{"id":"https://openalex.org/W4390071620","doi":"https://doi.org/10.1109/idaacs58523.2023.10348718","title":"Quantum-Inspired Computing: Shor's Algorithm and Euler's Totient Function","display_name":"Quantum-Inspired Computing: Shor's Algorithm and Euler's Totient Function","publication_year":2023,"publication_date":"2023-09-07","ids":{"openalex":"https://openalex.org/W4390071620","doi":"https://doi.org/10.1109/idaacs58523.2023.10348718"},"language":"en","primary_location":{"id":"doi:10.1109/idaacs58523.2023.10348718","is_oa":false,"landing_page_url":"https://doi.org/10.1109/idaacs58523.2023.10348718","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 12th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS)","raw_type":"proceedings-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/A5072193542","display_name":"Valerii Hlukhov","orcid":"https://orcid.org/0000-0002-0542-7447"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Valerii Hlukhov","raw_affiliation_strings":["Lviv Polytechnic National University,Department of Computer Engineering,Lviv,Ukraine","Department of Computer Engineering, Lviv Polytechnic National University, Lviv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Lviv Polytechnic National University,Department of Computer Engineering,Lviv,Ukraine","institution_ids":["https://openalex.org/I98435010"]},{"raw_affiliation_string":"Department of Computer Engineering, Lviv Polytechnic National University, Lviv, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072193542"],"corresponding_institution_ids":["https://openalex.org/I98435010"],"apc_list":null,"apc_paid":null,"fwci":0.7006,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7684006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"865","last_page":"869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9937000274658203,"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":0.9937000274658203,"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":0.9276000261306763,"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9009000062942505,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eulers-totient-function","display_name":"Euler's totient function","score":0.9782217741012573},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.785172164440155},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.6660330295562744},{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.6376638412475586},{"id":"https://openalex.org/keywords/semiprime","display_name":"Semiprime","score":0.6301214098930359},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4919407069683075},{"id":"https://openalex.org/keywords/number-theory","display_name":"Number theory","score":0.4649948179721832},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4322812855243683},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4259440302848816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4101514220237732},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3923572897911072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3802720308303833},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36122480034828186},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.3213270902633667},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32122480869293213},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.22412031888961792},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16718682646751404},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13904035091400146},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.12275367975234985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09693971276283264},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.09255129098892212},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08479765057563782}],"concepts":[{"id":"https://openalex.org/C198944804","wikidata":"https://www.wikidata.org/wiki/Q190026","display_name":"Euler's totient function","level":3,"score":0.9782217741012573},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.785172164440155},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.6660330295562744},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.6376638412475586},{"id":"https://openalex.org/C56781331","wikidata":"https://www.wikidata.org/wiki/Q765289","display_name":"Semiprime","level":3,"score":0.6301214098930359},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4919407069683075},{"id":"https://openalex.org/C169654258","wikidata":"https://www.wikidata.org/wiki/Q12479","display_name":"Number theory","level":2,"score":0.4649948179721832},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4322812855243683},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4259440302848816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4101514220237732},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3923572897911072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3802720308303833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36122480034828186},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.3213270902633667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32122480869293213},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.22412031888961792},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16718682646751404},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13904035091400146},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.12275367975234985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09693971276283264},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.09255129098892212},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08479765057563782},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/idaacs58523.2023.10348718","is_oa":false,"landing_page_url":"https://doi.org/10.1109/idaacs58523.2023.10348718","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 12th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1983468898","https://openalex.org/W2333291999","https://openalex.org/W2928959668","https://openalex.org/W3093931969","https://openalex.org/W3130837149","https://openalex.org/W3181494015","https://openalex.org/W3201109067","https://openalex.org/W4205359176","https://openalex.org/W4206767360","https://openalex.org/W4207063702","https://openalex.org/W4210925333","https://openalex.org/W4285046731","https://openalex.org/W4285224018","https://openalex.org/W4291907974","https://openalex.org/W4296020464","https://openalex.org/W4311231557","https://openalex.org/W4389946825","https://openalex.org/W6680631407","https://openalex.org/W6910408499"],"related_works":["https://openalex.org/W4235485585","https://openalex.org/W670148","https://openalex.org/W1507420113","https://openalex.org/W4242613270","https://openalex.org/W2107014706","https://openalex.org/W28274153","https://openalex.org/W2736837562","https://openalex.org/W2020808628","https://openalex.org/W2767903583","https://openalex.org/W4390071620"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3],"attempt":[4],"is":[5,43,52,76,93],"made":[6],"to":[7,16],"apply":[8],"the":[9,20,23,37,55,65,81,86,89],"Euler's":[10,14,82],"Totient":[11,83],"function":[12,26,84,92],"and":[13,45,64,85],"theorem":[15],"organizing":[17],"calculations":[18],"of":[19,22,67,69,88],"period":[21,38,87],"modular":[24,90],"exponentiation":[25,70,91],"inspired":[27],"by":[28,39],"Shor's":[29],"quantum":[30],"algorithm.":[31],"A":[32],"particular":[33],"method":[34,48],"for":[35,49],"determining":[36],"a":[40,46,73],"classical":[41],"computer":[42],"described":[44],"general":[47],"its":[50],"determination":[51],"proposed.":[53],"For":[54],"first":[56],"10,000":[57],"prime":[58],"numbers,":[59],"semiprime":[60,74],"numbers":[61],"are":[62],"compiled":[63],"distribution":[66],"periods":[68],"functions":[71],"modulo":[72],"number":[75],"studied.":[77],"The":[78],"relationship":[79],"between":[80],"established.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
