| Presentation | 2018-03-13 Statistical mechanics of coherent Ising machine Shunki Nakagawa, Toru Aonishi, Kazushi Mimura, Masato Okada, Yoshihisa Yamamoto, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | coherent Ising machine / statistical mechanics / Hopfield model / macroscopic equation / critical memory capacity |
| Paper # | NC2017-70 |
| Date of Issue | 2018-03-06 (NC) |
| Conference Information | |
| Committee | MBE / NC |
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| Conference Date | 2018/3/13(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | ME, general |
| Chair | Kazuki Nakajima(Univ. of Toyama) / Masafumi Hagiwara(Keio Univ.) |
| Vice Chair | Masaki Kyoso(TCU) / Yutaka Hirata(Chubu Univ.) |
| Secretary | Masaki Kyoso(Toyama Pref. Univ.) / Yutaka Hirata(Kindai Univ.) |
| Assistant | Kim Juhyon(Univ. of Toyama) / Takumi Kobayashi(YNU) / Yoshihisa Shinozawa(Keio Univ.) / Keiichiro Inagaki(Chubu Univ.) |
| Paper Information | |
| Registration To | Technical Committee on ME and Bio Cybernetics / Technical Committee on Neurocomputing |
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| Language | JPN |
| 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 |
| 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.) |
| Date | 2018-03-13 |
| Paper # | NC2017-70 |
| Volume (vol) | vol.117 |
| Number (no) | NC-508 |
| Page | pp.pp.15-20(NC), |
| #Pages | 6 |
| Date of Issue | 2018-03-06 (NC) |