronger Methods of Making Quantum Interactive Proofs Perfectly Complete 
Sub Title (in English)  
Keyword(1) quantum computing  
Keyword(2) interactive proof systems  
1st Author's Name Hirotada Kobayashi  
1st Author's Affiliation National Institute of Informatics (NII)
2nd Author's Name Francois Le Gall  
2nd Author's Affiliation The University of Tokyo (Univ. of Tokyo)
3rd Author's Name Harumichi Nishimura  
3rd Author's Affiliation Nagoya University (Nagoya Univ.)
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Date Time 2013-06-24 15:45:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2013-24 
Volume (vol) IEICE-113 
Number (no) no.108 
Page pp.31-38 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2013-06-17 

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