{"id":"https://openalex.org/W2110196476","doi":"https://doi.org/10.1007/s00236-011-0139-6","title":"Multi-letter quantum finite automata: decidability of the equivalence and minimization of states","display_name":"Multi-letter quantum finite automata: decidability of the equivalence and minimization of states","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2110196476","doi":"https://doi.org/10.1007/s00236-011-0139-6","mag":"2110196476"},"language":"en","primary_location":{"id":"doi:10.1007/s00236-011-0139-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00236-011-0139-6","pdf_url":null,"source":{"id":"https://openalex.org/S84409463","display_name":"Acta Informatica","issn_l":"0001-5903","issn":["0001-5903","1432-0525"],"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":"Acta Informatica","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":"https://openalex.org/A5026963602","display_name":"Daowen Qiu","orcid":"https://orcid.org/0000-0003-1275-7599"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["CN","PT"],"is_corresponding":true,"raw_author_name":"Daowen Qiu","raw_affiliation_strings":["Department of Computer Science, Sun Yat-sen University, Guangzhou, 510006, China","SQIG\u2014Instituto de Telecomunica\u00e7\u00f5es, Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, TULisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal","The State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, 100080, China","Sun Yat-sen University, Dept. of Comp. Sci., 510006, Guangzhou and Instituto Superior T\u00e9cnico, SQIG\u2014Instituto de Telecomunica\u00e7\u00f5es, Depo de Matem\u00e1tica, TULisbon, ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Sun Yat-sen University, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"SQIG\u2014Instituto de Telecomunica\u00e7\u00f5es, Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, TULisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I4387152517"]},{"raw_affiliation_string":"The State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, 100080, China","institution_ids":["https://openalex.org/I4210128818"]},{"raw_affiliation_string":"Sun Yat-sen University, Dept. of Comp. Sci., 510006, Guangzhou and Instituto Superior T\u00e9cnico, SQIG\u2014Instituto de Telecomunica\u00e7\u00f5es, Depo de Matem\u00e1tica, TULisbon, ...#TAB#","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068977066","display_name":"Lvzhou Li","orcid":"https://orcid.org/0000-0001-5941-7036"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lvzhou Li","raw_affiliation_strings":["Department of Computer Science, Sun Yat-sen University, Guangzhou, 510006, China","Sun Yat-sen University, Department of Computer Science, 510006, Guangzhou, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Sun Yat-sen University, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Sun Yat-sen University, Department of Computer Science, 510006, Guangzhou, China#TAB#","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004915768","display_name":"Xiangfu Zou","orcid":"https://orcid.org/0000-0002-0027-8171"},"institutions":[{"id":"https://openalex.org/I98834328","display_name":"Wuyi University","ror":"https://ror.org/059djzq42","country_code":"CN","type":"education","lineage":["https://openalex.org/I98834328"]},{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangfu Zou","raw_affiliation_strings":["Department of Computer Science, Sun Yat-sen University, Guangzhou, 510006, China","Department of Mathematics and Physics, Wuyi University, Jiangmen, 529020, China","Sun Yat-sen University, Department of Computer Science, 510006, Guangzhou, China and Wuyi University, Department of Mathematics and Physics, 529020, Jiangmen, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Sun Yat-sen University, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Department of Mathematics and Physics, Wuyi University, Jiangmen, 529020, China","institution_ids":["https://openalex.org/I98834328"]},{"raw_affiliation_string":"Sun Yat-sen University, Department of Computer Science, 510006, Guangzhou, China and Wuyi University, Department of Mathematics and Physics, 529020, Jiangmen, China#TAB#","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049655958","display_name":"Paulo Mateus","orcid":"https://orcid.org/0000-0002-2393-8224"},"institutions":[{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]},{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Paulo Mateus","raw_affiliation_strings":["SQIG\u2014Instituto de Telecomunica\u00e7\u00f5es, Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, TULisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal","Instituto Superior T\u00e9cnico, SQIG\u2014Instituto de Telecomunica\u00e7\u00f5es, Departamento de Matem\u00e1tica, TULisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal#TAB#"],"affiliations":[{"raw_affiliation_string":"SQIG\u2014Instituto de Telecomunica\u00e7\u00f5es, Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, TULisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I4387152517"]},{"raw_affiliation_string":"Instituto Superior T\u00e9cnico, SQIG\u2014Instituto de Telecomunica\u00e7\u00f5es, Departamento de Matem\u00e1tica, TULisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal#TAB#","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070539897","display_name":"Jozef Gruska","orcid":null},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jozef Gruska","raw_affiliation_strings":["Faculty of Informatics, Masaryk University, Brno, Czech Republik","Masaryk University, Faculty of Informatics, Brno, Czech Republik#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Masaryk University, Brno, Czech Republik","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Masaryk University, Faculty of Informatics, Brno, Czech Republik#TAB#","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5026963602"],"corresponding_institution_ids":["https://openalex.org/I157773358","https://openalex.org/I4210120471","https://openalex.org/I4210128818","https://openalex.org/I4387152517"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.6624,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.90967015,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"5-6","first_page":"271","last_page":"290"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.998199999332428,"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":0.9958999752998352,"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/decidability","display_name":"Decidability","score":0.831972599029541},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6596527099609375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6490005254745483},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6436747312545776},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6363855600357056},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6264971494674683},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5143438577651978},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49999499320983887},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.4496590793132782},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4450513422489166},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.4393540620803833},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.3434058427810669},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.33520400524139404},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16008013486862183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14794549345970154}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.831972599029541},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6596527099609375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6490005254745483},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6436747312545776},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6363855600357056},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6264971494674683},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5143438577651978},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49999499320983887},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.4496590793132782},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4450513422489166},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.4393540620803833},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.3434058427810669},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.33520400524139404},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16008013486862183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14794549345970154},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00236-011-0139-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00236-011-0139-6","pdf_url":null,"source":{"id":"https://openalex.org/S84409463","display_name":"Acta Informatica","issn_l":"0001-5903","issn":["0001-5903","1432-0525"],"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":"Acta Informatica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W104993865","https://openalex.org/W177913229","https://openalex.org/W197090178","https://openalex.org/W421997344","https://openalex.org/W616063655","https://openalex.org/W1498719764","https://openalex.org/W1540981970","https://openalex.org/W1553142094","https://openalex.org/W1574151794","https://openalex.org/W1584587517","https://openalex.org/W1597440471","https://openalex.org/W1834492313","https://openalex.org/W1834767237","https://openalex.org/W1997545301","https://openalex.org/W1999721795","https://openalex.org/W2002089154","https://openalex.org/W2022392369","https://openalex.org/W2027671360","https://openalex.org/W2028811084","https://openalex.org/W2041518499","https://openalex.org/W2063628628","https://openalex.org/W2067754486","https://openalex.org/W2072745801","https://openalex.org/W2078896965","https://openalex.org/W2084652510","https://openalex.org/W2089090125","https://openalex.org/W2115757125","https://openalex.org/W2119825179","https://openalex.org/W2137147061","https://openalex.org/W2146407322","https://openalex.org/W2164423904","https://openalex.org/W2165368789","https://openalex.org/W2330913512","https://openalex.org/W2798486685","https://openalex.org/W2912812650","https://openalex.org/W2913383557","https://openalex.org/W3023478445","https://openalex.org/W4212875940","https://openalex.org/W4213269876","https://openalex.org/W4241604193","https://openalex.org/W4255213956","https://openalex.org/W4298290503","https://openalex.org/W4302339081","https://openalex.org/W6812722890"],"related_works":["https://openalex.org/W2537940722","https://openalex.org/W4205935260","https://openalex.org/W1975910189","https://openalex.org/W2269685284","https://openalex.org/W2368684504","https://openalex.org/W2371400076","https://openalex.org/W4386400090","https://openalex.org/W277366380","https://openalex.org/W2057386223","https://openalex.org/W2030569822"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
