Parallel Computing of Edwards—Anderson Model

A scheme for parallel computation of the two-dimensional Edwards—Anderson model based on the transfer matrix approach is proposed. Free boundary conditions are considered. The method may find application in calculations related to spin glasses and in quantum simulators. Performance data are given. T...

Full description

Bibliographic Details
Main Authors: Mikhail Alexandrovich Padalko, Yuriy Andreevich Shevchenko, Vitalii Yurievich Kapitan, Konstantin Valentinovich Nefedev
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/15/1/13
_version_ 1797496520707145728
author Mikhail Alexandrovich Padalko
Yuriy Andreevich Shevchenko
Vitalii Yurievich Kapitan
Konstantin Valentinovich Nefedev
author_facet Mikhail Alexandrovich Padalko
Yuriy Andreevich Shevchenko
Vitalii Yurievich Kapitan
Konstantin Valentinovich Nefedev
author_sort Mikhail Alexandrovich Padalko
collection DOAJ
description A scheme for parallel computation of the two-dimensional Edwards—Anderson model based on the transfer matrix approach is proposed. Free boundary conditions are considered. The method may find application in calculations related to spin glasses and in quantum simulators. Performance data are given. The scheme of parallelisation for various numbers of threads is tested. Application to a quantum computer simulator is considered in detail. In particular, a parallelisation scheme of work of quantum computer simulator.
first_indexed 2024-03-10T03:04:50Z
format Article
id doaj.art-9098325f591c4a9bbc65246dee57c2f5
institution Directory Open Access Journal
issn 1999-4893
language English
last_indexed 2024-03-10T03:04:50Z
publishDate 2021-12-01
publisher MDPI AG
record_format Article
series Algorithms
spelling doaj.art-9098325f591c4a9bbc65246dee57c2f52023-11-23T12:40:36ZengMDPI AGAlgorithms1999-48932021-12-011511310.3390/a15010013Parallel Computing of Edwards—Anderson ModelMikhail Alexandrovich Padalko0Yuriy Andreevich Shevchenko1Vitalii Yurievich Kapitan2Konstantin Valentinovich Nefedev3Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, 690922 Vladivostok, RussiaDepartment of Computer Systems, School of Natural Sciences, Far Eastern Federal University, 690922 Vladivostok, RussiaDepartment of Computer Systems, School of Natural Sciences, Far Eastern Federal University, 690922 Vladivostok, RussiaDepartment of Computer Systems, School of Natural Sciences, Far Eastern Federal University, 690922 Vladivostok, RussiaA scheme for parallel computation of the two-dimensional Edwards—Anderson model based on the transfer matrix approach is proposed. Free boundary conditions are considered. The method may find application in calculations related to spin glasses and in quantum simulators. Performance data are given. The scheme of parallelisation for various numbers of threads is tested. Application to a quantum computer simulator is considered in detail. In particular, a parallelisation scheme of work of quantum computer simulator.https://www.mdpi.com/1999-4893/15/1/13Edwards—Anderson modelspin glassquantum computingquantum simulatorground statehigh performance computing
spellingShingle Mikhail Alexandrovich Padalko
Yuriy Andreevich Shevchenko
Vitalii Yurievich Kapitan
Konstantin Valentinovich Nefedev
Parallel Computing of Edwards—Anderson Model
Algorithms
Edwards—Anderson model
spin glass
quantum computing
quantum simulator
ground state
high performance computing
title Parallel Computing of Edwards—Anderson Model
title_full Parallel Computing of Edwards—Anderson Model
title_fullStr Parallel Computing of Edwards—Anderson Model
title_full_unstemmed Parallel Computing of Edwards—Anderson Model
title_short Parallel Computing of Edwards—Anderson Model
title_sort parallel computing of edwards anderson model
topic Edwards—Anderson model
spin glass
quantum computing
quantum simulator
ground state
high performance computing
url https://www.mdpi.com/1999-4893/15/1/13
work_keys_str_mv AT mikhailalexandrovichpadalko parallelcomputingofedwardsandersonmodel
AT yuriyandreevichshevchenko parallelcomputingofedwardsandersonmodel
AT vitaliiyurievichkapitan parallelcomputingofedwardsandersonmodel
AT konstantinvalentinovichnefedev parallelcomputingofedwardsandersonmodel