{"id":"https://openalex.org/W4401201801","doi":"https://doi.org/10.48550/arxiv.2407.19499","title":"Expectation value estimation with parametrized quantum circuits","display_name":"Expectation value estimation with parametrized quantum circuits","publication_year":2024,"publication_date":"2024-07-28","ids":{"openalex":"https://openalex.org/W4401201801","doi":"https://doi.org/10.48550/arxiv.2407.19499"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2407.19499","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.19499","pdf_url":"https://arxiv.org/pdf/2407.19499","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2407.19499","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034053475","display_name":"Bujiao Wu","orcid":"https://orcid.org/0000-0003-3894-2979","observed_orcids":["https://orcid.org/0000-0003-3894-2979"]},"institutions":[{"id":"https://openalex.org/I4405275017","display_name":"Shenzhen International Quantum Academy","ror":"https://ror.org/02spjd661","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405275017"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu, Bujiao","raw_affiliation_strings":["International Quantum Academy , Shenzhen 518048 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Quantum Academy , Shenzhen 518048 , China","institution_ids":["https://openalex.org/I4405275017"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kong, Lingyu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]},{"id":"https://openalex.org/I4405275017","display_name":"Shenzhen International Quantum Academy","ror":"https://ror.org/02spjd661","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405275017"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kong, Lingyu","raw_affiliation_strings":["International Quantum Academy , Shenzhen 518048 , China","Shenzhen Institute for Quantum Science and Engineering , Southern University of Science and Technology , Shenzhen 518055 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Quantum Academy , Shenzhen 518048 , China","institution_ids":["https://openalex.org/I4405275017"]},{"raw_affiliation_string":"Shenzhen Institute for Quantum Science and Engineering , Southern University of Science and Technology , Shenzhen 518055 , China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101287097","display_name":"Yuxuan Yan","orcid":"https://orcid.org/0009-0004-4789-1645","observed_orcids":["https://orcid.org/0009-0004-4789-1645"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan, Yuxuan","raw_affiliation_strings":["Center for Quantum Information , Institute for Interdisciplinary Information Sciences , Tsinghua University , Beijing 100084 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Information , Institute for Interdisciplinary Information Sciences , Tsinghua University , Beijing 100084 , China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102859810","display_name":"Fuchuan Wei","orcid":"https://orcid.org/0009-0001-5983-542X","observed_orcids":["https://orcid.org/0009-0001-5983-542X"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei, Fuchuan","raw_affiliation_strings":["Department of Mathematics , Tsinghua University , Beijing 100084 , China","Yau Mathematical Sciences Center and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Tsinghua University , Beijing 100084 , China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Yau Mathematical Sciences Center and","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022698283","display_name":"Zhenhuan Liu","orcid":"https://orcid.org/0000-0001-5373-8832","observed_orcids":["https://orcid.org/0000-0001-5373-8832"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu, Zhenhuan","raw_affiliation_strings":["Center for Quantum Information , Institute for Interdisciplinary Information Sciences , Tsinghua University , Beijing 100084 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Information , Institute for Interdisciplinary Information Sciences , Tsinghua University , Beijing 100084 , China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T11804","display_name":"Quantum many-body systems","score":0.00019999999494757503,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.0,"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/expectation-value-estimation","display_name":"expectation value estimation","score":0.9340000152587891},{"id":"https://openalex.org/keywords/variational-quantum-circuits","display_name":"variational quantum circuits","score":0.9340000152587891},{"id":"https://openalex.org/keywords/sample-complexity","display_name":"sample complexity","score":0.8180000185966492},{"id":"https://openalex.org/keywords/shallow-quantum-circuits","display_name":"shallow quantum circuits","score":0.7799999713897705},{"id":"https://openalex.org/keywords/importance-sampling","display_name":"importance sampling","score":0.9929999709129333},{"id":"https://openalex.org/keywords/quantum-machine-learning","display_name":"quantum machine learning","score":0.42899999022483826},{"id":"https://openalex.org/keywords/lower-bounds","display_name":"lower bounds","score":0.5220000147819519}],"concepts":[{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5865200757980347},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5782160758972168},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5062021613121033},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.45483464002609253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40973690152168274},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35110071301460266},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.21490052342414856},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2133062779903412},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2131127119064331},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13278067111968994},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2407.19499","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.19499","pdf_url":"https://arxiv.org/pdf/2407.19499","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":"doi:10.48550/arxiv.2407.19499","doi":"https://doi.org/10.48550/arxiv.2407.19499","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2407.19499","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2407.19499","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.19499","pdf_url":"https://arxiv.org/pdf/2407.19499","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5656998440","display_name":null,"funder_award_id":"12174216","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/F4320325902","display_name":"Beijing Municipal Science and Technology Commission","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401201801.pdf","grobid_xml":"https://content.openalex.org/works/W4401201801.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W2585283512","https://openalex.org/W3165241722","https://openalex.org/W4372272507","https://openalex.org/W4400376231","https://openalex.org/W4404601974","https://openalex.org/W4408515964","https://openalex.org/W4408841721","https://openalex.org/W4411983890","https://openalex.org/W4412611671"],"related_works":["https://openalex.org/W6943925017","https://openalex.org/W4405901463","https://openalex.org/W2944946370","https://openalex.org/W4391462668","https://openalex.org/W4399522253","https://openalex.org/W3160385760","https://openalex.org/W7222985263","https://openalex.org/W7215032255","https://openalex.org/W4390114143","https://openalex.org/W4415502702"],"abstract_inverted_index":{"Estimating":[0],"properties":[1,38],"of":[2,25,60,95,99,123,132,140,147,189,192],"quantum":[3,18,27,67,183,196],"states,":[4],"such":[5],"as":[6],"fidelities,":[7],"molecular":[8],"energies,":[9],"and":[10,33,81,144],"correlation":[11],"functions,":[12],"is":[13],"a":[14,49,64,77,82,92,148,152,176,180],"fundamental":[15,166],"task":[16],"in":[17,195],"information":[19],"science.":[20],"Due":[21],"to":[22,118,158,174],"the":[23,57,88,105,120,124,130,137,165,170,190],"limitation":[24],"practical":[26],"devices,":[28],"including":[29],"limited":[30],"circuit":[31],"depth":[32],"connectivity,":[34],"estimating":[35,56,136],"even":[36],"linear":[37,93],"encounters":[39],"high":[40],"sample":[41,53,171],"complexity.":[42],"To":[43],"address":[44],"this":[45,70,109],"inefficiency,":[46],"we":[47,72,111,163],"propose":[48],"framework":[50],"that":[51,86],"optimizes":[52],"complexity":[54,172],"for":[55,169],"expectation":[58,121,138],"value":[59,122],"any":[61],"observable":[62,90,178],"using":[63,179],"shallow":[65,106,182,193],"parameterized":[66],"circuit.":[68,107],"Within":[69],"framework,":[71],"introduce":[73],"two":[74],"decomposition":[75],"algorithms,":[76],"tensor":[78],"network":[79],"approach":[80,85],"greedy":[83],"projection":[84],"decompose":[87],"target":[89,125,177],"into":[91],"combination":[94],"multiple":[96],"observables,":[97],"each":[98],"which":[100],"can":[101],"be":[102],"diagonalized":[103],"with":[104,151],"Using":[108],"decomposition,":[110],"then":[112],"apply":[113],"an":[114],"importance":[115],"sampling":[116],"algorithm":[117,134],"estimate":[119,175],"observable.":[126],"We":[127],"numerically":[128],"demonstrate":[129],"performance":[131],"our":[133,187],"by":[135],"values":[139],"some":[141,159],"specific":[142],"Hamiltonians":[143],"inner":[145],"product":[146],"Slater":[149],"determinant":[150],"pure":[153],"state,":[154],"highlighting":[155],"advantages":[156],"compared":[157],"conventional":[160],"methods.":[161],"Additionally,":[162],"derive":[164],"lower":[167],"bound":[168],"required":[173],"given":[181],"circuit,":[184],"thereby":[185],"enhancing":[186],"understanding":[188],"capabilities":[191],"circuits":[194],"learning":[197],"tasks.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2024-08-01T00:00:00"}