{"id":"https://openalex.org/W1966401204","doi":"https://doi.org/10.1137/080724101","title":"On the Impossibility of a Quantum Sieve Algorithm for Graph Isomorphism","display_name":"On the Impossibility of a Quantum Sieve Algorithm for Graph Isomorphism","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1966401204","doi":"https://doi.org/10.1137/080724101","mag":"1966401204"},"language":"en","primary_location":{"id":"doi:10.1137/080724101","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080724101","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 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/A5008033989","display_name":"Cristopher Moore","orcid":"https://orcid.org/0000-0002-2062-1942"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Cristopher Moore","raw_affiliation_strings":["moore@cs.unm.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"moore@cs.unm.edu#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088846595","display_name":"Alexander Russell","orcid":"https://orcid.org/0000-0002-8228-6238"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexander Russell","raw_affiliation_strings":["acr@cse.uconn.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"acr@cse.uconn.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052596495","display_name":"Piotr \u015aniady","orcid":"https://orcid.org/0000-0002-1356-4820"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Piotr \u015aniady","raw_affiliation_strings":["piotr.sniady@math.uni.wroc.pl#TAB#"],"affiliations":[{"raw_affiliation_string":"piotr.sniady@math.uni.wroc.pl#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008033989"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8619,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86890632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"6","first_page":"2377","last_page":"2396"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9957000017166138,"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"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9952999949455261,"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/graph-isomorphism","display_name":"Graph isomorphism","score":0.7834345102310181},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.6960557699203491},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.6497763395309448},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6271072626113892},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5831442475318909},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.5531328916549683},{"id":"https://openalex.org/keywords/wreath-product","display_name":"Wreath product","score":0.48581862449645996},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4528456926345825},{"id":"https://openalex.org/keywords/graph-property","display_name":"Graph property","score":0.42516839504241943},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4101816713809967},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.37467318773269653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35481613874435425},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3254857659339905},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.21961835026741028},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.17665159702301025},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.09804937243461609},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08575612306594849}],"concepts":[{"id":"https://openalex.org/C61665672","wikidata":"https://www.wikidata.org/wiki/Q303100","display_name":"Graph isomorphism","level":4,"score":0.7834345102310181},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.6960557699203491},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.6497763395309448},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6271072626113892},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5831442475318909},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.5531328916549683},{"id":"https://openalex.org/C95635736","wikidata":"https://www.wikidata.org/wiki/Q1786640","display_name":"Wreath product","level":3,"score":0.48581862449645996},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4528456926345825},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.42516839504241943},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4101816713809967},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.37467318773269653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35481613874435425},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3254857659339905},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.21961835026741028},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.17665159702301025},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.09804937243461609},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08575612306594849},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/080724101","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080724101","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.252.7481","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.7481","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/quant-ph/0612089v2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.252.9721","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.9721","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/quant-ph/0612089v1.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:1005010","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/1005010","pdf_url":null,"source":{"id":"https://openalex.org/S2765065519","display_name":"CERN Bulletin","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4327876864","host_organization_name":"CERN Publications","host_organization_lineage":["https://openalex.org/P4327876864"],"host_organization_lineage_names":["CERN Publications"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:cds.cern.ch:984584","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/984584","pdf_url":null,"source":{"id":"https://openalex.org/S2765065519","display_name":"CERN Bulletin","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4327876864","host_organization_name":"CERN Publications","host_organization_lineage":["https://openalex.org/P4327876864"],"host_organization_lineage_names":["CERN Publications"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1622226518","https://openalex.org/W1969051672","https://openalex.org/W1973322735","https://openalex.org/W1977346786","https://openalex.org/W1979308021","https://openalex.org/W2009106180","https://openalex.org/W2035742807","https://openalex.org/W2040938513","https://openalex.org/W2054912210","https://openalex.org/W2055201875","https://openalex.org/W2057065544","https://openalex.org/W2059004945","https://openalex.org/W2060509762","https://openalex.org/W2061622328","https://openalex.org/W2066153786","https://openalex.org/W2069719109","https://openalex.org/W2093786499","https://openalex.org/W2097358487","https://openalex.org/W2101451020","https://openalex.org/W2111457879","https://openalex.org/W2117584890","https://openalex.org/W2137005141","https://openalex.org/W2140496956","https://openalex.org/W2168676717","https://openalex.org/W2171389569","https://openalex.org/W2780935430","https://openalex.org/W2950451768","https://openalex.org/W2962824714","https://openalex.org/W3023478445"],"related_works":["https://openalex.org/W2950354078","https://openalex.org/W2164850427","https://openalex.org/W2056376861","https://openalex.org/W1622226518","https://openalex.org/W283482271","https://openalex.org/W1226817403","https://openalex.org/W2953274551","https://openalex.org/W4317940434","https://openalex.org/W3200877167","https://openalex.org/W2970482593"],"abstract_inverted_index":{"It":[0],"is":[1,47,101],"known":[2,35,195],"that":[3,10,110,153],"any":[4],"quantum":[5,59,118,179],"algorithm":[6,49,119,155],"for":[7,37,50,95,120],"graph":[8,121,130,161],"isomorphism":[9,131,162],"works":[11,84],"within":[12],"the":[13,16,33,51,54,68,98,126,133,136,146,193],"framework":[14],"of":[15,32,70,129,149,184],"hidden":[17,99],"subgroup":[18,100],"problem":[19],"(HSP)":[20],"must":[21],"perform":[22],"highly":[23],"entangled":[24],"measurements":[25],"across":[26],"$\\Omega(n\\log":[27],"n)$":[28],"coset":[29,81],"states.":[30,180],"One":[31],"only":[34],"models":[36],"how":[38],"such":[39,112],"a":[40,116,141],"measurement":[41],"could":[42],"be":[43],"carried":[44],"out":[45],"efficiently":[46],"Kuperberg's":[48],"HSP":[52,134],"in":[53,57,156,163,200],"dihedral":[55],"group,":[56],"which":[58,198],"states":[60,82],"are":[61],"adaptively":[62],"combined":[63],"and":[64,83,177],"measured":[65],"according":[66],"to":[67,132,175],"decomposition":[69],"tensor":[71],"products":[72],"into":[73],"irreducible":[74,147],"representations.":[75],"This":[76],"\u201cquantum":[77],"sieve\u201d":[78],"starts":[79],"with":[80],"its":[85],"way":[86],"down":[87],"toward":[88],"representations":[89],"whose":[90],"probabilities":[91],"differ":[92],"depending":[93],"on,":[94],"example,":[96],"whether":[97],"trivial":[102],"or":[103],"nontrivial.":[104],"In":[105,181],"this":[106,157,185],"paper":[107],"we":[108,124,151],"show":[109,152],"no":[111,154,168,190],"approach":[113],"can":[114,159,187],"produce":[115],"polynomial-time":[117],"isomorphism.":[122],"Specifically,":[123],"consider":[125],"natural":[127],"reduction":[128],"over":[135,192],"wreath":[137],"product":[138],"$S_n\\wr\\mathbb{Z}_2$.":[139],"Using":[140],"recently":[142],"proved":[143],"bound":[144],"on":[145],"characters":[148],"$S_n$,":[150],"family":[158],"solve":[160],"less":[164],"than":[165],"$\\mathrm{e}^{\\Omega(\\sqrt{n})}$":[166],"time,":[167],"matter":[169],"what":[170],"adaptive":[171],"rule":[172],"it":[173],"uses":[174],"select":[176],"combine":[178],"particular,":[182],"algorithms":[183],"type":[186],"offer":[188],"essentially":[189],"improvement":[191],"best":[194],"classical":[196],"algorithms,":[197],"run":[199],"time":[201],"$\\mathrm{e}^{O(\\sqrt{n\\log":[202],"n})}$.":[203]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
