{"id":"https://openalex.org/W4283319588","doi":"https://doi.org/10.1137/21m1439833","title":"Differential Equation Based Path Integral for Open Quantum Systems","display_name":"Differential Equation Based Path Integral for Open Quantum Systems","publication_year":2022,"publication_date":"2022-06-01","ids":{"openalex":"https://openalex.org/W4283319588","doi":"https://doi.org/10.1137/21m1439833"},"language":"en","primary_location":{"id":"doi:10.1137/21m1439833","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1439833","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009265835","display_name":"Geshuo Wang","orcid":"https://orcid.org/0000-0001-7890-2758"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Geshuo Wang","raw_affiliation_strings":["(Zhenning Cai) Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076","( Geshuo Wang) Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(Zhenning Cai) Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"( Geshuo Wang) Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025938442","display_name":"Zhenning Cai","orcid":"https://orcid.org/0000-0002-7086-7983"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Zhenning Cai","raw_affiliation_strings":["( Geshuo Wang) Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076","(Zhenning Cai) Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076"],"raw_orcid":"https://orcid.org/0000-0002-7086-7983","affiliations":[{"raw_affiliation_string":"( Geshuo Wang) Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"(Zhenning Cai) Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009265835"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":0.9711,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7936407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"44","issue":"3","first_page":"B771","last_page":"B804"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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/T10020","display_name":"Quantum Information and Cryptography","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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9994999766349792,"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/mathematics","display_name":"Mathematics","score":0.6278603076934814},{"id":"https://openalex.org/keywords/path-integral-formulation","display_name":"Path integral formulation","score":0.543080747127533},{"id":"https://openalex.org/keywords/propagator","display_name":"Propagator","score":0.5164897441864014},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4932200312614441},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.49243244528770447},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.48908835649490356},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4501691162586212},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4496798515319824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41739392280578613},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36059677600860596},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.31006813049316406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22862404584884644},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09984603524208069}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6278603076934814},{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.543080747127533},{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.5164897441864014},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4932200312614441},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.49243244528770447},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.48908835649490356},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4501691162586212},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4496798515319824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41739392280578613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36059677600860596},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.31006813049316406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22862404584884644},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09984603524208069},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1439833","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1439833","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6603502328","display_name":null,"funder_award_id":"R-146-000-291-114","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W1968844423","https://openalex.org/W1971551821","https://openalex.org/W1974982662","https://openalex.org/W1983016196","https://openalex.org/W1984635303","https://openalex.org/W1988719923","https://openalex.org/W1991311694","https://openalex.org/W1992662089","https://openalex.org/W1997344088","https://openalex.org/W1999592269","https://openalex.org/W2003056392","https://openalex.org/W2004968948","https://openalex.org/W2015683881","https://openalex.org/W2018288502","https://openalex.org/W2023016364","https://openalex.org/W2026962327","https://openalex.org/W2032839191","https://openalex.org/W2049902209","https://openalex.org/W2051566497","https://openalex.org/W2057610142","https://openalex.org/W2060901068","https://openalex.org/W2061437988","https://openalex.org/W2061579329","https://openalex.org/W2061855820","https://openalex.org/W2067619937","https://openalex.org/W2068539538","https://openalex.org/W2076976740","https://openalex.org/W2079824144","https://openalex.org/W2081337977","https://openalex.org/W2083590256","https://openalex.org/W2101080237","https://openalex.org/W2110023503","https://openalex.org/W2126916397","https://openalex.org/W2130860507","https://openalex.org/W2134164536","https://openalex.org/W2208995757","https://openalex.org/W2296169032","https://openalex.org/W2537235787","https://openalex.org/W2544611407","https://openalex.org/W2544878723","https://openalex.org/W2553447428","https://openalex.org/W2753771064","https://openalex.org/W2764347725","https://openalex.org/W2776502559","https://openalex.org/W2994718627","https://openalex.org/W3010267832","https://openalex.org/W3012015049","https://openalex.org/W3034911309","https://openalex.org/W3100915972","https://openalex.org/W3104728182","https://openalex.org/W3133701182","https://openalex.org/W3164376825","https://openalex.org/W3216156170","https://openalex.org/W4212834654","https://openalex.org/W4232954520","https://openalex.org/W4294973694","https://openalex.org/W4309759715"],"related_works":["https://openalex.org/W2025751136","https://openalex.org/W2001104208","https://openalex.org/W2077440392","https://openalex.org/W1996522040","https://openalex.org/W1470645554","https://openalex.org/W2163799349","https://openalex.org/W3156346325","https://openalex.org/W1980588274","https://openalex.org/W1979712172","https://openalex.org/W1979040489"],"abstract_inverted_index":{"We":[0],"propose":[1],"the":[2,11,31,39,47,93,98],"differential":[3,25,74],"equation":[4],"based":[5,29],"path":[6,43],"integral":[7,44],"method":[8,37,100],"to":[9,58],"simulate":[10],"real-time":[12],"evolution":[13],"of":[14,23,33,62],"open":[15],"quantum":[16],"systems.":[17,64],"In":[18],"this":[19],"method,":[20],"a":[21,34,55,60],"system":[22,49],"partial":[24],"equations":[26],"is":[27,77],"derived":[28,70],"on":[30],"continuation":[32],"classical":[35],"numerical":[36,66,91],"called":[38],"iterative":[40],"quasi-adiabatic":[41],"propagator":[42],"(i-QuAPI).":[45],"While":[46],"resulting":[48],"has":[50],"infinite":[51],"equations,":[52],"we":[53],"introduce":[54],"reasonable":[56],"closure":[57],"obtain":[59],"series":[61],"finite":[63],"New":[65],"schemes":[67],"can":[68,101],"be":[69,102],"by":[71,84],"discretizing":[72],"these":[73],"equations.":[75],"It":[76],"numerically":[78],"verified":[79],"that":[80],"in":[81,97],"certain":[82],"cases,":[83],"selecting":[85],"appropriate":[86],"systems":[87],"and":[88],"applying":[89],"suitable":[90],"schemes,":[92],"memory":[94],"cost":[95],"required":[96],"i-QuAPI":[99],"significantly":[103],"reduced.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-06-24T00:00:00"}