{"id":"https://openalex.org/W1985671429","doi":"https://doi.org/10.1145/2591796.2591854","title":"Exponential improvement in precision for simulating sparse Hamiltonians","display_name":"Exponential improvement in precision for simulating sparse Hamiltonians","publication_year":2014,"publication_date":"2014-05-31","ids":{"openalex":"https://openalex.org/W1985671429","doi":"https://doi.org/10.1145/2591796.2591854","mag":"1985671429"},"language":"en","primary_location":{"id":"doi:10.1145/2591796.2591854","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2591796.2591854","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-sixth annual ACM symposium on Theory of computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1312.1414","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Dominic W. Berry","orcid":null},"institutions":[{"id":"https://openalex.org/I99043593","display_name":"Macquarie University","ror":"https://ror.org/01sf06y89","country_code":"AU","type":"education","lineage":["https://openalex.org/I99043593"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Dominic W. Berry","raw_affiliation_strings":["Macquarie University"],"affiliations":[{"raw_affiliation_string":"Macquarie University","institution_ids":["https://openalex.org/I99043593"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Andrew M. Childs","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Andrew M. Childs","raw_affiliation_strings":["University of Waterloo"],"affiliations":[{"raw_affiliation_string":"University of Waterloo","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Richard Cleve","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Richard Cleve","raw_affiliation_strings":["University of Waterloo"],"affiliations":[{"raw_affiliation_string":"University of Waterloo","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Robin Kothari","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Robin Kothari","raw_affiliation_strings":["University of Waterloo"],"affiliations":[{"raw_affiliation_string":"University of Waterloo","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":null,"display_name":"Rolando D. Somma","orcid":null},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rolando D. Somma","raw_affiliation_strings":["Los Alamos National Laboratory"],"affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99043593"],"apc_list":null,"apc_paid":null,"fwci":10.6086,"has_fulltext":false,"cited_by_count":209,"citation_normalized_percentile":{"value":0.9826976,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"283","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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":1.0,"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":0.9904000163078308,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6251000165939331},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.5910999774932861},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5799000263214111},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.567799985408783},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5149999856948853},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.43810001015663147},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.43689998984336853},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.414900004863739},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.397599995136261}],"concepts":[{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6251000165939331},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.5910999774932861},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5799000263214111},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.567799985408783},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5149999856948853},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49709999561309814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46970000863075256},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43810001015663147},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.43689998984336853},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.414900004863739},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.397599995136261},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3865000009536743},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.385699987411499},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3774999976158142},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34700000286102295},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.33469998836517334},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.3206999897956848},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.3176000118255615},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.31040000915527344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30570000410079956},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.2874999940395355},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.2757999897003174},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.26969999074935913},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2590999901294708},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2540999948978424},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.2531999945640564}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2591796.2591854","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2591796.2591854","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-sixth annual ACM symposium on Theory of computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1312.1414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1312.1414","pdf_url":"https://arxiv.org/pdf/1312.1414","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1312.1414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1312.1414","pdf_url":"https://arxiv.org/pdf/1312.1414","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W22923443","https://openalex.org/W1492999010","https://openalex.org/W1964032471","https://openalex.org/W1980669364","https://openalex.org/W1985671429","https://openalex.org/W1987962147","https://openalex.org/W2009948449","https://openalex.org/W2015711858","https://openalex.org/W2031374990","https://openalex.org/W2040792108","https://openalex.org/W2041506125","https://openalex.org/W2053987271","https://openalex.org/W2053993705","https://openalex.org/W2064906820","https://openalex.org/W2079692740","https://openalex.org/W2081161648","https://openalex.org/W2084565809","https://openalex.org/W2098948451","https://openalex.org/W2099170023","https://openalex.org/W2100827027","https://openalex.org/W2120560473","https://openalex.org/W2122780600","https://openalex.org/W2169523978","https://openalex.org/W2179731956","https://openalex.org/W2953096107","https://openalex.org/W3038086750","https://openalex.org/W3048547979","https://openalex.org/W4254506466"],"related_works":[],"abstract_inverted_index":{"We":[0,132],"provide":[1],"a":[2,29,99,145,154,188],"quantum":[3,111],"algorithm":[4,95],"for":[5,39,77,128,144],"simulating":[6],"the":[7,16,64,70,80,86,89,92,104,115,124,136,142,167,170,191],"dynamics":[8],"of":[9,69,72,88,91,103,138,157,190],"sparse":[10],"Hamiltonians":[11],"with":[12,42],"complexity":[13,66,82],"sublogarithmic":[14],"in":[15,85],"inverse":[17],"error,":[18],"an":[19],"exponential":[20],"improvement":[21],"over":[22],"previous":[23,58],"methods.":[24],"Specifically,":[25],"we":[26,176],"show":[27],"that":[28,114,161,182],"d-sparse":[30],"Hamiltonian":[31],"H":[32],"on":[33,61,98,153],"n":[34],"qubits":[35,73],"can":[36,162],"be":[37,163],"simulated":[38],"time":[40],"t":[41],"precision":[43],"\u03b5":[44],"using":[45,109],"O(\u03c4log(\u03c4/\u03b5)/log":[46],"log(\u03c4/\u03b5))":[47,51],"queries":[48],"and":[49,76,106],"O(\u03c4nlog2(\u03c4/\u03b5)/log":[50],"additional":[52],"2-qubit":[53],"gates,":[54],"where":[55],"\u03c4=d2||H||maxt.":[56],"Unlike":[57],"approaches":[59],"based":[60,97],"product":[62],"formulas,":[63],"query":[65],"is":[67,83,96,173],"independent":[68],"number":[71],"acted":[74],"on,":[75],"time-varying":[78],"Hamiltonians,":[79],"gate":[81],"logarithmic":[84],"norm":[87],"derivative":[90],"Hamiltonian.":[93],"Our":[94,150],"significantly":[100,134],"improved":[101],"simulation":[102],"continuous-":[105],"fractional-query":[107],"models":[108,117],"discrete":[110,125],"queries,":[112],"showing":[113,181],"former":[116],"are":[118,185],"not":[119],"much":[120],"more":[121],"powerful":[122],"than":[123],"model":[126],"even":[127,165],"very":[129],"small":[130],"error.":[131,192],"also":[133],"simplify":[135],"analysis":[137],"this":[139],"conversion,":[140],"avoiding":[141],"need":[143],"complex":[146],"fault":[147],"correction":[148],"procedure.":[149],"simplification":[151],"relies":[152],"new":[155,178],"form":[156],"\"oblivious":[158],"amplitude":[159],"amplification\"":[160],"applied":[164],"though":[166],"reflection":[168],"about":[169],"input":[171],"state":[172],"unavailable.":[174],"Finally,":[175],"prove":[177],"lower":[179],"bounds":[180],"our":[183],"algorithms":[184],"optimal":[186],"as":[187],"function":[189]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":35},{"year":2024,"cited_by_count":32},{"year":2023,"cited_by_count":44},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-30T08:08:38.191290","created_date":"2016-06-24T00:00:00"}
