A. O. Korol', V. Yu. Kapitan, A. V. Perzhu, M. A. Padalko, D. Yu. Kapitan, R. A. Volotovskii, E. V. Vasil'ev, A. E. Rybin, P. A. Ovchinnikov, P. D. Andriushchenko, A. G. Makarov, Yu. A. Shevchenko, I. G. Il'yushin, K. S. Soldatov, “Calculation of the ground states of spin glasses using a restricted Boltzmann machine”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2022, Volume 115, Issue 8,Pages <nobr>500

This article is cited in 3 papers

CONDENSED MATTER

Calculation of the ground states of spin glasses using a restricted Boltzmann machine

A. O. Korol'^ab, V. Yu. Kapitan^ab, A. V. Perzhu^a, M. A. Padalko^ba, D. Yu. Kapitan^ba, R. A. Volotovskii^ab, E. V. Vasil'ev^ab, A. E. Rybin^ba, P. A. Ovchinnikov^a, P. D. Andriushchenko^c, A. G. Makarov^ba, Yu. A. Shevchenko^ba, I. G. Il'yushin^a, K. S. Soldatov^ba

^a Far Eastern Federal University, Vladivostok, 690922 Russia
^b Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
^c ITMO University, St. Petersburg, 197101 Russia

Abstract: A neural network method has been proposed to calculate the configurations and energies of the ground states of the Edwards–Anderson spin glass model with periodic boundary conditions. The macroscopic degeneracy of the ground states and violation of translational symmetry have been observed. Comparison with the results obtained by the exact and approximate computational methods confirms the reliability of the results.

Received: 21.02.2022
Revised: 17.03.2022
Accepted: 17.03.2022

DOI: 10.31857/S1234567822080079