{"id":"https://openalex.org/W3109961245","doi":"https://doi.org/10.1145/3428218","title":"Projection-based runtime assertions for testing and debugging Quantum programs","display_name":"Projection-based runtime assertions for testing and debugging Quantum programs","publication_year":2020,"publication_date":"2020-11-13","ids":{"openalex":"https://openalex.org/W3109961245","doi":"https://doi.org/10.1145/3428218","mag":"3109961245"},"language":"en","primary_location":{"id":"doi:10.1145/3428218","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3428218","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3428218","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3428218","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009768065","display_name":"Gushu Li","orcid":"https://orcid.org/0000-0002-6233-0334"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gushu Li","raw_affiliation_strings":["University of California at Santa Barbara, USA"],"raw_orcid":"https://orcid.org/0000-0002-6233-0334","affiliations":[{"raw_affiliation_string":"University of California at Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051561743","display_name":"Li Zhou","orcid":"https://orcid.org/0000-0002-9868-8477"},"institutions":[{"id":"https://openalex.org/I4210096592","display_name":"Max Planck Institute for Security and Privacy","ror":"https://ror.org/00bj0r217","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210096592"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Li Zhou","raw_affiliation_strings":["MPI-SP, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPI-SP, Germany","institution_ids":["https://openalex.org/I4210096592"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088217238","display_name":"Nengkun Yu","orcid":"https://orcid.org/0000-0003-1188-3032"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Nengkun Yu","raw_affiliation_strings":["University of Technology Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Technology Sydney, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048052285","display_name":"Yufei Ding","orcid":"https://orcid.org/0000-0002-8716-5793"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yufei Ding","raw_affiliation_strings":["University of California at Santa Barbara, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023088481","display_name":"Mingsheng Ying","orcid":"https://orcid.org/0000-0003-4847-702X"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"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":["AU","CN"],"is_corresponding":false,"raw_author_name":"Mingsheng Ying","raw_affiliation_strings":["University of Technology Sydney, Australia / Institute of Software at Chinese Academy of Sciences, China / Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Technology Sydney, Australia / Institute of Software at Chinese Academy of Sciences, China / Tsinghua University, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I99065089","https://openalex.org/I114017466","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100385336","display_name":"Yuan Xie","orcid":"https://orcid.org/0000-0003-2093-1788"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuan Xie","raw_affiliation_strings":["University of California at Santa Barbara, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.9892,"has_fulltext":true,"cited_by_count":112,"citation_normalized_percentile":{"value":0.97998365,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"4","issue":"OOPSLA","first_page":"1","last_page":"29"},"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":0.9970999956130981,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/debugging","display_name":"Debugging","score":0.6831751465797424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6309701204299927},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.5954002141952515},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.5342478156089783},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.5120830535888672},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5095808506011963},{"id":"https://openalex.org/keywords/assertion","display_name":"Assertion","score":0.502474308013916},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.49219265580177307},{"id":"https://openalex.org/keywords/executable","display_name":"Executable","score":0.46622446179389954},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.4623696804046631},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.44449272751808167},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42781057953834534},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4192921817302704},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41751453280448914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2906816899776459},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2847214639186859},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13911491632461548},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11982804536819458}],"concepts":[{"id":"https://openalex.org/C168065819","wikidata":"https://www.wikidata.org/wiki/Q845566","display_name":"Debugging","level":2,"score":0.6831751465797424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6309701204299927},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.5954002141952515},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5342478156089783},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5120830535888672},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5095808506011963},{"id":"https://openalex.org/C40422974","wikidata":"https://www.wikidata.org/wiki/Q741248","display_name":"Assertion","level":2,"score":0.502474308013916},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49219265580177307},{"id":"https://openalex.org/C160145156","wikidata":"https://www.wikidata.org/wiki/Q778586","display_name":"Executable","level":2,"score":0.46622446179389954},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4623696804046631},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.44449272751808167},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42781057953834534},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4192921817302704},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41751453280448914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2906816899776459},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2847214639186859},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13911491632461548},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11982804536819458},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3428218","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3428218","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3428218","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/147117","is_oa":true,"landing_page_url":"http://hdl.handle.net/10453/147117","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-132954","is_oa":false,"landing_page_url":"http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=2475-1421&rft.volume=4&rft.issue=OOPSLA&rft.date=2020&rft.spage=&rft.aulast=Li&rft.aufirst=Gushu&rft.atitle=Projection-based+runtime+assertions+for+testing+and+debugging+Quantum+programs&rft.title=Proceedings+of+the+ACM+on+Programming+Languages","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"}],"best_oa_location":{"id":"doi:10.1145/3428218","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3428218","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3428218","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1003572525","display_name":null,"funder_award_id":"1730309","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1915554876","display_name":null,"funder_award_id":"DP160101652","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G6979490891","display_name":null,"funder_award_id":"DE180100156","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G7698593201","display_name":null,"funder_award_id":"61832015","funder_id":"https://openalex.org/F4320327720","funder_display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China"},{"id":"https://openalex.org/G8233609758","display_name":null,"funder_award_id":"2018YFA0306701","funder_id":"https://openalex.org/F4320336026","funder_display_name":"National Key Research and Development Program of China Stem Cell and Translational Research"},{"id":"https://openalex.org/G8288014501","display_name":null,"funder_award_id":"DE180100156, DP160101652, DP180100691","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8331665637","display_name":null,"funder_award_id":"DP180100691","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8332624565","display_name":"\u91cf\u5b50\u7a0b\u5e8f\u8bbe\u8ba1\u7684\u7406\u8bba\u57fa\u7840","funder_award_id":"61832015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320318428","display_name":"Max Planck Institute for Software Systems","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327720","display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China","ror":null},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320336026","display_name":"National Key Research and Development Program of China Stem Cell and Translational Research","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3109961245.pdf","grobid_xml":"https://content.openalex.org/works/W3109961245.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W294073838","https://openalex.org/W1492999010","https://openalex.org/W1966147961","https://openalex.org/W1970305599","https://openalex.org/W1988369744","https://openalex.org/W2005208156","https://openalex.org/W2029010113","https://openalex.org/W2044357043","https://openalex.org/W2049471987","https://openalex.org/W2080282663","https://openalex.org/W2084652510","https://openalex.org/W2114473497","https://openalex.org/W2126098510","https://openalex.org/W2137147061","https://openalex.org/W2159226773","https://openalex.org/W2160347025","https://openalex.org/W2161685427","https://openalex.org/W2336782306","https://openalex.org/W2338028966","https://openalex.org/W2341960610","https://openalex.org/W2482129511","https://openalex.org/W2563269605","https://openalex.org/W2787461609","https://openalex.org/W2901272170","https://openalex.org/W2950018366","https://openalex.org/W2955434816","https://openalex.org/W3012166999","https://openalex.org/W3102775972","https://openalex.org/W3105529703","https://openalex.org/W3126077699","https://openalex.org/W3126996113","https://openalex.org/W4249911606"],"related_works":["https://openalex.org/W1498103021","https://openalex.org/W1511249877","https://openalex.org/W1578828174","https://openalex.org/W3118014295","https://openalex.org/W3157698208","https://openalex.org/W4287825142","https://openalex.org/W2138262447","https://openalex.org/W4387560890","https://openalex.org/W4225337998","https://openalex.org/W4308949227"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,73,99,112],"propose":[4,135],"Proq,":[5],"a":[6,17,44,47,55,63],"runtime":[7],"assertion":[8,139],"scheme":[9],"for":[10,101],"testing":[11],"and":[12,104,116,156,160,176],"debugging":[13],"quantum":[14,18,39,48,106,131,153,171],"programs":[15],"on":[16,128],"computer.":[19],"The":[20,41],"predicates":[21],"in":[22],"Proq":[23,150,163],"are":[24],"represented":[25],"by":[26,46,164],"projections":[27],"(or":[28],"equivalently,":[29],"closed":[30],"subspaces":[31],"of":[32,43,58,66,91,162],"the":[33,70,88,92,109,122,129,158,173],"state":[34,49],"space),":[35],"following":[36],"Birkhoff-von":[37],"Neumann":[38],"logic.":[40],"satisfaction":[42],"projection":[45,143],"can":[50,80],"be":[51],"directly":[52,126],"checked":[53],"upon":[54],"small":[56],"number":[57,65],"projective":[59],"measurements":[60],"rather":[61],"than":[62],"large":[64],"repeated":[67],"executions.":[68],"On":[69,108],"theory":[71],"side,":[72,111],"rigorously":[74],"prove":[75],"that":[76,87],"checking":[77],"projection-based":[78],"assertions":[79,155],"help":[81],"locate":[82],"bugs":[83],"or":[84],"statistically":[85],"assure":[86],"semantic":[89],"function":[90],"tested":[93],"program":[94,154],"is":[95],"close":[96],"to":[97,120,136,167],"what":[98],"expect,":[100],"both":[102],"exact":[103],"approximate":[105],"programs.":[107],"practice":[110],"consider":[113],"hardware":[114],"constraints":[115],"introduce":[117],"several":[118],"techniques":[119],"transform":[121],"assertions,":[123],"making":[124],"them":[125],"executable":[127],"measurement-restricted":[130],"computers.":[132],"We":[133,148],"also":[134],"achieve":[137],"simplified":[138],"implementation":[140],"using":[141],"local":[142],"technique":[144],"with":[145,151],"soundness":[146],"guaranteed.":[147],"compare":[149],"existing":[152],"demonstrate":[157],"effectiveness":[159],"efficiency":[161],"its":[165],"applications":[166],"assert":[168],"two":[169],"sophisticated":[170],"algorithms,":[172],"Harrow-Hassidim-Lloyd":[174],"algorithm":[175],"Shor\u2019s":[177],"algorithm.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":27},{"year":2023,"cited_by_count":21},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
