{"id":"https://openalex.org/W4366087273","doi":"https://doi.org/10.22331/q-2023-04-17-981","title":"Quantum Phase Recognition via Quantum Kernel Methods","display_name":"Quantum Phase Recognition via Quantum Kernel Methods","publication_year":2023,"publication_date":"2023-04-17","ids":{"openalex":"https://openalex.org/W4366087273","doi":"https://doi.org/10.22331/q-2023-04-17-981"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-04-17-981","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-04-17-981","pdf_url":"https://quantum-journal.org/papers/q-2023-04-17-981/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,"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"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2023-04-17-981/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001308300","display_name":"Yusen Wu","orcid":"https://orcid.org/0000-0003-4299-6945"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Yusen Wu","raw_affiliation_strings":["Department of Physics, The University of Western Australia, Perth, WA 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, The University of Western Australia, Perth, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034053475","display_name":"Bujiao Wu","orcid":"https://orcid.org/0000-0003-3894-2979"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bujiao Wu","raw_affiliation_strings":["Center on Frontiers of Computing Studies, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center on Frontiers of Computing Studies, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100456761","display_name":"Jingbo Wang","orcid":"https://orcid.org/0000-0001-7544-0084"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jingbo Wang","raw_affiliation_strings":["Department of Physics, The University of Western Australia, Perth, WA 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, The University of Western Australia, Perth, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090412627","display_name":"Xiao Yuan","orcid":"https://orcid.org/0000-0003-0205-6545"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Yuan","raw_affiliation_strings":["Center on Frontiers of Computing Studies, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center on Frontiers of Computing Studies, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"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":4.7375,"has_fulltext":true,"cited_by_count":38,"citation_normalized_percentile":{"value":0.95968276,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"7","issue":null,"first_page":"981","last_page":"981"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.998199999332428,"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/T11804","display_name":"Quantum many-body systems","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-machine-learning","display_name":"Quantum machine learning","score":0.6532267332077026},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.641795814037323},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.6211174726486206},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5355510711669922},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.534926176071167},{"id":"https://openalex.org/keywords/quantum-phases","display_name":"Quantum phases","score":0.4787156581878662},{"id":"https://openalex.org/keywords/quantum-sort","display_name":"Quantum sort","score":0.4638993740081787},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.44370824098587036},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3489709496498108},{"id":"https://openalex.org/keywords/quantum-network","display_name":"Quantum network","score":0.34357398748397827},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3396380841732025},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3314265012741089},{"id":"https://openalex.org/keywords/quantum-phase-transition","display_name":"Quantum phase transition","score":0.3022090494632721},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2751782536506653},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.27200040221214294}],"concepts":[{"id":"https://openalex.org/C2779094486","wikidata":"https://www.wikidata.org/wiki/Q18811578","display_name":"Quantum machine learning","level":4,"score":0.6532267332077026},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.641795814037323},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.6211174726486206},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5355510711669922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.534926176071167},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.4787156581878662},{"id":"https://openalex.org/C62641251","wikidata":"https://www.wikidata.org/wiki/Q7269097","display_name":"Quantum sort","level":5,"score":0.4638993740081787},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.44370824098587036},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3489709496498108},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.34357398748397827},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3396380841732025},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3314265012741089},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.3022090494632721},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2751782536506653},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27200040221214294},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2023-04-17-981","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-04-17-981","pdf_url":"https://quantum-journal.org/papers/q-2023-04-17-981/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,"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:pure.atira.dk:publications/54287289-626f-4a6f-bd49-a9acabae3c09","is_oa":true,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/54287289-626f-4a6f-bd49-a9acabae3c09","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wu, Y, Wu, B, Wang, J B & Yuan, X 2023, 'Quantum Phase Recognition via Quantum Kernel Methods', Quantum, vol. 7, pp. 981. https://doi.org/10.22331/q-2023-04-17-981","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:08f325416a7e454d99b6e712c581d622","is_oa":true,"landing_page_url":"https://doaj.org/article/08f325416a7e454d99b6e712c581d622","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,"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 981 (2023)","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:openaire/54287289-626f-4a6f-bd49-a9acabae3c09","is_oa":true,"landing_page_url":"https://www.scopus.com/pages/publications/85162777170","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wu, Y, Wu, B, Wang, J B & Yuan, X 2023, 'Quantum Phase Recognition via Quantum Kernel Methods', Quantum, vol. 7, pp. 981. https://doi.org/10.22331/q-2023-04-17-981","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-04-17-981","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-04-17-981","pdf_url":"https://quantum-journal.org/papers/q-2023-04-17-981/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,"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":[],"awards":[{"id":"https://openalex.org/G3398618016","display_name":null,"funder_award_id":"202006470011","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G4161315296","display_name":null,"funder_award_id":"12175003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8427652545","display_name":null,"funder_award_id":"12147133","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/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320324787","display_name":"Peking University","ror":"https://ror.org/02v51f717"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4366087273.pdf"},"referenced_works_count":92,"referenced_works":["https://openalex.org/W178986290","https://openalex.org/W212428657","https://openalex.org/W569103170","https://openalex.org/W1576765155","https://openalex.org/W2014603110","https://openalex.org/W2016407890","https://openalex.org/W2026444402","https://openalex.org/W2037768897","https://openalex.org/W2056117396","https://openalex.org/W2060837851","https://openalex.org/W2068688651","https://openalex.org/W2072808339","https://openalex.org/W2094888156","https://openalex.org/W2103914106","https://openalex.org/W2113166233","https://openalex.org/W2118547397","https://openalex.org/W2120248756","https://openalex.org/W2149739919","https://openalex.org/W2161685427","https://openalex.org/W2337082154","https://openalex.org/W2418689459","https://openalex.org/W2419175238","https://openalex.org/W2482126025","https://openalex.org/W2526518998","https://openalex.org/W2568833508","https://openalex.org/W2594041373","https://openalex.org/W2606470147","https://openalex.org/W2750458571","https://openalex.org/W2755255888","https://openalex.org/W2762549329","https://openalex.org/W2766447205","https://openalex.org/W2792946961","https://openalex.org/W2794444783","https://openalex.org/W2896712926","https://openalex.org/W2897579646","https://openalex.org/W2919115771","https://openalex.org/W2942327165","https://openalex.org/W2949170718","https://openalex.org/W2972223037","https://openalex.org/W2977049528","https://openalex.org/W2982169647","https://openalex.org/W2988374105","https://openalex.org/W2995057155","https://openalex.org/W3006823398","https://openalex.org/W3007013317","https://openalex.org/W3024243470","https://openalex.org/W3030829226","https://openalex.org/W3090365491","https://openalex.org/W3096052452","https://openalex.org/W3098400458","https://openalex.org/W3100111077","https://openalex.org/W3100594946","https://openalex.org/W3101155683","https://openalex.org/W3101214870","https://openalex.org/W3102828781","https://openalex.org/W3103574423","https://openalex.org/W3103870741","https://openalex.org/W3104396616","https://openalex.org/W3104481216","https://openalex.org/W3107463944","https://openalex.org/W3118800713","https://openalex.org/W3119636101","https://openalex.org/W3129458892","https://openalex.org/W3132743969","https://openalex.org/W3136233239","https://openalex.org/W3147993824","https://openalex.org/W3148001159","https://openalex.org/W3158182757","https://openalex.org/W3166275705","https://openalex.org/W3167925414","https://openalex.org/W3172713805","https://openalex.org/W3173713405","https://openalex.org/W3177828909","https://openalex.org/W3182433019","https://openalex.org/W3182680509","https://openalex.org/W3198579014","https://openalex.org/W3199816848","https://openalex.org/W3206088030","https://openalex.org/W3207479555","https://openalex.org/W3209237089","https://openalex.org/W3213257350","https://openalex.org/W3216228299","https://openalex.org/W4214552167","https://openalex.org/W4220908680","https://openalex.org/W4230561438","https://openalex.org/W4283586296","https://openalex.org/W4285059607","https://openalex.org/W4287123924","https://openalex.org/W4296794220","https://openalex.org/W4300588179","https://openalex.org/W4302010812","https://openalex.org/W4385245566"],"related_works":["https://openalex.org/W3102774173","https://openalex.org/W1989681995","https://openalex.org/W2500387597","https://openalex.org/W4296668438","https://openalex.org/W2506768234","https://openalex.org/W4394636529","https://openalex.org/W2001821737","https://openalex.org/W3046585307","https://openalex.org/W2604697187","https://openalex.org/W3184624667"],"abstract_inverted_index":{"The":[0],"application":[1],"of":[2,12,17,29,38,67,93,114,129],"quantum":[3,20,30,51,85,94,130,136],"computation":[4],"to":[5],"accelerate":[6],"machine":[7,131],"learning":[8,31,77,132],"algorithms":[9,32,78],"is":[10],"one":[11],"the":[13,27,89,127],"most":[14],"promising":[15],"areas":[16],"research":[18],"in":[19,33,48,97,133,139],"algorithms.":[21],"In":[22],"this":[23],"paper,":[24],"we":[25,87],"explore":[26],"power":[28],"solving":[34,98],"an":[35],"important":[36,47],"class":[37],"Quantum":[39],"Phase":[40],"Recognition":[41],"(QPR)":[42],"problems,":[43,115],"which":[44],"are":[45],"crucially":[46],"understanding":[49],"many-particle":[50,140],"systems.":[52,141],"We":[53,106],"prove":[54,88],"that,":[55],"under":[56],"widely":[57],"believed":[58],"complexity":[59],"theory":[60],"assumptions,":[61],"there":[62],"exists":[63],"a":[64,84,112],"wide":[65],"range":[66],"QPR":[68,99],"problems":[69,100],"that":[70],"cannot":[71],"be":[72],"efficiently":[73],"solved":[74],"by":[75],"classical":[76,80],"with":[79],"resources.":[81],"Whereas":[82],"using":[83],"computer,":[86],"efficiency":[90],"and":[91,121],"robustness":[92],"kernel":[95],"methods":[96],"through":[101],"Linear":[102],"order":[103],"parameter":[104],"Observables.":[105],"numerically":[107],"benchmark":[108],"our":[109],"algorithm":[110],"for":[111],"variety":[113],"including":[116],"recognizing":[117],"symmetry-protected":[118],"topological":[119],"phases":[120],"symmetry-broken":[122],"phases.":[123],"Our":[124],"results":[125],"highlight":[126],"capability":[128],"predicting":[134],"such":[135],"phase":[137],"transitions":[138]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":6},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
