| Presentation | 2018-03-13 Statistical mechanics of coherent Ising machine 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) has attracted attention as one of the most effective Ising computing architectures for solving large scale optimization problems because of its scalability and high-speed computational ability. Because the CIM is a non-equilibrium open-dissipative system, the theories and techniques of classical thermodynamic equilibrium Ising spin systems cannot be directly applied to the CIM. Now our research group attempts to adapt these theories and techniques to the CIM. Here we focus on an infinite loading Hopfield model, which is one of canonical frustrated models of Ising computation. We derive a macroscopic equation to elucidate relation between critical memory capacity and pump rate in the CIM-implemented Hopfield model. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | coherent Ising machine / statistical mechanics / Hopfield model / macroscopic equation / critical memory capacity |
| Paper # | NC2017-69 |
| 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 case of infinite loading Hopfield model |
| 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 | Toru Aonishi |
| 1st Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech.) |
| 2nd Author's Name | Kazushi Mimura |
| 2nd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 3rd Author's Name | Masato Okada |
| 3rd Author's Affiliation | The university of tokyo(Univ. Tokyo) |
| 4th Author's Name | Yoshihisa Yamamoto |
| 4th Author's Affiliation | ImPACT Program, Japan Science and Technology Agency/ Stanford University(ImPACT/ Stanford Univ.) |
| Date | 2018-03-13 |
| Paper # | NC2017-69 |
| Volume (vol) | vol.117 |
| Number (no) | NC-508 |
| Page | pp.pp.9-14(NC), |
| #Pages | 6 |
| Date of Issue | 2018-03-06 (NC) |