Benchmark of quantum-inspired heuristic solvers for quadratic unconstrained binary optimization

Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the differences in their performance for various types of problems. In t...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Scientific reports Ročník 12; číslo 1; s. 2146 - 10
Hlavní autori: Oshiyama, Hiroki, Ohzeki, Masayuki
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: London Nature Publishing Group UK 09.02.2022
Nature Publishing Group
Nature Portfolio
Predmet:
ISSN:2045-2322, 2045-2322
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the differences in their performance for various types of problems. In this study, the performance of four quadratic unconstrained binary optimization problem solvers, namely D-Wave Hybrid Solver Service (HSS), Toshiba Simulated Bifurcation Machine (SBM), Fujitsu Digital Annealer (DA), and simulated annealing on a personal computer, was benchmarked. The problems used for benchmarking were instances of real problems in MQLib, instances of the SAT-UNSAT phase transition point of random not-all-equal 3-SAT (NAE 3-SAT), and the Ising spin glass Sherrington-Kirkpatrick (SK) model. Concerning MQLib instances, the HSS performance ranked first; for NAE 3-SAT, DA performance ranked first; and regarding the SK model, SBM performance ranked first. These results may help understand the strengths and weaknesses of these solvers.
AbstractList Abstract Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the differences in their performance for various types of problems. In this study, the performance of four quadratic unconstrained binary optimization problem solvers, namely D-Wave Hybrid Solver Service (HSS), Toshiba Simulated Bifurcation Machine (SBM), Fujitsu Digital Annealer (DA), and simulated annealing on a personal computer, was benchmarked. The problems used for benchmarking were instances of real problems in MQLib, instances of the SAT-UNSAT phase transition point of random not-all-equal 3-SAT (NAE 3-SAT), and the Ising spin glass Sherrington-Kirkpatrick (SK) model. Concerning MQLib instances, the HSS performance ranked first; for NAE 3-SAT, DA performance ranked first; and regarding the SK model, SBM performance ranked first. These results may help understand the strengths and weaknesses of these solvers.
Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the differences in their performance for various types of problems. In this study, the performance of four quadratic unconstrained binary optimization problem solvers, namely D-Wave Hybrid Solver Service (HSS), Toshiba Simulated Bifurcation Machine (SBM), Fujitsu Digital Annealer (DA), and simulated annealing on a personal computer, was benchmarked. The problems used for benchmarking were instances of real problems in MQLib, instances of the SAT-UNSAT phase transition point of random not-all-equal 3-SAT (NAE 3-SAT), and the Ising spin glass Sherrington-Kirkpatrick (SK) model. Concerning MQLib instances, the HSS performance ranked first; for NAE 3-SAT, DA performance ranked first; and regarding the SK model, SBM performance ranked first. These results may help understand the strengths and weaknesses of these solvers.
Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the differences in their performance for various types of problems. In this study, the performance of four quadratic unconstrained binary optimization problem solvers, namely D-Wave Hybrid Solver Service (HSS), Toshiba Simulated Bifurcation Machine (SBM), Fujitsu Digital Annealer (DA), and simulated annealing on a personal computer, was benchmarked. The problems used for benchmarking were instances of real problems in MQLib, instances of the SAT-UNSAT phase transition point of random not-all-equal 3-SAT (NAE 3-SAT), and the Ising spin glass Sherrington-Kirkpatrick (SK) model. Concerning MQLib instances, the HSS performance ranked first; for NAE 3-SAT, DA performance ranked first; and regarding the SK model, SBM performance ranked first. These results may help understand the strengths and weaknesses of these solvers.Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the differences in their performance for various types of problems. In this study, the performance of four quadratic unconstrained binary optimization problem solvers, namely D-Wave Hybrid Solver Service (HSS), Toshiba Simulated Bifurcation Machine (SBM), Fujitsu Digital Annealer (DA), and simulated annealing on a personal computer, was benchmarked. The problems used for benchmarking were instances of real problems in MQLib, instances of the SAT-UNSAT phase transition point of random not-all-equal 3-SAT (NAE 3-SAT), and the Ising spin glass Sherrington-Kirkpatrick (SK) model. Concerning MQLib instances, the HSS performance ranked first; for NAE 3-SAT, DA performance ranked first; and regarding the SK model, SBM performance ranked first. These results may help understand the strengths and weaknesses of these solvers.
ArticleNumber 2146
Author Oshiyama, Hiroki
Ohzeki, Masayuki
Author_xml – sequence: 1
  givenname: Hiroki
  surname: Oshiyama
  fullname: Oshiyama, Hiroki
  email: hiroki.oshiyama.e6@tohoku.ac.jp
  organization: Graduate School of Information Sciences, Tohoku University
– sequence: 2
  givenname: Masayuki
  surname: Ohzeki
  fullname: Ohzeki, Masayuki
  organization: Graduate School of Information Sciences, Tohoku University, Institute of Innovative Research, Tokyo Institute of Technology, Sigma-I Co., Ltd
BackLink https://www.ncbi.nlm.nih.gov/pubmed/35140264$$D View this record in MEDLINE/PubMed
BookMark eNp9kktv1DAUhS1UREvpH2CBIrFhE_Ajfm2QoOJRqRIbWFuOcz3jIWNP7aRS-fV4Ji20XdQbW9ffOTr2vS_RUUwREHpN8HuCmfpQOsK1ajGlLRZY4pY_QycUd7yljNKje-djdFbKBtfFqe6IfoGOGScdpqI7QeYzRLfe2vy7Sb65mm2c5m0bYtmFDEOzhjmHMgXXlDReQy6NT3mPDdnuq3N0KZYp2xAr3Ydo802TdlPYhj8VSPEVeu7tWODsdj9Fv75--Xn-vb388e3i_NNl63iHp5YroI5yzWwviBfKM-sYp5IzZ7UQWFNiJaeAoR84cVhLPzjvBkyoJeAoO0UXi--Q7MbscqhPujHJBnMopLwyNtfEIxgHyitPqLAOOqmt9cJbpThognsJtnp9XLx2c7-FwUGsDxwfmD68iWFtVunaKEWV5KIavLs1yOlqhjKZbSgOxtFGSHMxVFDZScmIqujbR-gmzTnWrzpQmHRMk0q9uZ_oX5S7PlZALYDLqZQM3rgwHRqw781oCDb7qTHL1Jg6NeYwNYZXKX0kvXN_UsQWUalwXEH-H_sJ1V_kltam
CitedBy_id crossref_primary_10_7566_JPSJ_92_113002
crossref_primary_10_3390_e27090953
crossref_primary_10_7566_JPSJ_94_054003
crossref_primary_10_1016_j_jfranklin_2025_107945
crossref_primary_10_7566_JPSJ_93_115003
crossref_primary_10_3389_fcomp_2023_1285962
crossref_primary_10_7566_JPSJ_92_023001
crossref_primary_10_1109_ACCESS_2024_3514162
crossref_primary_10_1103_PhysRevResearch_6_043325
crossref_primary_10_1038_s41598_023_32232_0
crossref_primary_10_1038_s41598_025_07293_y
crossref_primary_10_1109_TQE_2024_3407236
crossref_primary_10_1088_2399_1984_ad299a
crossref_primary_10_1109_TETCI_2024_3405370
crossref_primary_10_3389_fphy_2022_1092065
crossref_primary_10_1038_s41598_022_22704_0
crossref_primary_10_1111_itor_13471
crossref_primary_10_7566_JPSJ_94_024001
crossref_primary_10_1007_s10479_024_06302_z
crossref_primary_10_1038_s42005_022_00929_9
crossref_primary_10_1038_s41598_023_45668_1
crossref_primary_10_1038_s42005_024_01711_9
crossref_primary_10_1103_PhysRevA_106_052605
crossref_primary_10_1007_s42484_024_00231_7
crossref_primary_10_1038_s42005_024_01705_7
crossref_primary_10_7566_JPSJ_91_074008
crossref_primary_10_1038_s41598_025_04568_2
crossref_primary_10_7566_JPSJ_93_034001
crossref_primary_10_1007_s10479_022_04634_2
crossref_primary_10_1088_1402_4896_addb13
Cites_doi 10.1007/978-3-319-61566-0_39
10.1103/PhysRevB.82.024511
10.1287/ijoc.2017.0798
10.3389/fphy.2019.00048
10.1126/science.220.4598.671
10.1126/science.1057726
10.1103/PhysRevX.7.041052
10.1126/sciadv.abe7953
10.1088/0305-4470/19/9/033
10.1126/sciadv.aav2372
10.1038/srep21686
10.1088/0305-4470/15/10/028
10.1103/PhysRevLett.35.1792
10.1038/srep00571
10.3389/fphy.2014.00005
10.1103/RevModPhys.80.1061
10.1103/PhysRevLett.108.230506
10.1080/14786437708235992
10.1038/nature10012
10.1038/s41534-018-0060-8
10.1038/nature24047
10.1007/3-540-61551-2_70
10.1126/science.aah4243
10.1088/2058-9565/ac4d1b
10.1145/365411.365760
10.1016/j.tcs.2020.02.010
10.1038/srep06603
ContentType Journal Article
Copyright The Author(s) 2022
2022. The Author(s).
The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: The Author(s) 2022
– notice: 2022. The Author(s).
– notice: The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID C6C
AAYXX
CITATION
NPM
3V.
7X7
7XB
88A
88E
88I
8FE
8FH
8FI
8FJ
8FK
ABUWG
AEUYN
AFKRA
AZQEC
BBNVY
BENPR
BHPHI
CCPQU
DWQXO
FYUFA
GHDGH
GNUQQ
HCIFZ
K9.
LK8
M0S
M1P
M2P
M7P
PHGZM
PHGZT
PIMPY
PJZUB
PKEHL
PPXIY
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
Q9U
7X8
5PM
DOA
DOI 10.1038/s41598-022-06070-5
DatabaseName Springer Nature OA Free Journals
CrossRef
PubMed
ProQuest Central (Corporate)
Health & Medical Collection
ProQuest Central (purchase pre-March 2016)
Biology Database (Alumni Edition)
Medical Database (Alumni Edition)
Science Database (Alumni Edition)
ProQuest SciTech Collection
ProQuest Natural Science Collection
Hospital Premium Collection
Hospital Premium Collection (Alumni Edition)
ProQuest Central (Alumni) (purchase pre-March 2016)
ProQuest Central (Alumni)
ProQuest One Sustainability (subscription)
ProQuest Central UK/Ireland
ProQuest Central Essentials - QC
Biological Science Collection
ProQuest Central
Natural Science Collection
ProQuest One Community College
ProQuest Central
Health Research Premium Collection
Health Research Premium Collection (Alumni)
ProQuest Central Student
SciTech Premium Collection
ProQuest Health & Medical Complete (Alumni)
Biological Sciences
Health & Medical Collection (Alumni)
Medical Database
Science Database
Biological Science Database
ProQuest Central Premium
ProQuest One Academic (New)
Publicly Available Content Database
ProQuest Health & Medical Research Collection
ProQuest One Academic Middle East (New)
ProQuest One Health & Nursing
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
ProQuest Central Basic
MEDLINE - Academic
PubMed Central (Full Participant titles)
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
PubMed
Publicly Available Content Database
ProQuest Central Student
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
ProQuest Health & Medical Complete (Alumni)
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest One Health & Nursing
ProQuest Natural Science Collection
ProQuest Central China
ProQuest Biology Journals (Alumni Edition)
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest One Sustainability
ProQuest Health & Medical Research Collection
Health Research Premium Collection
Health and Medicine Complete (Alumni Edition)
Natural Science Collection
ProQuest Central Korea
Health & Medical Research Collection
Biological Science Collection
ProQuest Central (New)
ProQuest Medical Library (Alumni)
ProQuest Science Journals (Alumni Edition)
ProQuest Biological Science Collection
ProQuest Central Basic
ProQuest Science Journals
ProQuest One Academic Eastern Edition
ProQuest Hospital Collection
Health Research Premium Collection (Alumni)
Biological Science Database
ProQuest SciTech Collection
ProQuest Hospital Collection (Alumni)
ProQuest Health & Medical Complete
ProQuest Medical Library
ProQuest One Academic UKI Edition
ProQuest One Academic
ProQuest One Academic (New)
ProQuest Central (Alumni)
MEDLINE - Academic
DatabaseTitleList
CrossRef
PubMed


MEDLINE - Academic
Publicly Available Content Database
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: NPM
  name: PubMed
  url: http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed
  sourceTypes: Index Database
– sequence: 3
  dbid: PIMPY
  name: Publicly Available Content Database
  url: http://search.proquest.com/publiccontent
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Biology
EISSN 2045-2322
EndPage 10
ExternalDocumentID oai_doaj_org_article_ce8f8f126ace479aaf6fa885e910b7ea
PMC8828756
35140264
10_1038_s41598_022_06070_5
Genre Journal Article
GrantInformation_xml – fundername: MEXT-Quantum Leap Flagship Program
  grantid: JPMXS0120352009
– fundername: Japan Society for the Promotion of Science
  grantid: 20H02168
  funderid: http://dx.doi.org/10.13039/501100001691
– fundername: Japan Society for the Promotion of Science
  grantid: 20H02168
– fundername: ;
  grantid: 20H02168
– fundername: ;
  grantid: JPMXS0120352009
GroupedDBID 0R~
3V.
4.4
53G
5VS
7X7
88A
88E
88I
8FE
8FH
8FI
8FJ
AAFWJ
AAJSJ
AAKDD
ABDBF
ABUWG
ACGFS
ACSMW
ACUHS
ADBBV
ADRAZ
AENEX
AEUYN
AFKRA
AJTQC
ALIPV
ALMA_UNASSIGNED_HOLDINGS
AOIJS
AZQEC
BAWUL
BBNVY
BCNDV
BENPR
BHPHI
BPHCQ
BVXVI
C6C
CCPQU
DIK
DWQXO
EBD
EBLON
EBS
ESX
FYUFA
GNUQQ
GROUPED_DOAJ
GX1
HCIFZ
HH5
HMCUK
HYE
KQ8
LK8
M0L
M1P
M2P
M48
M7P
M~E
NAO
OK1
PIMPY
PQQKQ
PROAC
PSQYO
RNT
RNTTT
RPM
SNYQT
UKHRP
AASML
AAYXX
AFFHD
AFPKN
CITATION
PHGZM
PHGZT
PJZUB
PPXIY
PQGLB
NPM
7XB
8FK
K9.
PKEHL
PQEST
PQUKI
PRINS
Q9U
7X8
5PM
ID FETCH-LOGICAL-c540t-58e2c2593ab61f68f3ac352753ca9660921a752e0ebd51c097fdcfcd012a1ec23
IEDL.DBID M7P
ISICitedReferencesCount 36
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000757457000068&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2045-2322
IngestDate Fri Oct 03 12:52:04 EDT 2025
Tue Nov 04 01:57:44 EST 2025
Sun Nov 09 13:22:27 EST 2025
Tue Oct 07 09:17:15 EDT 2025
Thu Jan 02 22:54:56 EST 2025
Sat Nov 29 02:51:25 EST 2025
Tue Nov 18 21:30:30 EST 2025
Fri Feb 21 02:40:14 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License 2022. The Author(s).
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c540t-58e2c2593ab61f68f3ac352753ca9660921a752e0ebd51c097fdcfcd012a1ec23
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
OpenAccessLink https://www.proquest.com/docview/2627014391?pq-origsite=%requestingapplication%
PMID 35140264
PQID 2627014391
PQPubID 2041939
PageCount 10
ParticipantIDs doaj_primary_oai_doaj_org_article_ce8f8f126ace479aaf6fa885e910b7ea
pubmedcentral_primary_oai_pubmedcentral_nih_gov_8828756
proquest_miscellaneous_2627477318
proquest_journals_2627014391
pubmed_primary_35140264
crossref_citationtrail_10_1038_s41598_022_06070_5
crossref_primary_10_1038_s41598_022_06070_5
springer_journals_10_1038_s41598_022_06070_5
PublicationCentury 2000
PublicationDate 2022-02-09
PublicationDateYYYYMMDD 2022-02-09
PublicationDate_xml – month: 02
  year: 2022
  text: 2022-02-09
  day: 09
PublicationDecade 2020
PublicationPlace London
PublicationPlace_xml – name: London
– name: England
PublicationTitle Scientific reports
PublicationTitleAbbrev Sci Rep
PublicationTitleAlternate Sci Rep
PublicationYear 2022
Publisher Nature Publishing Group UK
Nature Publishing Group
Nature Portfolio
Publisher_xml – name: Nature Publishing Group UK
– name: Nature Publishing Group
– name: Nature Portfolio
References Harris (CR4) 2010; 82
Aramon (CR19) 2019; 7
Goto (CR23) 2021; 7
Goto (CR22) 2016
CR16
Benedetti, Realpe-Gómez, Biswas, Perdomo-Ortiz (CR14) 2017; 7
CR36
CR12
CR11
CR32
Mezard, Parisi, Virasoro (CR34) 1987
CR30
Garnerone, Zanardi, Lidar (CR10) 2012; 108
Farhi (CR1) 2001; 292
Johnson (CR3) 2011; 473
Clark, Freuder (CR31) 1996
Sherrington, Kirkpatrick (CR33) 1975; 35
Barahona (CR7) 1982; 15
Thouless, Anderson, Palmer (CR35) 1977; 35
Matsubara, Barolli, Terzo (CR24) 2018
Goto, Tatsumura, Dixon (CR18) 2019
Tsukamoto, Takatsu, Matsubara, Tamura (CR25) 2017; 53
Perdomo-Ortiz, Dickson, Drew-Brook, Rose, Aspuru-Guzik (CR9) 2012; 2
Das, Chakrabarti (CR2) 2008; 80
Dunning, Gupta, Silberholz (CR28) 2018; 30
CR29
CR27
CR26
Fu, Anderson (CR6) 1986; 19
Mott, Job, Vlimant, Lidar, Spiropulu (CR13) 2017; 550
Lucas (CR8) 2014; 2
CR21
CR20
Kirkpatrick, Gelatt, Vecchi (CR5) 1983; 220
Li, Di Felice, Rohs, Lidar (CR15) 2018; 4
Inagaki (CR17) 2016; 354
S Garnerone (6070_CR10) 2012; 108
6070_CR27
A Das (6070_CR2) 2008; 80
6070_CR29
H Goto (6070_CR22) 2016
DA Clark (6070_CR31) 1996
E Farhi (6070_CR1) 2001; 292
A Lucas (6070_CR8) 2014; 2
S Matsubara (6070_CR24) 2018
RY Li (6070_CR15) 2018; 4
M Aramon (6070_CR19) 2019; 7
H Goto (6070_CR23) 2021; 7
R Harris (6070_CR4) 2010; 82
D Sherrington (6070_CR33) 1975; 35
M Johnson (6070_CR3) 2011; 473
I Dunning (6070_CR28) 2018; 30
6070_CR30
6070_CR11
6070_CR32
6070_CR12
6070_CR36
A Perdomo-Ortiz (6070_CR9) 2012; 2
6070_CR16
S Tsukamoto (6070_CR25) 2017; 53
H Goto (6070_CR18) 2019
F Barahona (6070_CR7) 1982; 15
M Benedetti (6070_CR14) 2017; 7
T Inagaki (6070_CR17) 2016; 354
M Mezard (6070_CR34) 1987
DJ Thouless (6070_CR35) 1977; 35
6070_CR20
S Kirkpatrick (6070_CR5) 1983; 220
Y Fu (6070_CR6) 1986; 19
A Mott (6070_CR13) 2017; 550
6070_CR21
6070_CR26
References_xml – start-page: 432
  year: 2018
  end-page: 438
  ident: CR24
  article-title: Ising-model optimizer with parallel-trial bit-sieve engine
  publication-title: Complex, Intelligent, and Software Intensive Systems
  doi: 10.1007/978-3-319-61566-0_39
– volume: 82
  year: 2010
  ident: CR4
  article-title: Experimental investigation of an eight-qubit unit cell in a superconducting optimization processor
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.82.024511
– volume: 30
  start-page: 608
  year: 2018
  end-page: 624
  ident: CR28
  article-title: What works best when? A systematic evaluation of heuristics for max-cut and QUBO
  publication-title: INFORMS J. Comput.
  doi: 10.1287/ijoc.2017.0798
– volume: 7
  start-page: 48
  year: 2019
  ident: CR19
  article-title: Physics-inspired optimization for quadratic unconstrained problems using a digital annealer
  publication-title: Front. Phys.
  doi: 10.3389/fphy.2019.00048
– volume: 220
  start-page: 671
  year: 1983
  end-page: 680
  ident: CR5
  article-title: Optimization by simulated annealing
  publication-title: Science
  doi: 10.1126/science.220.4598.671
– ident: CR16
– volume: 292
  start-page: 472
  year: 2001
  end-page: 475
  ident: CR1
  article-title: A quantum adiabatic evolution algorithm applied to random instances of an np-complete problem
  publication-title: Science
  doi: 10.1126/science.1057726
– ident: CR12
– volume: 7
  year: 2017
  ident: CR14
  article-title: Quantum-assisted learning of hardware-embedded probabilistic graphical models
  publication-title: Phys. Rev. X
  doi: 10.1103/PhysRevX.7.041052
– ident: CR30
– ident: CR29
– volume: 7
  start-page: eabe7953
  year: 2021
  ident: CR23
  article-title: High-performance combinatorial optimization based on classical mechanics
  publication-title: Sci. Adv.
  doi: 10.1126/sciadv.abe7953
– volume: 19
  start-page: 1605
  year: 1986
  end-page: 1620
  ident: CR6
  article-title: Application of statistical mechanics to NP-complete problems in combinatorial optimisation
  publication-title: J. Phys. A: Math. Gen.
  doi: 10.1088/0305-4470/19/9/033
– year: 2019
  ident: CR18
  article-title: Combinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems
  publication-title: Sci. Adv.
  doi: 10.1126/sciadv.aav2372
– ident: CR27
– year: 2016
  ident: CR22
  article-title: Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
  publication-title: Sci. Rep.
  doi: 10.1038/srep21686
– volume: 15
  start-page: 3241
  year: 1982
  end-page: 3253
  ident: CR7
  article-title: On the computational complexity of ising spin glass models
  publication-title: J. Phys. A: Math. Gen.
  doi: 10.1088/0305-4470/15/10/028
– volume: 35
  start-page: 1792
  year: 1975
  end-page: 1796
  ident: CR33
  article-title: Solvable model of a spin-glass
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.35.1792
– ident: CR21
– volume: 2
  start-page: 571
  year: 2012
  ident: CR9
  article-title: Finding low-energy conformations of lattice protein models by quantum annealing
  publication-title: Sci. Rep.
  doi: 10.1038/srep00571
– volume: 2
  start-page: 5
  year: 2014
  ident: CR8
  article-title: Ising formulations of many np problems
  publication-title: Front. Phys.
  doi: 10.3389/fphy.2014.00005
– volume: 53
  start-page: 8
  year: 2017
  end-page: 13
  ident: CR25
  article-title: An accelerator architecture for combinatorial optimization problems
  publication-title: Fujitsu Sci. Tech. J.
– ident: CR11
– year: 1987
  ident: CR34
  publication-title: Spin Glass Theory and Beyond: An Introduction to the Replica Method and its Applications. World Scientific Lecture Notes in Physics
– volume: 80
  start-page: 1061
  year: 2008
  end-page: 1081
  ident: CR2
  article-title: Colloquium: Quantum annealing and analog quantum computation
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.80.1061
– volume: 108
  year: 2012
  ident: CR10
  article-title: Adiabatic quantum algorithm for search engine ranking
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.108.230506
– ident: CR32
– volume: 35
  start-page: 593
  year: 1977
  end-page: 601
  ident: CR35
  article-title: Solution of ‘solvable model of a spin glass’
  publication-title: Philos. Mag. A J. Theor. Exp. Appl. Phys.
  doi: 10.1080/14786437708235992
– volume: 473
  start-page: 194
  year: 2011
  end-page: 198
  ident: CR3
  article-title: Quantum annealing with manufactured spins
  publication-title: Nature
  doi: 10.1038/nature10012
– volume: 4
  year: 2018
  ident: CR15
  article-title: Quantum annealing versus classical machine learning applied to a simplified computational biology problem
  publication-title: NPJ Quantum Inf.
  doi: 10.1038/s41534-018-0060-8
– ident: CR36
– volume: 550
  start-page: 375
  year: 2017
  end-page: 379
  ident: CR13
  article-title: Solving a Higgs optimization problem with quantum annealing for machine learning
  publication-title: Nature
  doi: 10.1038/nature24047
– start-page: 119
  year: 1996
  end-page: 133
  ident: CR31
  article-title: Local search and the number of solutions
  publication-title: Principles and Practice of Constraint Programming—CP96
  doi: 10.1007/3-540-61551-2_70
– volume: 354
  start-page: 603
  year: 2016
  end-page: 606
  ident: CR17
  article-title: A coherent ising machine for 2000-node optimization problems
  publication-title: Science
  doi: 10.1126/science.aah4243
– ident: CR26
– ident: CR20
– ident: 6070_CR27
– volume: 7
  start-page: 48
  year: 2019
  ident: 6070_CR19
  publication-title: Front. Phys.
  doi: 10.3389/fphy.2019.00048
– volume: 15
  start-page: 3241
  year: 1982
  ident: 6070_CR7
  publication-title: J. Phys. A: Math. Gen.
  doi: 10.1088/0305-4470/15/10/028
– volume: 2
  start-page: 5
  year: 2014
  ident: 6070_CR8
  publication-title: Front. Phys.
  doi: 10.3389/fphy.2014.00005
– ident: 6070_CR21
– volume: 550
  start-page: 375
  year: 2017
  ident: 6070_CR13
  publication-title: Nature
  doi: 10.1038/nature24047
– volume: 7
  year: 2017
  ident: 6070_CR14
  publication-title: Phys. Rev. X
  doi: 10.1103/PhysRevX.7.041052
– ident: 6070_CR20
  doi: 10.1088/2058-9565/ac4d1b
– volume-title: Spin Glass Theory and Beyond: An Introduction to the Replica Method and its Applications. World Scientific Lecture Notes in Physics
  year: 1987
  ident: 6070_CR34
– ident: 6070_CR30
  doi: 10.1145/365411.365760
– volume: 2
  start-page: 571
  year: 2012
  ident: 6070_CR9
  publication-title: Sci. Rep.
  doi: 10.1038/srep00571
– ident: 6070_CR36
– volume: 292
  start-page: 472
  year: 2001
  ident: 6070_CR1
  publication-title: Science
  doi: 10.1126/science.1057726
– ident: 6070_CR32
– volume: 7
  start-page: eabe7953
  year: 2021
  ident: 6070_CR23
  publication-title: Sci. Adv.
  doi: 10.1126/sciadv.abe7953
– ident: 6070_CR29
  doi: 10.1016/j.tcs.2020.02.010
– volume: 35
  start-page: 593
  year: 1977
  ident: 6070_CR35
  publication-title: Philos. Mag. A J. Theor. Exp. Appl. Phys.
  doi: 10.1080/14786437708235992
– year: 2019
  ident: 6070_CR18
  publication-title: Sci. Adv.
  doi: 10.1126/sciadv.aav2372
– ident: 6070_CR26
– volume: 30
  start-page: 608
  year: 2018
  ident: 6070_CR28
  publication-title: INFORMS J. Comput.
  doi: 10.1287/ijoc.2017.0798
– ident: 6070_CR11
  doi: 10.1038/srep06603
– volume: 19
  start-page: 1605
  year: 1986
  ident: 6070_CR6
  publication-title: J. Phys. A: Math. Gen.
  doi: 10.1088/0305-4470/19/9/033
– volume: 4
  year: 2018
  ident: 6070_CR15
  publication-title: NPJ Quantum Inf.
  doi: 10.1038/s41534-018-0060-8
– volume: 53
  start-page: 8
  year: 2017
  ident: 6070_CR25
  publication-title: Fujitsu Sci. Tech. J.
– start-page: 432
  volume-title: Complex, Intelligent, and Software Intensive Systems
  year: 2018
  ident: 6070_CR24
  doi: 10.1007/978-3-319-61566-0_39
– volume: 220
  start-page: 671
  year: 1983
  ident: 6070_CR5
  publication-title: Science
  doi: 10.1126/science.220.4598.671
– ident: 6070_CR16
– year: 2016
  ident: 6070_CR22
  publication-title: Sci. Rep.
  doi: 10.1038/srep21686
– volume: 108
  year: 2012
  ident: 6070_CR10
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.108.230506
– volume: 80
  start-page: 1061
  year: 2008
  ident: 6070_CR2
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.80.1061
– ident: 6070_CR12
– volume: 35
  start-page: 1792
  year: 1975
  ident: 6070_CR33
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.35.1792
– volume: 473
  start-page: 194
  year: 2011
  ident: 6070_CR3
  publication-title: Nature
  doi: 10.1038/nature10012
– volume: 82
  year: 2010
  ident: 6070_CR4
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.82.024511
– start-page: 119
  volume-title: Principles and Practice of Constraint Programming—CP96
  year: 1996
  ident: 6070_CR31
  doi: 10.1007/3-540-61551-2_70
– volume: 354
  start-page: 603
  year: 2016
  ident: 6070_CR17
  publication-title: Science
  doi: 10.1126/science.aah4243
SSID ssj0000529419
Score 2.5887814
Snippet Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further...
Abstract Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For...
SourceID doaj
pubmedcentral
proquest
pubmed
crossref
springer
SourceType Open Website
Open Access Repository
Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 2146
SubjectTerms 639/766/25
639/766/259
639/766/483
Humanities and Social Sciences
multidisciplinary
Phase transitions
Science
Science (multidisciplinary)
SummonAdditionalLinks – databaseName: DOAJ Directory of Open Access Journals
  dbid: DOA
  link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Lb9QwEB6hqkhcEC2vQEFB4gZRYyd-HSmi4lRxAKk3y3HG2hVstuxukPj3jO3s0uV5qZRTMolGM58zM7LnG4CXQiuUdc8q3aGrKP8PlUFDpQo2nitUPNR52IS6uNCXl-bDtVFf8UxYpgfOhjv1qIMOjEvnsVXGuSCD01rQB-tOYUqNKOu5VkxlVm9uWmamLpm60adrilSxm4xqr1oSziuxF4kSYf-fsszfD0v-smOaAtH5Pbg7ZZDlm6z5EdzC4Rhu55mS3--DPSPczRZu9blchvLrSJYbF9V8iDvq2JczHDM3c0mgi0cySspao1gfoeBLCnMxY4yDI0i6S9265ZL-K4upYfMBfDp_9_Ht-2qaolB5ysY2ldDIPRU5jeskC1KHxnnKuqhM8S5ScxrOnBIca-x6wXxtVOh98D1FLsfQ8-YhHAzLAR9D2XuDjTROty1VbSFEYhveOHqrF4oJVQDbWtT6iWI8KvzFpq3uRtvsBUtesMkLVhTwavfOVSbY-Kf0WXTUTjKSY6cbBBk7Qcb-DzIFnGzdbKcVu7ZcchW5Dg0r4MXuMa21uIHiBlyOWaZVin6DBTzKqNhpEjsiqJ5tC1B7eNlTdf_JMJ8lPm8dhw4IWcDrLbJ-qvV3Uzy5CVM8hTs8LQm6zAkcbFYjPoND_20zX6-epzX1A7m4Jw4
  priority: 102
  providerName: Directory of Open Access Journals
Title Benchmark of quantum-inspired heuristic solvers for quadratic unconstrained binary optimization
URI https://link.springer.com/article/10.1038/s41598-022-06070-5
https://www.ncbi.nlm.nih.gov/pubmed/35140264
https://www.proquest.com/docview/2627014391
https://www.proquest.com/docview/2627477318
https://pubmed.ncbi.nlm.nih.gov/PMC8828756
https://doaj.org/article/ce8f8f126ace479aaf6fa885e910b7ea
Volume 12
WOSCitedRecordID wos000757457000068&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAON
  databaseName: DOAJ Directory of Open Access Journals
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: DOA
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.doaj.org/
  providerName: Directory of Open Access Journals
– providerCode: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: M~E
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
– providerCode: PRVPQU
  databaseName: Biological Science Database
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: M7P
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/biologicalscijournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Health & Medical Collection
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: 7X7
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/healthcomplete
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: BENPR
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Publicly Available Content Database
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: PIMPY
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/publiccontent
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: M2P
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3db9MwED-xDaS98A0LjCpIvEG0xPmw_YQo2gQPqyIEUnmyHMdeK2iytQ0S_z13TtqpfOwFKcpDfJGc3J3vzuf7HcCrXHBbxHUSicrqCP1_F0krMVSxqWHccubivtkEn0zEdCrLYcNtNRyr3KyJfqGuW0N75CesYJyw6GTy9vIqoq5RlF0dWmjswQGhJKT-6F653WOhLFaWyKFWJk7FyQrtFdWUYQQWFyjtUb5jjzxs_998zT-PTP6WN_Xm6Oze_37Ifbg7OKLhu15yHsAt2zyEO31ryp-PQI1RfGcLvfwWti686pAB3SKaN5SYt3U4s10P8Ryi7NLJjhCdXyKrSaJMiNaSHE_qP4HUlS_6DVtcnhZD3edj-HJ2-vn9h2hoxhAZdOrWUS4sMxgrpboqElcIl2qDzhtGO0YTwqdkieY5s7Gt6jwxseSuNs7UaAB1Yg1Ln8B-0zb2CMLaSJsWUossw-DPOcLHYanGt-qcJzkPINmwRJkBqZwm_F35jHkqVM9GhWxUno0qD-D19p3LHqfjRuoxcXpLSRjb_kG7vFCDyipjhRMuYYU2NuNSa1c4LUSOohxX3OoAjjcMVoPir9Q1dwN4uR1GlaU8jG5s2_U0Gee4mgbwtBer7UyosALD4iwAviNwO1PdHWnmMw8LLqh3QV4E8GYjmtfT-veveHbzVzyHQ-a1BS95DPvrZWdfwG3zYz1fLUewx6fc38UIDsank_LTyO9q4P2clSOvjjhSfjwvv_4C5pI6Wg
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Jb9QwFH6qpiC4sC-BAkGCE0RNnMX2ASEKVB21Hc2hSOXkOo7NjNpJ2llA_VP8Rt7LMtWw9NYDUk7Ji-Qk3_f8OX4LwKtUcJuFRRSI3OoA9b8LpJW4VLGxYdxy5sKm2QQfDMThoRyuwc8uF4bCKjufWDvqojL0j3yTZYxTLToZvT89C6hrFO2udi00Gljs2vMfuGSbvet_wu_7mrHtzwcfd4K2q0BgUJ3Mg1RYZlD0xzrPIpcJF2uDKgRlu9FUqlKySPOU2dDmRRqZUHJXGGcK9OQ6soYKHaDLX08Q7KIH68P-_vDr8q8O7ZslkWyzc8JYbM5whqQsNlzzhRnyK0hXZsC6UcDf1O2fQZq_7dTWE-D27f_t1d2BW63U9j803LgLa7a8B9eb5pvn90FtIUFHEz099ivnny0QYotJMC4p9MAW_sgumiLWPrKTYld8lPdkVhBnjI96gKQ1ddhA67xOa_YrdMCTNrP1AXy5kqd7CL2yKu1j8AsjbZxJLRAliXSOKgCxWONdRcqjlHsQdRBQpq3FTgM-UXVMQCxUAxuFsFE1bFTqwZvlPadNJZJLrbcIWUtLqiJen6im31TrlJSxwgkXsUwbm3CptcucFiJFsoY5t9qDjQ5QqnVtM3WBJg9eLi-jU6KdJl3aatHYJJzjfOHBowbGy5FQ6ggu_BMP-ArAV4a6eqUcj-rC54K6M6SZB287KlwM69-v4snlT_ECbuwc7O-pvf5g9yncZDVT8ZAb0JtPF_YZXDPf5-PZ9HlLdh-OrpokvwCD05HM
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB5V5SEuvAuBAkGCE0SbOJvYPiBEKSuqotUeQOrNeB2bXcEm7e4G1L_Gr2PGeVTLo7cekHJKJpKTfN_4czwPgGeZ4DaPiyQSU6sj1P8uklbiUsWmhnHLmYubZhN8PBZHR3KyBT-7XBgKq-x8onfURWXoH_mA5YxTLTqZDFwbFjHZH70-PomogxTttHbtNBqIHNrTH7h8W7062Mdv_Zyx0buPb99HbYeByKBSWUeZsMzgAiDV0zxxuXCpNqhIUMIbTWUrJUs0z5iN7bTIEhNL7grjTIFeXSfWUNEDdP-XOBUt92GDk_7_Du2gDRPZ5unEqRiscK6kfDZc_cU5Mi3KNuZC3zLgbzr3z3DN3_Zs_VQ4uvE_v8SbcL0V4OGbhjG3YMuWt-FK05Lz9A6oPaTtbKGXX8PKhSc1Aq9eRPOSAhJsEc5s3ZS2DpGzFNESougns4KYZEJUCSS4qe8GWk99snNYoVtetPmud-HThTzdDmyXVWnvQ1gYadNcajEc4qLXOaoLxFKNdxUZTzIeQNLBQZm2QjsN-JvykQKpUA2EFEJIeQipLIAX_T3HTX2Sc633CGW9JdUW9yeq5RfVuiplrHDCJSzXxg651NrlTguRIYXjKbc6gN0OXKp1eCt1hqwAnvaX0VXR_pMubVU3NkPOcRYJ4F4D6X4klFASozgPgG-AfWOom1fK-cyXQxfUsyHLA3jZ0eJsWP9-FQ_Of4oncBWZoT4cjA8fwjXmSYuH3IXt9bK2j-Cy-b6er5aPPetD-HzRDPkFuW2ZCw
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Benchmark+of+quantum-inspired+heuristic+solvers+for+quadratic+unconstrained+binary+optimization&rft.jtitle=Scientific+reports&rft.au=Oshiyama%2C+Hiroki&rft.au=Ohzeki%2C+Masayuki&rft.date=2022-02-09&rft.eissn=2045-2322&rft.volume=12&rft.issue=1&rft.spage=2146&rft_id=info:doi/10.1038%2Fs41598-022-06070-5&rft_id=info%3Apmid%2F35140264&rft.externalDocID=35140264
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2045-2322&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2045-2322&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2045-2322&client=summon