{"id":"https://openalex.org/W4399493653","doi":"https://doi.org/10.1145/3672395","title":"Quantum Speed-Ups for String Synchronizing Sets, Longest Common Substring, and <i>k</i> -mismatch Matching","display_name":"Quantum Speed-Ups for String Synchronizing Sets, Longest Common Substring, and <i>k</i> -mismatch Matching","publication_year":2024,"publication_date":"2024-06-10","ids":{"openalex":"https://openalex.org/W4399493653","doi":"https://doi.org/10.1145/3672395"},"language":"en","primary_location":{"id":"doi:10.1145/3672395","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3672395","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3672395","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3672395","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070903653","display_name":"Ce Jin","orcid":"https://orcid.org/0000-0001-5264-1772"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ce Jin","raw_affiliation_strings":["MIT, Cambridge, Massachusetts, USA","MIT, USA"],"raw_orcid":"https://orcid.org/0000-0001-5264-1772","affiliations":[{"raw_affiliation_string":"MIT, Cambridge, Massachusetts, USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"MIT, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084429927","display_name":"Jakob Nogler","orcid":"https://orcid.org/0009-0002-7028-2595"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jakob Nogler","raw_affiliation_strings":["ETH Zurich, Zurich, Switzerland","ETH Zurich, Switzerland"],"raw_orcid":"https://orcid.org/0009-0002-7028-2595","affiliations":[{"raw_affiliation_string":"ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6109,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72170223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"20","issue":"4","first_page":"1","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9995999932289124,"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":0.9995999932289124,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"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/T12029","display_name":"DNA and Biological Computing","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/substring","display_name":"Substring","score":0.8743484020233154},{"id":"https://openalex.org/keywords/synchronizing","display_name":"Synchronizing","score":0.6415109634399414},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.6058277487754822},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5768182873725891},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5632261633872986},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5380610227584839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48564329743385315},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39075028896331787},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3753470778465271},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31100308895111084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2615365982055664},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13631293177604675},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.10797584056854248}],"concepts":[{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.8743484020233154},{"id":"https://openalex.org/C162932704","wikidata":"https://www.wikidata.org/wiki/Q1058791","display_name":"Synchronizing","level":3,"score":0.6415109634399414},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.6058277487754822},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5768182873725891},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5632261633872986},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5380610227584839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48564329743385315},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39075028896331787},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3753470778465271},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31100308895111084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2615365982055664},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13631293177604675},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.10797584056854248},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3672395","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3672395","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3672395","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3672395","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3672395","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3672395","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1013154005","display_name":null,"funder_award_id":"2129139","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3611442959","display_name":null,"funder_award_id":"CCF-2129139","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399493653.pdf","grobid_xml":"https://content.openalex.org/works/W4399493653.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W121256723","https://openalex.org/W1514819288","https://openalex.org/W1546860696","https://openalex.org/W1991454799","https://openalex.org/W1993091968","https://openalex.org/W1995893188","https://openalex.org/W2006096862","https://openalex.org/W2006290558","https://openalex.org/W2009467529","https://openalex.org/W2012496360","https://openalex.org/W2025070700","https://openalex.org/W2034038586","https://openalex.org/W2058286540","https://openalex.org/W2082092341","https://openalex.org/W2084652510","https://openalex.org/W2100198355","https://openalex.org/W2102008187","https://openalex.org/W2107079154","https://openalex.org/W2112553910","https://openalex.org/W2121981260","https://openalex.org/W2122780600","https://openalex.org/W2141920417","https://openalex.org/W2169708967","https://openalex.org/W2279569755","https://openalex.org/W2487645523","https://openalex.org/W2533248932","https://openalex.org/W2885786319","https://openalex.org/W2905315630","https://openalex.org/W2939697258","https://openalex.org/W2949583843","https://openalex.org/W2963231949","https://openalex.org/W2963299914","https://openalex.org/W2964057579","https://openalex.org/W2968697199","https://openalex.org/W2978042462","https://openalex.org/W2982280869","https://openalex.org/W3037236243","https://openalex.org/W3038072339","https://openalex.org/W3043437193","https://openalex.org/W3046434888","https://openalex.org/W3082242318","https://openalex.org/W3093792486","https://openalex.org/W3127479364","https://openalex.org/W3127593639","https://openalex.org/W3137072739","https://openalex.org/W3137531283","https://openalex.org/W3139077408","https://openalex.org/W3160834361","https://openalex.org/W3162057152","https://openalex.org/W4212954813","https://openalex.org/W4243237799","https://openalex.org/W4244055687","https://openalex.org/W4249054680","https://openalex.org/W4282042973","https://openalex.org/W4300868971","https://openalex.org/W4302344947","https://openalex.org/W4312108867","https://openalex.org/W4316652366","https://openalex.org/W4318215383","https://openalex.org/W4389712405","https://openalex.org/W4390575866"],"related_works":["https://openalex.org/W2051304374","https://openalex.org/W3043769852","https://openalex.org/W4286787697","https://openalex.org/W1505605100","https://openalex.org/W4291327800","https://openalex.org/W4308670360","https://openalex.org/W2950721324","https://openalex.org/W4200187525","https://openalex.org/W4230921427","https://openalex.org/W1970688438"],"abstract_inverted_index":{"Longest":[0],"common":[1,40],"substring":[2,41],"(LCS)":[3],"is":[4,157],"an":[5,146,242],"important":[6],"text":[7,246],"processing":[8],"problem,":[9,25,235],"which":[10,236],"has":[11,106,241,269],"recently":[12],"been":[13],"investigated":[14],"in":[15,65,110,181,201,216,244],"the":[16,70,83,93,162,182,217,231,239,245],"quantum":[17,66,108,122,159,199,205,218,225,271,286],"query":[18,67,112,123,275,287],"model.":[19],"The":[20,46],"decision":[21],"version":[22],"of":[23,42,85,149,161,223,257,290],"this":[24],"LCS":[26,86,102],"with":[27,87,103,247,273],"threshold":[28,88,104],"\\(d\\)":[29,44,89,105],",":[30,53],"asks":[31,237],"whether":[32],"two":[33,47,62,94],"length-":[34,187],"\\(n\\)":[35],"input":[36],"strings":[37],"have":[38],"a":[39,107,158,198,211,254,270,284],"length":[43],".":[45,292],"extreme":[48,95],"cases,":[49],"\\(d=1\\)":[50],"and":[51,59,114,117,135,140,144,151,171,190,277],"\\(d=n\\)":[52],"correspond,":[54],"respectively":[55],"to":[56,98],"Element":[57],"Distinctness":[58],"Unstructured":[60],"Search,":[61],"fundamental":[63],"problems":[64],"complexity.":[68,124,280],"However,":[69],"intermediate":[71],"case":[72],"\\(1\\ll":[73],"d\\ll":[74],"n\\)":[75],"was":[76],"not":[77],"fully":[78],"understood.":[79],"We":[80,281],"show":[81],"that":[82],"complexity":[84,113,276],"smoothly":[90],"interpolates":[91],"between":[92],"cases":[96],"up":[97],"\\(n^{o(1)}\\)":[99],"factors:":[100],"\u2014":[101,265],"algorithm":[109,200,272],"\\(n^{2/3+o(1)}/d^{1/6}\\)":[111],"time":[115,279],"complexity,":[116],"requires":[118],"at":[119,248],"least":[120],"\\(\\Omega(n^{2/3}/d^{1/6})\\)":[121],"Our":[125,153,204],"result":[126,256],"improves":[127],"upon":[128],"previous":[129],"upper":[130],"bounds":[131],"\\(\\widetilde{O}(\\min\\{n/d^{1/2},n^{2/3}\\})\\)":[132],"(Le":[133],"Gall":[134],"Seddighin":[136],"ITCS":[137],"2022,":[138],"Akmal":[139,150],"Jin":[141],"SODA":[142],"2022),":[143],"answers":[145],"open":[147],"question":[148],"Jin.":[152],"main":[154],"technical":[155],"contribution":[156],"speed-up":[160],"powerful":[163],"String":[164],"Synchronizing":[165],"Set":[166],"technique":[167],"introduced":[168],"by":[169,197],"Kempa":[170],"Kociumaka":[172],"(STOC":[173],"2019).":[174],"It":[175],"consistently":[176],"samples":[177],"\\(n/\\tau^{1-o(1)}\\)":[178],"synchronizing":[179,192,207,227],"positions":[180],"string":[183,206,226],"depending":[184],"on":[185],"their":[186],"\\(\\Theta(\\tau)\\)":[188],"contexts,":[189],"each":[191],"position":[193],"can":[194],"be":[195],"reported":[196],"\\(\\widetilde{O}(\\tau^{1/2+o(1)})\\)":[202],"time.":[203],"set":[208],"also":[209,282],"yields":[210],"near-optimal":[212],"LCE":[213],"data":[214],"structure":[215],"setting.":[219],"As":[220],"another":[221],"application":[222],"our":[224],"set,":[228],"we":[229,263],"study":[230],"\\(k\\)":[232,250,266],"-mismatch":[233,267],"Matching":[234],"if":[238],"pattern":[240],"occurrence":[243],"most":[249],"Hamming":[251],"mismatches.":[252],"Using":[253],"structural":[255],"Charalampopoulos":[258],"et":[259],"al.":[260],"(FOCS":[261],"2020),":[262],"obtain:":[264],"matching":[268],"\\(k^{3/4}n^{1/2+o(1)}\\)":[274],"\\(\\widetilde{O}(kn^{1/2})\\)":[278],"observe":[283],"non-matching":[285],"lower":[288],"bound":[289],"\\(\\Omega(\\sqrt{kn})\\)":[291]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}