{"id":"https://openalex.org/W4411830990","doi":"https://doi.org/10.1007/s11128-025-04808-4","title":"Permissible four-strategy quantum extensions of classical games","display_name":"Permissible four-strategy quantum extensions of classical games","publication_year":2025,"publication_date":"2025-06-30","ids":{"openalex":"https://openalex.org/W4411830990","doi":"https://doi.org/10.1007/s11128-025-04808-4"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-025-04808-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-025-04808-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-025-04808-4.pdf","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11128-025-04808-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001779840","display_name":"Piotr Fr\u0105ckiewicz","orcid":"https://orcid.org/0000-0003-0034-9803"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Fr\u0105ckiewicz","raw_affiliation_strings":["Institute of Exact and Technical Sciences, Pomeranian University in S\u0142upsk, Arciszewskiego 22A, 76-200, S\u0142upsk, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Exact and Technical Sciences, Pomeranian University in S\u0142upsk, Arciszewskiego 22A, 76-200, S\u0142upsk, Poland","institution_ids":["https://openalex.org/I4210137370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034032727","display_name":"Anna Gorczyca\u2013Goraj","orcid":"https://orcid.org/0000-0001-8222-0987"},"institutions":[{"id":"https://openalex.org/I188922065","display_name":"University of Economics in Katowice","ror":"https://ror.org/01vxt3d40","country_code":"PL","type":"education","lineage":["https://openalex.org/I188922065"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Anna Gorczyca-Goraj","raw_affiliation_strings":["Department of Operations Research, University of Economics, 1 Maja 50, 40-287, Katowice, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Operations Research, University of Economics, 1 Maja 50, 40-287, Katowice, Poland","institution_ids":["https://openalex.org/I188922065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003593429","display_name":"M. Szopa","orcid":"https://orcid.org/0000-0001-7897-7004"},"institutions":[{"id":"https://openalex.org/I188922065","display_name":"University of Economics in Katowice","ror":"https://ror.org/01vxt3d40","country_code":"PL","type":"education","lineage":["https://openalex.org/I188922065"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marek Szopa","raw_affiliation_strings":["Department of Operations Research, University of Economics, 1 Maja 50, 40-287, Katowice, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Operations Research, University of Economics, 1 Maja 50, 40-287, Katowice, Poland","institution_ids":["https://openalex.org/I188922065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034032727"],"corresponding_institution_ids":["https://openalex.org/I188922065"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":{"value":2040,"currency":"EUR","value_usd":2690},"fwci":1.8178,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.84818075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"24","issue":"7","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9972000122070312,"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":0.9948999881744385,"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":0.7288593053817749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.535785436630249},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5148541331291199},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3266963064670563},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.28476613759994507}],"concepts":[{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.7288593053817749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.535785436630249},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5148541331291199},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3266963064670563},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.28476613759994507}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-025-04808-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-025-04808-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-025-04808-4.pdf","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11128-025-04808-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-025-04808-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-025-04808-4.pdf","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411830990.pdf","grobid_xml":"https://content.openalex.org/works/W4411830990.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1990323808","https://openalex.org/W2019112050","https://openalex.org/W2034539720","https://openalex.org/W2041235998","https://openalex.org/W2049444673","https://openalex.org/W2067050450","https://openalex.org/W2132122264","https://openalex.org/W2166821901","https://openalex.org/W2517255324","https://openalex.org/W2793829449","https://openalex.org/W2953640035","https://openalex.org/W2992786140","https://openalex.org/W2999092874","https://openalex.org/W3024390146","https://openalex.org/W3095814776","https://openalex.org/W3098667604","https://openalex.org/W3102034668","https://openalex.org/W3113292347","https://openalex.org/W3154060763","https://openalex.org/W3209072835","https://openalex.org/W4234761190","https://openalex.org/W4236158019","https://openalex.org/W4251525635","https://openalex.org/W4283659768","https://openalex.org/W4293716739","https://openalex.org/W4308972086","https://openalex.org/W4388972236","https://openalex.org/W4392098433","https://openalex.org/W4401076860","https://openalex.org/W4405078775","https://openalex.org/W4406868987"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885"],"abstract_inverted_index":{"The":[0,73],"study":[1],"focuses":[2],"on":[3],"strategic-form":[4],"games":[5,56],"extended":[6],"in":[7,51,85],"the":[8,20,37,58],"Eisert\u2013Wilkens\u2013Lewenstein":[9],"scheme":[10],"by":[11],"two":[12],"unitary":[13,23],"operations.":[14],"Conditions":[15],"are":[16,43,80],"determined":[17],"under":[18,33],"which":[19,86],"pair":[21],"of":[22,36,55,78],"operators,":[24,49],"along":[25],"with":[26],"classical":[27,39],"strategies,":[28],"form":[29],"a":[30,62,67],"game":[31],"invariant":[32],"isomorphic":[34],"transformations":[35],"input":[38],"game.":[40],"These":[41],"conditions":[42],"then":[44],"applied":[45],"to":[46],"determine":[47],"these":[48],"resulting":[50],"five":[52],"main":[53],"classes":[54,77],"satisfying":[57],"isomorphism":[59],"criterion,":[60],"and":[61],"theorem":[63],"is":[64],"proved":[65],"providing":[66],"practical":[68],"criterion":[69],"for":[70],"this":[71],"isomorphism.":[72],"interdependencies":[74],"between":[75],"different":[76],"extensions":[79],"identified,":[81],"including":[82],"limit":[83],"cases":[84],"one":[87],"class":[88],"transforms":[89],"into":[90],"another.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}