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Paper Abstract and Keywords
Presentation 2018-03-13 10:50
Statistical mechanics of coherent Ising machine -- The analysis of Hopfield model with discrete synapses --
Shunki Nakagawa, Toru Aonishi (Tokyo Tech.), Kazushi Mimura (Hiroshima City Univ.), Masato Okada (Univ. Tokyo), Yoshihisa Yamamoto (ImPACT/ Stanford Univ.) NC2017-70
Abstract (in Japanese) (See Japanese page) 
(in English) The coherent Ising machine (CIM) is being developed as one of the Ising computing architecture for solving large-scale combinatorial optimization problems at high speed. However, because the CIM is a non-equilibrium open dissipative system, it is not possible to directly apply an equilibrium statistical mechanics method to the CIM. Furthermore, in the actual equipment, synapses can take only discrete values of -1, 0, +1. It is not clear how this quantization affects the performance of the system. Here, we focus on the CIM-implemented Hopfield model with discrete synapses. Using our statistical mechanics method, we drive a macroscopic equation to elucidate the behavior of critical memory capacity under various values of pump rate.
Keyword (in Japanese) (See Japanese page) 
(in English) coherent Ising machine / statistical mechanics / Hopfield model / macroscopic equation / critical memory capacity / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 508, NC2017-70, pp. 15-20, March 2018.
Paper # NC2017-70 
Date of Issue 2018-03-06 (NC) 
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 NC2017-70

Conference Information
Committee MBE NC  
Conference Date 2018-03-13 - 2018-03-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) ME, general 
Paper Information
Registration To NC 
Conference Code 2018-03-MBE-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Statistical mechanics of coherent Ising machine 
Sub Title (in English) The analysis of Hopfield model with discrete synapses 
Keyword(1) coherent Ising machine  
Keyword(2) statistical mechanics  
Keyword(3) Hopfield model  
Keyword(4) macroscopic equation  
Keyword(5) critical memory capacity  
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1st Author's Name Shunki Nakagawa  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech.)
2nd Author's Name Toru Aonishi  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech.)
3rd Author's Name Kazushi Mimura  
3rd Author's Affiliation Hiroshima City University (Hiroshima City Univ.)
4th Author's Name Masato Okada  
4th Author's Affiliation The university of tokyo (Univ. Tokyo)
5th Author's Name Yoshihisa Yamamoto  
5th Author's Affiliation ImPACT Program, Japan Science and Technology Agency/ Stanford University (ImPACT/ Stanford Univ.)
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Speaker Author-1 
Date Time 2018-03-13 10:50:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2017-70 
Volume (vol) vol.117 
Number (no) no.508 
Page pp.15-20 
#Pages 6 
Date of Issue 2018-03-06 (NC) 

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