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Paper Abstract and Keywords
Presentation 2009-04-17 16:05
General Scheme for Perfect Quantum Network Coding with Free Classical Communication
Hirotada Kobayashi (NII/ERATO-SORST), Francois Le Gall (JST), Harumichi Nishimura (Osaka Pref. Univ.), Martin Roetteler (NEC Lab. America) COMP2009-8
Abstract (in Japanese) (See Japanese page) 
(in English) This paper considers the problem of efficiently transmitting quantum states through a network. It has been known for some time that without additional assumptions it is impossible to achieve this task perfectly in general --- indeed, it is impossible even for the simple butterfly network. As additional resource we allow free classical communication between any pair of network nodes. We show that perfect quantum network coding is achievable in this model whenever classical network coding is possible over the same network when replacing all quantum capacities by classical capacities. More precisely, we demonstrate that perfect quantum network coding using free classical communication is possible over a network with $k$ source-target pairs if there exists a classical linear (or even vector-linear) coding scheme over a finite ring.
Our proof is constructive in that we give explicit quantum coding operations for each network node. We also give an upper bound on the number of classical communication required
in terms of $k$, the maximal fan-in of any network node, and the size of the network.
Keyword (in Japanese) (See Japanese page) 
(in English) Network coding / Quantum computing / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 9, COMP2009-8, pp. 51-58, April 2009.
Paper # COMP2009-8 
Date of Issue 2009-04-10 (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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Conference Information
Committee COMP  
Conference Date 2009-04-17 - 2009-04-17 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyoto Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2009-04-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) General Scheme for Perfect Quantum Network Coding with Free Classical Communication 
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Keyword(1) Network coding  
Keyword(2) Quantum computing  
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1st Author's Name Hirotada Kobayashi  
1st Author's Affiliation NII/ERATO-SORST (NII/ERATO-SORST)
2nd Author's Name Francois Le Gall  
2nd Author's Affiliation JST (JST)
3rd Author's Name Harumichi Nishimura  
3rd Author's Affiliation Osaka Prefecture University (Osaka Pref. Univ.)
4th Author's Name Martin Roetteler  
4th Author's Affiliation NEC Laboratories America (NEC Lab. America)
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Speaker Author-2 
Date Time 2009-04-17 16:05:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2009-8 
Volume (vol) vol.109 
Number (no) no.9 
Page pp.51-58 
#Pages 8 
Date of Issue 2009-04-10 (COMP) 

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