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| Presentation | 2019-05-11 11:30 Rational proofs for quantum computing Tomoyuki Morimae (Kyoto Univ.), Harumichi Nishimura (Nagoya Univ.)  COMP2019-5 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | It is an open problem whether a classical client can delegate quantum computing to a remote quantum server in such a way that the correctness of quantum computing is somehow guaranteed. Several protocols for verifiable delegated quantum computing have been proposed, but the client is notcompletely free from any quantum technology: the client has to generate or measure single-qubit states. In this paper, we show that the client can be completely classical if the server is rational (i.e., economically motivated). More precisely, we consider the following protocol. The server first sends the client a message allegedly equal to the solution of the problem that the client wants to solve. The client then gives the server a monetary reward whose amount is calculated in classical probabilistic polynomial-time by using the server's message as an input. The reward function is constructed in such a way that the expectation value of the reward (the expectation over the client's probabilistic computing) is maximum when the server's message is the correct solution to the problem. The rational server who wants to maximize his/her profit therefore has to send the correct solution to the client. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | quantum computation / rational proof / / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 119, no. 21, COMP2019-5, pp. 67-74, May 2019. | |
| Paper # | COMP2019-5 | |
| Date of Issue | 2019-05-03 (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 | COMP2019-5 |
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| Conference Information | |
| Committee | COMP IPSJ-AL |
| Conference Date | 2019-05-10 - 2019-05-11 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kumamoto University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2019-05-COMP-AL |
| Language | English (Japanese title is available) |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Rational proofs for quantum computing |
| Sub Title (in English) | |
| Keyword(1) | quantum computation |
| Keyword(2) | rational proof |
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| 1st Author's Name | Tomoyuki Morimae |
| 1st Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 2nd Author's Name | Harumichi Nishimura |
| 2nd Author's Affiliation | Nagoya University (Nagoya Univ.) |
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| Speaker | Author-2 |
| Date Time | 2019-05-11 11:30:00 |
| Presentation Time | 25 minutes |
| Registration for | COMP |
| Paper # | COMP2019-5 |
| Volume (vol) | vol.119 |
| Number (no) | no.21 |
| Page | pp.67-74 |
| #Pages | 8 |
| Date of Issue | 2019-05-03 (COMP) |
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