{"id":"https://openalex.org/W1986841879","doi":"https://doi.org/10.1007/s10992-013-9271-9","title":"The Toffoli-Hadamard Gate System: an Algebraic Approach","display_name":"The Toffoli-Hadamard Gate System: an Algebraic Approach","publication_year":2013,"publication_date":"2013-04-05","ids":{"openalex":"https://openalex.org/W1986841879","doi":"https://doi.org/10.1007/s10992-013-9271-9","mag":"1986841879"},"language":"en","primary_location":{"id":"doi:10.1007/s10992-013-9271-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10992-013-9271-9","pdf_url":null,"source":{"id":"https://openalex.org/S161120620","display_name":"Journal of Philosophical Logic","issn_l":"0022-3611","issn":["0022-3611","1573-0433"],"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":"Journal of Philosophical Logic","raw_type":"journal-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":null,"display_name":"M. L. Dalla Chiara","orcid":null},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. L. Dalla Chiara","raw_affiliation_strings":["Dipartimento di Filosofia, Universit\u00e0 di Firenze, via Bolognese 52, 50139, Firenze, Italy","\u2019Universit\u00e0 di Firenze"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Filosofia, Universit\u00e0 di Firenze, via Bolognese 52, 50139, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"\u2019Universit\u00e0 di Firenze","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010857507","display_name":"Antonio Ledda","orcid":"https://orcid.org/0000-0003-2569-7214"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Ledda","raw_affiliation_strings":["Dipartimento di Filosofia, Universit\u00e0 di Cagliari, via Is Mirrionis 1, 09123, Cagliari, Italy","Universita\u0300 di Cagliari,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Filosofia, Universit\u00e0 di Cagliari, via Is Mirrionis 1, 09123, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Universita\u0300 di Cagliari,","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005032639","display_name":"Giuseppe Sergioli","orcid":"https://orcid.org/0000-0002-3650-5858"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Sergioli","raw_affiliation_strings":["Dipartimento di Filosofia, Universit\u00e0 di Cagliari, via Is Mirrionis 1, 09123, Cagliari, Italy","Universita\u0300 di Cagliari,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Filosofia, Universit\u00e0 di Cagliari, via Is Mirrionis 1, 09123, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Universita\u0300 di Cagliari,","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075904550","display_name":"Roberto Giuntini","orcid":"https://orcid.org/0000-0003-2078-0297"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"R. Giuntini","raw_affiliation_strings":["Dipartimento di Filosofia, Universit\u00e0 di Cagliari, via Is Mirrionis 1, 09123, Cagliari, Italy","Universita\u0300 di Cagliari,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Filosofia, Universit\u00e0 di Cagliari, via Is Mirrionis 1, 09123, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Universita\u0300 di Cagliari,","institution_ids":["https://openalex.org/I172446870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.7449,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72163283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"42","issue":"3","first_page":"467","last_page":"481"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.998199999332428,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.993399977684021,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9753999710083008,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/toffoli-gate","display_name":"Toffoli gate","score":0.9315385222434998},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.782525897026062},{"id":"https://openalex.org/keywords/quantum-gate","display_name":"Quantum gate","score":0.5979839563369751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5446112155914307},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.45970165729522705},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.45499521493911743},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.438424289226532},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4371011257171631},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42433255910873413},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.4150206446647644},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3630344867706299},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.2790719270706177},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.21946635842323303},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.19659563899040222},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16336190700531006},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06222182512283325}],"concepts":[{"id":"https://openalex.org/C142465778","wikidata":"https://www.wikidata.org/wiki/Q2502619","display_name":"Toffoli gate","level":5,"score":0.9315385222434998},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.782525897026062},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.5979839563369751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5446112155914307},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45970165729522705},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.45499521493911743},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.438424289226532},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4371011257171631},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42433255910873413},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.4150206446647644},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3630344867706299},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2790719270706177},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21946635842323303},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.19659563899040222},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16336190700531006},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06222182512283325}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10992-013-9271-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10992-013-9271-9","pdf_url":null,"source":{"id":"https://openalex.org/S161120620","display_name":"Journal of Philosophical Logic","issn_l":"0022-3611","issn":["0022-3611","1573-0433"],"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":"Journal of Philosophical Logic","raw_type":"journal-article"},{"id":"pmh:oai:iris.unica.it:11584/96131","is_oa":false,"landing_page_url":"http://hdl.handle.net/11584/96131","pdf_url":null,"source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W66921489","https://openalex.org/W570095099","https://openalex.org/W1566552629","https://openalex.org/W1589421353","https://openalex.org/W1603957787","https://openalex.org/W1631356911","https://openalex.org/W1632729363","https://openalex.org/W1661198567","https://openalex.org/W1971712894","https://openalex.org/W1980058379","https://openalex.org/W1998760833","https://openalex.org/W2101088258","https://openalex.org/W2159566537","https://openalex.org/W2171887607","https://openalex.org/W2760655848","https://openalex.org/W2764347725","https://openalex.org/W2912120411","https://openalex.org/W2950843936","https://openalex.org/W2950862844","https://openalex.org/W4242597152","https://openalex.org/W6744457607","https://openalex.org/W6770759485"],"related_works":["https://openalex.org/W1602603282","https://openalex.org/W2054788067","https://openalex.org/W2740594951","https://openalex.org/W2796326658","https://openalex.org/W4226106482","https://openalex.org/W2038981428","https://openalex.org/W1976224891","https://openalex.org/W2028598007","https://openalex.org/W1250648069","https://openalex.org/W4312637292"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}