Quantum Hopfield Model
| dc.creator | Nonomura, Yoshihiko | |
| dc.creator | Nishimori, Hidetoshi | |
| dc.date | 1995-12-21 | |
| dc.date | 1996-03-07 | |
| dc.date.accessioned | 2026-07-07T08:59:01Z | |
| dc.date.available | 2026-07-07T08:59:01Z | |
| dc.description | The Hopfield model in a transverse field is investigated in order to clarify how quantum fluctuations affect the macroscopic behavior of neural networks. Using the Trotter decomposition and the replica method, we find that the $α$ (the ratio of the number of stored patterns to the system size)-$Δ$ (the strength of the transverse field) phase diagram of this model in the ground state resembles the $α$-$T$ phase diagram of the Hopfield model quantitatively, within the replica-symmetric and static approximations. This fact suggests that quantum fluctuations play quite similar roles to thermal fluctuations in neural networks as long as macroscopic properties are concerned. | |
| dc.description | 11 pages, 1 compressed/uuencoded postscript figure, revtex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9512142 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9512142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147552 | |
| dc.subject | Condensed Matter | |
| dc.title | Quantum Hopfield Model | |
| dc.type | text |