{"id":"https://openalex.org/W4386148140","doi":"https://doi.org/10.48550/arxiv.2308.11758","title":"Quantum Circuits for Fixed Substring Matching Problems","display_name":"Quantum Circuits for Fixed Substring Matching Problems","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386148140","doi":"https://doi.org/10.48550/arxiv.2308.11758"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2308.11758","pdf_url":null,"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":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2308.11758","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045684463","display_name":"Domenico Cantone","orcid":"https://orcid.org/0000-0002-1306-1166"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cantone, Domenico","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105877451","display_name":"Simone Faro","orcid":"https://orcid.org/0000-0001-5937-5796"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Faro, Simone","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008817499","display_name":"Arianna Pavone","orcid":"https://orcid.org/0000-0002-8840-6157"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pavone, Arianna","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008940410","display_name":"Caterina Viola","orcid":"https://orcid.org/0000-0002-7312-5002"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Viola, Caterina","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":67},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9992,"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"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9992,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9992,"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/T11567","display_name":"semigroups and automata theory","score":0.9922,"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/substring","display_name":"Substring","score":0.99037504},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.53643954}],"concepts":[{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.99037504},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.63451964},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.6205439},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.53643954},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4653896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.458724},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.41556323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40005174},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.39696068},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37120634},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3319529},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.21277192},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11224133},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2308.11758","pdf_url":null,"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":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2308.11758","pdf_url":"http://arxiv.org/pdf/2308.11758","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2308.11758","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2308.11758","pdf_url":null,"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":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4308670360","https://openalex.org/W4291327800","https://openalex.org/W4286787697","https://openalex.org/W4230921427","https://openalex.org/W4200187525","https://openalex.org/W3043769852","https://openalex.org/W2950721324","https://openalex.org/W2051304374","https://openalex.org/W1970688438","https://openalex.org/W1505605100"],"abstract_inverted_index":{"Quantum":[0],"computation":[1,61],"represents":[2],"a":[3,99,114,123,164,180],"computational":[4,35],"paradigm":[5],"whose":[6],"distinctive":[7],"attributes":[8],"confer":[9],"the":[10,77,108,111,120,140,154,184,189],"ability":[11],"to":[12,21,32,44,62,106,183],"devise":[13],"algorithms":[14],"with":[15],"asymptotic":[16],"performance":[17],"levels":[18],"significantly":[19],"superior":[20],"those":[22,69],"achievable":[23],"via":[24],"classical":[25,55,191],"computation.":[26],"Recent":[27],"strides":[28],"have":[29],"been":[30],"taken":[31],"apply":[33],"this":[34],"framework":[36],"in":[37,150,163,188],"tackling":[38],"and":[39,92,98,171],"resolving":[40],"various":[41],"issues":[42],"related":[43],"text":[45,65,169],"processing.":[46],"The":[47,73],"resultant":[48],"solutions":[49],"demonstrate":[50],"marked":[51],"advantages":[52],"over":[53],"their":[54],"counterparts.":[56],"This":[57],"study":[58],"employs":[59],"quantum":[60],"efficaciously":[63],"surmount":[64],"processing":[66,170],"challenges,":[67],"particularly":[68],"involving":[70],"string":[71],"comparison.":[72],"focus":[74],"is":[75],"on":[76],"alignment":[78],"of":[79,95,113,117,122,126,142,146,166],"fixed-length":[80],"substrings":[81],"within":[82],"two":[83,88],"input":[84,89],"strings.":[85],"Specifically,":[86],"given":[87],"strings,":[90],"$x$":[91],"$y$,":[93],"both":[94,151],"length":[96,118,127,147],"$n$,":[97],"value":[100],"$d":[101],"\\leq":[102,135],"n$,":[103],"we":[104],"want":[105],"verify":[107],"following":[109],"conditions:":[110],"existence":[112],"common":[115,124,144],"prefix":[116],"$d$,":[119],"presence":[121,141],"substring":[125,145],"$d$":[128,148],"beginning":[129,149],"at":[130,153],"position":[131],"$j$":[132],"(with":[133],"$0":[134],"j":[136],"<":[137],"n$)":[138],"and,":[139],"any":[143],"strings":[152],"same":[155],"position.":[156],"Such":[157],"problems":[158,167],"find":[159],"applications":[160],"as":[161],"sub-procedures":[162],"variety":[165],"concerning":[168],"sequence":[172],"analysis.":[173],"Notably,":[174],"our":[175],"approach":[176],"furnishes":[177],"polylogarithmic":[178],"solutions,":[179],"stark":[181],"contrast":[182],"linear":[185],"complexity":[186],"inherent":[187],"best":[190],"alternatives.":[192]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4386148140","counts_by_year":[],"updated_date":"2025-01-02T23:33:27.158887","created_date":"2023-08-25"}