Paper Abstract and Keywords |
Presentation |
2009-05-26 11:15
Designing Quantum Game Strategies from Quantum Communication Protocols Kazuo Iwama (Kyoto Univ.), Harumichi Nishimura (Osaka Pref. Univ.), Rudy Raymond (IBM Japan) COMP2009-12 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In their recent paper, Cleve , Slofstra, Unger and Upadhyay showed that the $CHSH^{\oplus{n}}$, a natural extension of the CHSH game to the one with a scalable input, has an optimal worst-case winning probability of $1/2+0.5(1/\sqrt{2^n})$. Their game strategy is a simple parallelization
of the original CHSH and needs $n$ pairs of qubits for shared entanglement. In this paper, we present a new strategy whose worst-case winning probability is $1/2+0.46(1/\sqrt{2^n})$, a bit worse than theirs, but it needs only {\em a single pair of qubits} for shared entanglement. This is done by a nontrivial application of another recent result by Ambainis, Leung, Mancinska and Ozols about the $(n,1)$ quantum random access coding. We generalize this approach, namely we give a general conversion rule from a two-party quantum communication protocol with communication complexity one into a strategy for an XOR game with a single pair of entangled qubits. This enables us to design two more new strategies that also need minimum entanglement for $CHSH^{\oplus{n}}$. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
non-locality / quantum games / quantum communication complexity / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 109, no. 54, COMP2009-12, pp. 21-28, May 2009. |
Paper # |
COMP2009-12 |
Date of Issue |
2009-05-19 (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) |
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COMP2009-12 |
Conference Information |
Committee |
COMP |
Conference Date |
2009-05-26 - 2009-05-26 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Saitama Univ. |
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(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2009-05-COMP |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Designing Quantum Game Strategies from Quantum Communication Protocols |
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non-locality |
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quantum games |
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quantum communication complexity |
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1st Author's Name |
Kazuo Iwama |
1st Author's Affiliation |
Kyoto University (Kyoto Univ.) |
2nd Author's Name |
Harumichi Nishimura |
2nd Author's Affiliation |
Osaka Prefecture University (Osaka Pref. Univ.) |
3rd Author's Name |
Rudy Raymond |
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IBM Japan (IBM Japan) |
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Speaker |
Author-2 |
Date Time |
2009-05-26 11:15:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2009-12 |
Volume (vol) |
vol.109 |
Number (no) |
no.54 |
Page |
pp.21-28 |
#Pages |
8 |
Date of Issue |
2009-05-19 (COMP) |
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