{"id":"https://openalex.org/W4404914555","doi":"https://doi.org/10.1109/access.2024.3510172","title":"Global Roots and Poles Finding Algorithm on Quantum Computer","display_name":"Global Roots and Poles Finding Algorithm on Quantum Computer","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4404914555","doi":"https://doi.org/10.1109/access.2024.3510172"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3510172","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3510172","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2024.3510172","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114957004","display_name":"Jakub Buczkowski","orcid":null},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jakub Buczkowski","raw_affiliation_strings":["Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland"],"raw_orcid":"https://orcid.org/0009-0007-4429-9031","affiliations":[{"raw_affiliation_string":"Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland","institution_ids":["https://openalex.org/I169333911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114957005","display_name":"Tomasz Ko\u017ami\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tomasz Ko\u017ami\u0144ski","raw_affiliation_strings":["Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland"],"raw_orcid":"https://orcid.org/0009-0004-0739-7247","affiliations":[{"raw_affiliation_string":"Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland","institution_ids":["https://openalex.org/I169333911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114957006","display_name":"Filip Szczepa\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Filip Szczepa\u0144ski","raw_affiliation_strings":["Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland"],"raw_orcid":"https://orcid.org/0009-0004-5740-2622","affiliations":[{"raw_affiliation_string":"Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland","institution_ids":["https://openalex.org/I169333911"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Micha\u0142 Wili\u0144ski","orcid":"https://orcid.org/0009-0004-6896-580X"},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Wili\u0144ski","raw_affiliation_strings":["Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland"],"raw_orcid":"https://orcid.org/0009-0004-6896-580X","affiliations":[{"raw_affiliation_string":"Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland","institution_ids":["https://openalex.org/I169333911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041652624","display_name":"Tomasz P. Stefa\u0144ski","orcid":"https://orcid.org/0000-0002-3952-5731"},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tomasz P. Stefa\u0144ski","raw_affiliation_strings":["Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland"],"raw_orcid":"https://orcid.org/0000-0002-3952-5731","affiliations":[{"raw_affiliation_string":"Faculty of Electronics, Telecommunications and Informatics, Gda&#x0144;sk University of Technology, Gda&#x0144;sk, Poland","institution_ids":["https://openalex.org/I169333911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I169333911"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.2986,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66893401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"12","issue":null,"first_page":"181041","last_page":"181051"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9950000047683716,"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":0.9936000108718872,"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/quantum-computer","display_name":"Quantum computer","score":0.6256791353225708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5726889371871948},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.488045334815979},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.41949376463890076},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22354847192764282},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15678060054779053}],"concepts":[{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.6256791353225708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5726889371871948},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.488045334815979},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41949376463890076},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22354847192764282},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15678060054779053}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3510172","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3510172","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:16e9c7b62ad84baba8bb9b61882252d9","is_oa":true,"landing_page_url":"https://doaj.org/article/16e9c7b62ad84baba8bb9b61882252d9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 181041-181051 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3510172","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3510172","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1996519437","https://openalex.org/W2002372750","https://openalex.org/W2002810990","https://openalex.org/W2020918964","https://openalex.org/W2040792108","https://openalex.org/W2139435141","https://openalex.org/W2148132004","https://openalex.org/W2168676717","https://openalex.org/W2179731956","https://openalex.org/W2882971808","https://openalex.org/W2990961515","https://openalex.org/W3037853801","https://openalex.org/W3105838447","https://openalex.org/W3179874644","https://openalex.org/W3207593445","https://openalex.org/W4221067134","https://openalex.org/W4312440162","https://openalex.org/W4319988708","https://openalex.org/W4376630796","https://openalex.org/W4382407394","https://openalex.org/W4389339821","https://openalex.org/W4390708485"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"In":[0,112],"this":[1,110,163],"paper,":[2],"the":[3,6,41,47,56,59,72,77,83,92,96,102,107,118,127,131,141,146,153,159,197,207,218,225,229,242,245],"implementation":[4],"of":[5,17,43,58,71,82,91,101,140,148,156,162,167,185,199,209,233,244],"global":[7],"roots":[8],"and":[9,50,79,126,137,202,217,250],"poles":[10,203],"finding":[11],"algorithm":[12],"for":[13,27,69,88,135],"a":[14,18,22,51,66,99,123,181,193,214],"complex-valued":[15],"function":[16,37,60,84,103,200],"complex":[19,48],"variable":[20],"on":[21,46,65,180,192,213,224],"quantum":[23,149,182,256],"computer,":[24,183,216],"which":[25,55],"allows":[26],"solving":[28],"general":[29],"nonlinear":[30],"algebraic":[31],"equations,":[32],"is":[33,38,61,63,104,120,170,204,237,253],"presented.":[34],"The":[35],"considered":[36],"sampled":[39],"with":[40,145,206,228,241],"use":[42,147,208,243],"Delaunay\u2019s":[44],"triangulation":[45],"plane":[49],"phase":[52],"quadrant,":[53],"in":[54,95,106,165,239],"value":[57],"located,":[62],"computed":[64],"classical":[67,194,215],"computer":[68],"all":[70],"sampling":[73],"nodes.":[74],"Then,":[75],"if":[76],"real":[78,136],"imaginary":[80,138],"parts":[81,139],"simultaneously":[85,133],"change":[86],"signs":[87],"both":[89],"ends":[90],"same":[93],"edge":[94],"mesh,":[97],"then":[98],"zero":[100],"located":[105],"region":[108],"around":[109],"edge.":[111],"order":[113],"to":[114,172],"detect":[115],"such":[116],"edges,":[117,129,158],"mesh":[119,154,226],"transformed":[121],"into":[122],"one-dimensional":[124],"array":[125],"required":[128],"where":[130],"sign":[132],"changes":[134],"function,":[142],"are":[143,221],"found":[144],"Grover\u2019s":[150],"algorithm.":[151],"If":[152],"consists":[155],"P":[157],"computational":[160],"overhead":[161],"operation,":[164],"terms":[166],"oracle":[168],"queries,":[169],"equal":[171],"<inline-formula":[173,186],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[174,187],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[175,188],"<tex-math":[176,189],"notation=\"LaTeX\">$O(\\sqrt":[177],"{P})$":[178],"</tex-math></inline-formula>":[179,191],"instead":[184],"notation=\"LaTeX\">$O(P)$":[190],"one.":[195],"Finally,":[196],"existence":[198],"zeros":[201],"proved":[205,254],"Cauchy\u2019s":[210],"argument":[211],"principle":[212],"output":[219],"results":[220],"computed,":[222],"based":[223],"refinement,":[227],"assumed":[230],"numerical":[231],"precision":[232],"computations.":[234],"Our":[235],"method":[236],"implemented":[238],"Python":[240],"Qiskit":[246],"software":[247],"development":[248],"kit":[249],"its":[251],"applicability":[252],"by":[255],"emulations.":[257]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
