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Paper Abstract and Keywords
Presentation 2015-09-01 10:30
Impossibility of Classically Simulating One-Clean-Qubit Computation
Keisuke Fujii (Kyoto Univ.), Hirotada Kobayashi (NII), Tomoyuki Morimae (Gunma Univ.), Harumichi Nishimura (Nagoya Univ.), Shuhei Tamate (NII), Seiichiro Tani (NTT) COMP2015-17
Abstract (in Japanese) (See Japanese page) 
(in English) Deterministic quantum computation with one quantum bit (DQC1) is a restricted model of quantum computing where the input state is the completely mixed state except for a single clean qubit, and only a single output qubit is measured at the end of the computing. It is proved that the restriction of quantum computation to the DQC1 model does not change the complexity classes NQP and SBQP. As a main consequence, it follows that the DQC1 model cannot be efficiently simulated by classical computers unless the polynomial-time hierarchy collapses to the second level (more precisely, to AM), which answers the long-standing open problem posed by Knill and Laflamme under the very plausible complexity assumption. The argument developed in this paper also weakens the complexity assumption necessary for the existing impossibility results on classical simulation of various sub-universal quantum computing models, such as the IQP model and the Boson sampling.
Keyword (in Japanese) (See Japanese page) 
(in English) quantum computation / computational complexity / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 205, COMP2015-17, pp. 5-12, Sept. 2015.
Paper # COMP2015-17 
Date of Issue 2015-08-25 (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 2015-09-01 - 2015-09-01 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To COMP 
Conference Code 2015-09-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Impossibility of Classically Simulating One-Clean-Qubit Computation 
Sub Title (in English)  
Keyword(1) quantum computation  
Keyword(2) computational complexity  
1st Author's Name Keisuke Fujii  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Hirotada Kobayashi  
2nd Author's Affiliation National Institute of Informatics (NII)
3rd Author's Name Tomoyuki Morimae  
3rd Author's Affiliation Gunma University (Gunma Univ.)
4th Author's Name Harumichi Nishimura  
4th Author's Affiliation Nagoya University (Nagoya Univ.)
5th Author's Name Shuhei Tamate  
5th Author's Affiliation National Institute of Informatics (NII)
6th Author's Name Seiichiro Tani  
6th Author's Affiliation Nippon Telegraph and Telephone Corporation (NTT)
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Date Time 2015-09-01 10:30:00 
Presentation Time 30 
Registration for COMP 
Paper # IEICE-COMP2015-17 
Volume (vol) IEICE-115 
Number (no) no.205 
Page pp.5-12 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2015-08-25 

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