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Dal'nevostochnyi Matematicheskii Zhurnal, 2021, Volume 21, Number 2, Pages 234–246
DOI: https://doi.org/10.47910/FEMJ202120
(Mi dvmg461)
 

Parallel computing of Edwards–Anderson model

M. A. Padalkoab, Yu. A. Shevchenkoab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
References:
Abstract: An algorithm for parallel exact calculation of the ground state of a two-dimensional Edwards–Anderson model with free boundary conditions is given. The running time of the algorithm grows exponentially as the side of the lattice square increases. If one side of the lattice is fixed, the running time grows polynomially with increasing size of the other side. The method may find application in the theory of spin glasses, in the field of quantum computing. Performance data for the bimodal distribution is given. The distribution of spin bonds can be either bimodal or Gaussian. The method makes it possible to compute systems up to a size of 40x40.
Key words: Edwards–Anderson model, spin glass, ground state, high performance computing, quantum computing.
Received: 15.10.2021
Document Type: Article
UDC: 511.21+517.965+517.547.582
MSC: Primary 11B37; Secondary 33E05
Language: Russian
Citation: M. A. Padalko, Yu. A. Shevchenko, “Parallel computing of Edwards–Anderson model”, Dal'nevost. Mat. Zh., 21:2 (2021), 234–246
Citation in format AMSBIB
\Bibitem{PadShe21}
\by M.~A.~Padalko, Yu.~A.~Shevchenko
\paper Parallel computing of Edwards--Anderson model
\jour Dal'nevost. Mat. Zh.
\yr 2021
\vol 21
\issue 2
\pages 234--246
\mathnet{http://mi.mathnet.ru/dvmg461}
\crossref{https://doi.org/10.47910/FEMJ202120}
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