{"id":"https://openalex.org/W4405499747","doi":"https://doi.org/10.22331/q-2024-12-17-1567","title":"Quantum simulation of time-dependent Hamiltonians via commutator-free quasi-Magnus operators","display_name":"Quantum simulation of time-dependent Hamiltonians via commutator-free quasi-Magnus operators","publication_year":2024,"publication_date":"2024-12-17","ids":{"openalex":"https://openalex.org/W4405499747","doi":"https://doi.org/10.22331/q-2024-12-17-1567"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-12-17-1567","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-12-17-1567","pdf_url":"https://quantum-journal.org/papers/q-2024-12-17-1567/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-2024-12-17-1567/pdf/","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020521767","display_name":"Pablo A. M. Casares","orcid":"https://orcid.org/0000-0001-5500-9115"},"institutions":[{"id":"https://openalex.org/I4210150097","display_name":"Xanadu Quantum Technologies (Canada)","ror":"https://ror.org/05qj0n416","country_code":"CA","type":"company","lineage":["https://openalex.org/I4210150097"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Pablo Antonio Moreno Casares","raw_affiliation_strings":["Xanadu, Toronto, ON, M5G 2C8, Canada"],"raw_orcid":"https://orcid.org/0000-0001-5500-9115","affiliations":[{"raw_affiliation_string":"Xanadu, Toronto, ON, M5G 2C8, Canada","institution_ids":["https://openalex.org/I4210150097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017190823","display_name":"Modjtaba Shokrian Zini","orcid":null},"institutions":[{"id":"https://openalex.org/I4210150097","display_name":"Xanadu Quantum Technologies (Canada)","ror":"https://ror.org/05qj0n416","country_code":"CA","type":"company","lineage":["https://openalex.org/I4210150097"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Modjtaba Shokrian Zini","raw_affiliation_strings":["Xanadu, Toronto, ON, M5G 2C8, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Xanadu, Toronto, ON, M5G 2C8, Canada","institution_ids":["https://openalex.org/I4210150097"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054379781","display_name":"Juan Miguel Arrazola","orcid":"https://orcid.org/0000-0002-0619-9650"},"institutions":[{"id":"https://openalex.org/I4210150097","display_name":"Xanadu Quantum Technologies (Canada)","ror":"https://ror.org/05qj0n416","country_code":"CA","type":"company","lineage":["https://openalex.org/I4210150097"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Juan Miguel Arrazola","raw_affiliation_strings":["Xanadu, Toronto, ON, M5G 2C8, Canada"],"raw_orcid":"https://orcid.org/0000-0002-0619-9650","affiliations":[{"raw_affiliation_string":"Xanadu, Toronto, ON, M5G 2C8, Canada","institution_ids":["https://openalex.org/I4210150097"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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":0.9164,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80516327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"1567","last_page":"1567"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9994999766349792,"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":0.9991999864578247,"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/commutator","display_name":"Commutator","score":0.9057552814483643},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4356517791748047},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.41140180826187134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4060097932815552},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3948383629322052},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3365050256252289},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3184189200401306},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.24801960587501526}],"concepts":[{"id":"https://openalex.org/C145620117","wikidata":"https://www.wikidata.org/wiki/Q2989763","display_name":"Commutator","level":4,"score":0.9057552814483643},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4356517791748047},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41140180826187134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4060097932815552},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3948383629322052},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3365050256252289},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3184189200401306},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.24801960587501526},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2024-12-17-1567","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-12-17-1567","pdf_url":"https://quantum-journal.org/papers/q-2024-12-17-1567/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:doaj.org/article:8b133c36f7af4b48b5a5020e1565d446","is_oa":false,"landing_page_url":"https://doaj.org/article/8b133c36f7af4b48b5a5020e1565d446","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1567 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2024-12-17-1567","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-12-17-1567","pdf_url":"https://quantum-journal.org/papers/q-2024-12-17-1567/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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405499747.pdf","grobid_xml":"https://content.openalex.org/works/W4405499747.grobid-xml"},"referenced_works_count":94,"referenced_works":["https://openalex.org/W1608348832","https://openalex.org/W1624156688","https://openalex.org/W1969777879","https://openalex.org/W1973055673","https://openalex.org/W1973942282","https://openalex.org/W1981041413","https://openalex.org/W1985671429","https://openalex.org/W1995436325","https://openalex.org/W2009514029","https://openalex.org/W2012986376","https://openalex.org/W2015711858","https://openalex.org/W2020615058","https://openalex.org/W2023232348","https://openalex.org/W2039758364","https://openalex.org/W2039763880","https://openalex.org/W2041305663","https://openalex.org/W2044369011","https://openalex.org/W2053987271","https://openalex.org/W2057979115","https://openalex.org/W2062864779","https://openalex.org/W2071874678","https://openalex.org/W2097174474","https://openalex.org/W2097568771","https://openalex.org/W2115249840","https://openalex.org/W2122658998","https://openalex.org/W2127358094","https://openalex.org/W2128232295","https://openalex.org/W2141320665","https://openalex.org/W2158710255","https://openalex.org/W2163537077","https://openalex.org/W2500884611","https://openalex.org/W2528986567","https://openalex.org/W2571907426","https://openalex.org/W2580685138","https://openalex.org/W2600825956","https://openalex.org/W2618431612","https://openalex.org/W2725469883","https://openalex.org/W2737425023","https://openalex.org/W2746315756","https://openalex.org/W2757428377","https://openalex.org/W2775106578","https://openalex.org/W2783316621","https://openalex.org/W2797109561","https://openalex.org/W2799222224","https://openalex.org/W2801663601","https://openalex.org/W2803998325","https://openalex.org/W2809120445","https://openalex.org/W2885611730","https://openalex.org/W2889257019","https://openalex.org/W2890217530","https://openalex.org/W2901677314","https://openalex.org/W2908019568","https://openalex.org/W2908285344","https://openalex.org/W2951814536","https://openalex.org/W2963854584","https://openalex.org/W2964341273","https://openalex.org/W2986557571","https://openalex.org/W2987567353","https://openalex.org/W2995050112","https://openalex.org/W3010987553","https://openalex.org/W3034064662","https://openalex.org/W3058369211","https://openalex.org/W3098107311","https://openalex.org/W3100019482","https://openalex.org/W3102286787","https://openalex.org/W3102764375","https://openalex.org/W3105081351","https://openalex.org/W3105798535","https://openalex.org/W3106038926","https://openalex.org/W3115615095","https://openalex.org/W3116683544","https://openalex.org/W3137800600","https://openalex.org/W3145689608","https://openalex.org/W3148724806","https://openalex.org/W3164090400","https://openalex.org/W3213044520","https://openalex.org/W3214411812","https://openalex.org/W3215614078","https://openalex.org/W4224096378","https://openalex.org/W4288278870","https://openalex.org/W4297662785","https://openalex.org/W4361213872","https://openalex.org/W4388411670","https://openalex.org/W4389421914","https://openalex.org/W4389760851","https://openalex.org/W4389767811","https://openalex.org/W4392828323","https://openalex.org/W4394007041","https://openalex.org/W4398230505","https://openalex.org/W4400231100","https://openalex.org/W4400714997","https://openalex.org/W4402476880","https://openalex.org/W4403943995","https://openalex.org/W6948129444"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4302027589","https://openalex.org/W2728978206","https://openalex.org/W2365603414","https://openalex.org/W2384741117","https://openalex.org/W2092765597","https://openalex.org/W2047193768","https://openalex.org/W2389322469","https://openalex.org/W2363091969","https://openalex.org/W2351380632"],"abstract_inverted_index":{"Hamiltonian":[0,20,79],"simulation":[1,21,80],"is":[2,14],"arguably":[3],"the":[4,29,55,84,101,109],"most":[5,110],"fundamental":[6],"application":[7],"of":[8,31,33,46,57,60,86,120],"quantum":[9,42,78,140],"computers.":[10,141],"The":[11,44],"Magnus":[12],"operator":[13],"a":[15,58,123],"popular":[16],"method":[17],"for":[18,41,75],"time-dependent":[19,77,135],"in":[22,90],"computational":[23],"mathematics,":[24],"yet":[25],"its":[26,98],"usage":[27],"requires":[28],"implementation":[30],"exponentials":[32],"commutators,":[34],"which":[35],"has":[36],"previously":[37],"made":[38],"it":[39],"unappealing":[40],"computing.":[43],"development":[45],"commutator-free":[47],"quasi-Magnus":[48],"operators":[49],"(CFQMs)":[50],"circumvents":[51],"this":[52,67],"obstacle,":[53],"at":[54],"expense":[56],"lack":[59],"provable":[61],"global":[62],"numeric":[63],"error":[64,73,85],"bounds.":[65],"In":[66],"work,":[68],"we":[69,125],"establish":[70],"one":[71],"such":[72],"bound":[74],"CFQM-based":[76],"by":[81,115],"carefully":[82],"estimating":[83],"each":[87],"step":[88],"involved":[89],"their":[91],"definition.":[92],"This":[93],"allows":[94],"us":[95],"to":[96,133],"compare":[97],"cost":[99],"with":[100],"alternatives,":[102],"and":[103],"show":[104],"that":[105,127],"CFQMs":[106,128],"are":[107],"often":[108],"efficient":[111],"product-formula":[112],"technique":[113],"available":[114],"more":[116],"than":[117],"an":[118],"order":[119],"magnitude.":[121],"As":[122],"result,":[124],"find":[126],"may":[129],"be":[130],"particularly":[131],"useful":[132],"simulate":[134],"Hamiltonians":[136],"on":[137],"early":[138],"fault-tolerant":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
