{"id":"https://openalex.org/W2153805000","doi":"https://doi.org/10.1007/s11128-013-0654-1","title":"A universal quantum circuit scheme for finding complex eigenvalues","display_name":"A universal quantum circuit scheme for finding complex eigenvalues","publication_year":2013,"publication_date":"2013-10-19","ids":{"openalex":"https://openalex.org/W2153805000","doi":"https://doi.org/10.1007/s11128-013-0654-1","mag":"2153805000"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-013-0654-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-013-0654-1","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1302.0579","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085042585","display_name":"Ammar Daskin","orcid":"https://orcid.org/0000-0002-1497-5031"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anmer Daskin","raw_affiliation_strings":["Department of Computer Science, Purdue University, West Lafayette, IN , 47907, USA","Department of Computer Science, Purdue University, West Lafayette, IN\u00a0, 47907, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Purdue University, West Lafayette, IN , 47907, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Computer Science, Purdue University, West Lafayette, IN\u00a0, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019202832","display_name":"Ananth Grama","orcid":"https://orcid.org/0000-0002-9378-9244"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ananth Grama","raw_affiliation_strings":["Department of Computer Science, Purdue University, West Lafayette, IN , 47907, USA","Department of Computer Science, Purdue University, West Lafayette, IN\u00a0, 47907, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Purdue University, West Lafayette, IN , 47907, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Computer Science, Purdue University, West Lafayette, IN\u00a0, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017775824","display_name":"Sabre Kais","orcid":"https://orcid.org/0000-0003-0574-5346"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]},{"id":"https://openalex.org/I92528248","display_name":"Qatar Foundation","ror":"https://ror.org/01cawbq05","country_code":"QA","type":"funder","lineage":["https://openalex.org/I92528248"]}],"countries":["QA","US"],"is_corresponding":false,"raw_author_name":"Sabre Kais","raw_affiliation_strings":["Department of Chemistry, Purdue University, West Lafayette, IN, 47907, USA","Department of Physics and Birck Nanotechnology Center, Purdue University, West Lafayette, IN, 47907, USA","Qatar Environment and Energy Research Institute, Doha, Qatar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Physics and Birck Nanotechnology Center, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Qatar Environment and Energy Research Institute, Doha, Qatar","institution_ids":["https://openalex.org/I92528248"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085042585"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":3.3284,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.92779547,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"2","first_page":"333","last_page":"353"},"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":0.9994000196456909,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7839888334274292},{"id":"https://openalex.org/keywords/quantum-phase-estimation-algorithm","display_name":"Quantum phase estimation algorithm","score":0.6507167816162109},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.626628577709198},{"id":"https://openalex.org/keywords/quantum-fourier-transform","display_name":"Quantum Fourier transform","score":0.5474638342857361},{"id":"https://openalex.org/keywords/quantum-circuit","display_name":"Quantum circuit","score":0.5364675521850586},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5170345902442932},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.5076199769973755},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.47291573882102966},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.46502116322517395},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.41038772463798523},{"id":"https://openalex.org/keywords/quantum-gate","display_name":"Quantum gate","score":0.3788021504878998},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37454402446746826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3494059145450592},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3447311818599701},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.34392380714416504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3280375599861145},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.32149747014045715},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2661517858505249},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1321631669998169},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1051856279373169}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7839888334274292},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.6507167816162109},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.626628577709198},{"id":"https://openalex.org/C59500034","wikidata":"https://www.wikidata.org/wiki/Q1464944","display_name":"Quantum Fourier transform","level":5,"score":0.5474638342857361},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.5364675521850586},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5170345902442932},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.5076199769973755},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.47291573882102966},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.46502116322517395},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.41038772463798523},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.3788021504878998},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37454402446746826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3494059145450592},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3447311818599701},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.34392380714416504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3280375599861145},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.32149747014045715},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2661517858505249},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1321631669998169},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1051856279373169},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11128-013-0654-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-013-0654-1","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1302.0579","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1302.0579","pdf_url":"https://arxiv.org/pdf/1302.0579","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:docs.lib.purdue.edu:nanopub-2550","is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/nanopub/1521","pdf_url":null,"source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Birck and NCN Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1302.0579","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1302.0579","pdf_url":"https://arxiv.org/pdf/1302.0579","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W149097284","https://openalex.org/W1492999010","https://openalex.org/W1631356911","https://openalex.org/W1649271673","https://openalex.org/W1966077740","https://openalex.org/W1967257224","https://openalex.org/W1981745143","https://openalex.org/W1981972397","https://openalex.org/W1997740743","https://openalex.org/W1998217267","https://openalex.org/W2006290558","https://openalex.org/W2009388788","https://openalex.org/W2016277668","https://openalex.org/W2023789062","https://openalex.org/W2026154948","https://openalex.org/W2029532321","https://openalex.org/W2030464033","https://openalex.org/W2030975752","https://openalex.org/W2037530819","https://openalex.org/W2043776168","https://openalex.org/W2045301994","https://openalex.org/W2050159513","https://openalex.org/W2052891002","https://openalex.org/W2064906820","https://openalex.org/W2073977329","https://openalex.org/W2084040475","https://openalex.org/W2112699581","https://openalex.org/W2117769475","https://openalex.org/W2117980155","https://openalex.org/W2122639408","https://openalex.org/W2143677375","https://openalex.org/W2148132004","https://openalex.org/W2157721484","https://openalex.org/W2161999284","https://openalex.org/W2171864876","https://openalex.org/W2179731956","https://openalex.org/W2183090941","https://openalex.org/W2764347725","https://openalex.org/W2798909945","https://openalex.org/W3100043253","https://openalex.org/W3100798923","https://openalex.org/W3101636216","https://openalex.org/W3101895527","https://openalex.org/W3102096835","https://openalex.org/W3103442846","https://openalex.org/W3105306917","https://openalex.org/W3124186578"],"related_works":["https://openalex.org/W4293999033","https://openalex.org/W4375959436","https://openalex.org/W4320854618","https://openalex.org/W3200714110","https://openalex.org/W2565839197","https://openalex.org/W4387917696","https://openalex.org/W1986555820","https://openalex.org/W3169254367","https://openalex.org/W4376983350","https://openalex.org/W4200120227"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}