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| 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 |
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| 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 | |
| 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 | COMP2015-17 |
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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) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| 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 |
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| 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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| Speaker | Author-4 |
| Date Time | 2015-09-01 10:30:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2015-17 |
| Volume (vol) | vol.115 |
| Number (no) | no.205 |
| Page | pp.5-12 |
| #Pages | 8 |
| Date of Issue | 2015-08-25 (COMP) |
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