{"id":"https://openalex.org/W4396951539","doi":"https://doi.org/10.1007/s11128-024-04388-9","title":"An algorithm based on quantum phase estimation for the identification of patterns","display_name":"An algorithm based on quantum phase estimation for the identification of patterns","publication_year":2024,"publication_date":"2024-05-16","ids":{"openalex":"https://openalex.org/W4396951539","doi":"https://doi.org/10.1007/s11128-024-04388-9"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-024-04388-9","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s11128-024-04388-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-024-04388-9.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11128-024-04388-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015178106","display_name":"Dimitris Ntalaperas","orcid":"https://orcid.org/0000-0001-7560-3912"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Dimitris Ntalaperas","raw_affiliation_strings":["Computer Science Department, Aristotle University of Thessaloniki, Thessaloniki, 54124, Kentriki Makedonia, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Aristotle University of Thessaloniki, Thessaloniki, 54124, Kentriki Makedonia, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102750416","display_name":"\u0391\u03bd\u03b4\u03c1\u03ad\u03b1\u03c2 \u039a\u03b1\u03bb\u03bf\u03b3\u03b5\u03c1\u03cc\u03c0\u03bf\u03c5\u03bb\u03bf\u03c2","orcid":"https://orcid.org/0000-0001-6526-5606"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Andreas Kalogeropoulos","raw_affiliation_strings":["Computer Science Department, Aristotle University of Thessaloniki, Thessaloniki, 54124, Kentriki Makedonia, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Aristotle University of Thessaloniki, Thessaloniki, 54124, Kentriki Makedonia, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087517264","display_name":"N. Konofaos","orcid":"https://orcid.org/0000-0003-2949-1184"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikos Konofaos","raw_affiliation_strings":["Computer Science Department, Aristotle University of Thessaloniki, Thessaloniki, 54124, Kentriki Makedonia, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Aristotle University of Thessaloniki, Thessaloniki, 54124, Kentriki Makedonia, Greece","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015178106"],"corresponding_institution_ids":["https://openalex.org/I21370196"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":{"value":2040,"currency":"EUR","value_usd":2690},"fwci":0.6077,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71749748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"23","issue":"5","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":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":0.9973999857902527,"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":0.9440000057220459,"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/algorithm","display_name":"Algorithm","score":0.7659912109375},{"id":"https://openalex.org/keywords/quantum-phase-estimation-algorithm","display_name":"Quantum phase estimation algorithm","score":0.7154502272605896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6103854179382324},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.6017190217971802},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5610750913619995},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5147891044616699},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.5144753456115723},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.4823181629180908},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.46554291248321533},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.45537054538726807},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.43215397000312805},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4236859977245331},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3310728669166565},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.23114138841629028},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09440469741821289},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08584773540496826}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7659912109375},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.7154502272605896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6103854179382324},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.6017190217971802},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5610750913619995},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5147891044616699},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5144753456115723},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4823181629180908},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.46554291248321533},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.45537054538726807},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43215397000312805},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4236859977245331},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3310728669166565},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.23114138841629028},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09440469741821289},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08584773540496826},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-024-04388-9","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s11128-024-04388-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-024-04388-9.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11128-024-04388-9","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s11128-024-04388-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-024-04388-9.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323894","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396951539.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W149097284","https://openalex.org/W2013490745","https://openalex.org/W2019024432","https://openalex.org/W2029195137","https://openalex.org/W2033339460","https://openalex.org/W2035375352","https://openalex.org/W2038713182","https://openalex.org/W2041638326","https://openalex.org/W2052169397","https://openalex.org/W2055043387","https://openalex.org/W2074231493","https://openalex.org/W2084652510","https://openalex.org/W2087064593","https://openalex.org/W2102008187","https://openalex.org/W2168676717","https://openalex.org/W2562234976","https://openalex.org/W2944782957","https://openalex.org/W2954369586","https://openalex.org/W2982461819","https://openalex.org/W3096052452","https://openalex.org/W3129458892","https://openalex.org/W3132769815","https://openalex.org/W4235129393","https://openalex.org/W4289313383","https://openalex.org/W4306699550","https://openalex.org/W4323572379","https://openalex.org/W4353094421","https://openalex.org/W4379741860","https://openalex.org/W4391319874","https://openalex.org/W6931031300"],"related_works":["https://openalex.org/W3206120658","https://openalex.org/W4388704119","https://openalex.org/W4281550036","https://openalex.org/W3094689058","https://openalex.org/W2409877639","https://openalex.org/W2910123824","https://openalex.org/W2911278742","https://openalex.org/W2103278447","https://openalex.org/W2803326230","https://openalex.org/W3037649077"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"quantum":[2,13],"phase":[3],"estimation":[4],"algorithm":[5,64],"has":[6],"been":[7],"utilized":[8],"by":[9,141],"a":[10,26,33,45,49,58,73],"variety":[11],"of":[12,25,110,126,138,152],"algorithms,":[14],"most":[15],"notably":[16],"Shor\u2019s":[17],"algorithm,":[18,116],"to":[19,42,65,80,87,99,149],"obtain":[20],"information":[21],"regarding":[22],"the":[23,62,119,136,142,150,153],"period":[24],"function":[27],"that":[28],"is":[29,40,144],"appropriately":[30],"encoded":[31,75],"into":[32],"unitary":[34,82],"operator.":[35],"In":[36,53,69],"many":[37],"cases,":[38],"it":[39,130],"desired":[41],"estimate":[43],"whether":[44],"specific":[46],"state":[47],"exhibits":[48],"certain":[50,67],"pattern":[51],"quickly.":[52],"this":[54,108],"paper,":[55],"we":[56,77],"exhibit":[57],"methodology":[59],"based":[60,117],"on":[61,118],"QPE":[63,92],"identify":[66],"patterns.":[68],"particular,":[70],"starting":[71],"from":[72],"properly":[74],"state,":[76],"demonstrate":[78],"how":[79],"construct":[81],"operators":[83],"whose":[84],"eigenvectors":[85],"correspond":[86],"states":[88],"with":[89,101],"proper":[90],"diagonals.":[91],"will":[93,123,131],"then":[94],"output":[95],"an":[96],"eigenphase":[97],"equal":[98],"zero":[100],"certainty":[102],"for":[103],"these":[104],"states,":[105],"thereby":[106],"identifying":[107],"class":[109],"matrices.":[111],"For":[112],"partial":[113],"matches,":[114],"our":[115],"tolerance":[120,143],"threshold":[121],"used,":[122],"show":[124],"areas":[125],"high":[127],"similarity,":[128],"and":[129],"outperform":[132],"classical":[133],"ones":[134],"when":[135,147],"number":[137],"mismatches":[139],"defined":[140],"significantly":[145],"low":[146],"compared":[148],"size":[151],"diagonal.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}