{"id":"https://openalex.org/W4387908577","doi":"https://doi.org/10.22331/q-2023-10-24-1151","title":"Combinatorial optimization solving by coherent Ising machines based on spiking neural networks","display_name":"Combinatorial optimization solving by coherent Ising machines based on spiking neural networks","publication_year":2023,"publication_date":"2023-10-24","ids":{"openalex":"https://openalex.org/W4387908577","doi":"https://doi.org/10.22331/q-2023-10-24-1151"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-10-24-1151","doi":"https://doi.org/10.22331/q-2023-10-24-1151","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-24-1151","pdf_url":"https://quantum-journal.org/papers/q-2023-10-24-1151/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2023-10-24-1151/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101700196","display_name":"Bo L\u00fc","orcid":"https://orcid.org/0000-0003-2688-8602","observed_orcids":["https://orcid.org/0000-0003-2688-8602","https://orcid.org/0009-0003-8878-9447"]},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Lu","raw_affiliation_strings":["School of Artificial Intelligence, Beijing Normal University, Beijing 100875, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing 100875, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072924265","display_name":"Yong\u2010Pan Gao","orcid":"https://orcid.org/0000-0001-5351-0627","observed_orcids":["https://orcid.org/0000-0001-5351-0627"]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong-Pan Gao","raw_affiliation_strings":["School of Electronics Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089250397","display_name":"Kai Wen","orcid":"https://orcid.org/0000-0002-7496-1248","observed_orcids":["https://orcid.org/0000-0002-7496-1248"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kai Wen","raw_affiliation_strings":["Beijing QBoson Quantum Technology Co., Ltd., Beijing 100015, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing QBoson Quantum Technology Co., Ltd., Beijing 100015, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100443590","display_name":"Chuan  Xi Wang","orcid":"https://orcid.org/0000-0002-0466-3165","observed_orcids":["https://orcid.org/0000-0002-0466-3165"]},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuan Wang","raw_affiliation_strings":["School of Artificial Intelligence, Beijing Normal University, Beijing 100875, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing 100875, China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":1.0465,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.7857727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"1151","last_page":"1151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.004800000227987766,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"combinatorial optimization","score":0.8199999928474426},{"id":"https://openalex.org/keywords/coherent-ising-machine","display_name":"coherent Ising machine","score":0.9570000171661377},{"id":"https://openalex.org/keywords/spiking-neural-networks","display_name":"spiking neural networks","score":0.8679999709129333},{"id":"https://openalex.org/keywords/degenerate-optical-parametric-oscillator","display_name":"degenerate optical parametric oscillator","score":0.9290000200271606},{"id":"https://openalex.org/keywords/nonlinear-transfer-function","display_name":"nonlinear transfer function","score":0.9829999804496765},{"id":"https://openalex.org/keywords/local-optima-avoidance","display_name":"local optima avoidance","score":0.7250000238418579},{"id":"https://openalex.org/keywords/neuromorphic-computing","display_name":"neuromorphic computing","score":0.9089999794960022},{"id":"https://openalex.org/keywords/optical-computing","display_name":"optical computing","score":0.9700000286102295}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6701998710632324},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6579703688621521},{"id":"https://openalex.org/C11731999","wikidata":"https://www.wikidata.org/wiki/Q9067355","display_name":"Spiking neural network","level":3,"score":0.6362423300743103},{"id":"https://openalex.org/C151927369","wikidata":"https://www.wikidata.org/wiki/Q1981312","display_name":"Neuromorphic engineering","level":3,"score":0.6336712837219238},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.5713298916816711},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5232176780700684},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.5153857469558716},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.45729860663414},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3966057598590851},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3418452739715576},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30794692039489746},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2762618660926819},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26509585976600647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15577110648155212},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11661753058433533},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2023-10-24-1151","doi":"https://doi.org/10.22331/q-2023-10-24-1151","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-24-1151","pdf_url":"https://quantum-journal.org/papers/q-2023-10-24-1151/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2208.07502","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2208.07502","pdf_url":"https://arxiv.org/pdf/2208.07502","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:9b77b31a2a7645c7b172250d4b3db712","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/9b77b31a2a7645c7b172250d4b3db712","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 7, p 1151 (2023)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2208.07502","doi":"https://doi.org/10.48550/arxiv.2208.07502","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2208.07502","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.22331/q-2023-10-24-1151","doi":"https://doi.org/10.22331/q-2023-10-24-1151","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-24-1151","pdf_url":"https://quantum-journal.org/papers/q-2023-10-24-1151/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1649438512","display_name":null,"funder_award_id":"62131002 and 62371050","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387908577.pdf","grobid_xml":"https://content.openalex.org/works/W4387908577.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W101771737","https://openalex.org/W174492123","https://openalex.org/W1983624953","https://openalex.org/W1986240377","https://openalex.org/W2009986636","https://openalex.org/W2042545232","https://openalex.org/W2043679829","https://openalex.org/W2048785307","https://openalex.org/W2064939459","https://openalex.org/W2145339207","https://openalex.org/W2159739530","https://openalex.org/W2164653071","https://openalex.org/W2242324393","https://openalex.org/W2338018404","https://openalex.org/W2533968486","https://openalex.org/W2534684513","https://openalex.org/W2538025098","https://openalex.org/W2588067191","https://openalex.org/W2592822424","https://openalex.org/W2887462821","https://openalex.org/W2899130070","https://openalex.org/W2901224411","https://openalex.org/W2947189577","https://openalex.org/W2949302013","https://openalex.org/W2965416137","https://openalex.org/W3028341808","https://openalex.org/W3087878439","https://openalex.org/W3098120853","https://openalex.org/W3101563722","https://openalex.org/W3152526019","https://openalex.org/W3169831598","https://openalex.org/W3197467828","https://openalex.org/W3199337633","https://openalex.org/W3204628099","https://openalex.org/W4200531832","https://openalex.org/W4210879222","https://openalex.org/W4220868193","https://openalex.org/W4298227433","https://openalex.org/W4310060202","https://openalex.org/W4313417335"],"related_works":["https://openalex.org/W3089892344","https://openalex.org/W4313442939","https://openalex.org/W4386227293","https://openalex.org/W4372267706","https://openalex.org/W4288055417","https://openalex.org/W4287758233","https://openalex.org/W2960220682","https://openalex.org/W4205804651","https://openalex.org/W3136467750","https://openalex.org/W2885510266"],"abstract_inverted_index":{"Spiking":[0],"neural":[1,36,59,106,125],"network":[2,37,60],"is":[3,10,61,79,100,118],"a":[4],"kind":[5],"of":[6,16,49,96],"neuromorphic":[7],"computing":[8,126],"that":[9,40,103],"believed":[11],"to":[12,45,81,92,120],"improve":[13],"the":[14,47,57,64,87,93,104],"level":[15],"intelligence":[17],"and":[18,38,72,85,127],"provide":[19],"advantages":[20],"for":[21,124],"quantum":[22],"computing.":[23,129],"In":[24],"this":[25,29],"work,":[26],"we":[27],"address":[28],"issue":[30],"by":[31,63],"designing":[32],"an":[33],"optical":[34,68,128],"spiking":[35,58,97,105],"find":[39],"it":[41],"can":[42],"be":[43],"used":[44],"accelerate":[46],"speed":[48],"computation,":[50],"especially":[51],"on":[52,113],"combinatorial":[53,114],"optimization":[54,115],"problems.":[55],"Here":[56],"constructed":[62],"antisymmetrically":[65],"coupled":[66],"degenerate":[67],"parametric":[69],"oscillator":[70],"pulses":[71],"dissipative":[73],"pulses.":[74],"A":[75],"nonlinear":[76],"transfer":[77],"function":[78],"chosen":[80],"mitigate":[82],"amplitude":[83],"inhomogeneities":[84],"destabilize":[86],"resulting":[88],"local":[89],"minima":[90],"according":[91],"dynamical":[94],"behavior":[95],"neurons.":[98],"It":[99],"numerically":[101],"shown":[102],"network-coherent":[107],"Ising":[108],"machines":[109],"have":[110],"excellent":[111],"performance":[112],"problems,":[116],"which":[117],"expected":[119],"offer":[121],"new":[122],"applications":[123]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}