{"id":"https://openalex.org/W4362722779","doi":"https://doi.org/10.1007/s11128-023-03913-6","title":"Zero entries distribution in a unitary matrix","display_name":"Zero entries distribution in a unitary matrix","publication_year":2023,"publication_date":"2023-04-08","ids":{"openalex":"https://openalex.org/W4362722779","doi":"https://doi.org/10.1007/s11128-023-03913-6"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-023-03913-6","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s11128-023-03913-6","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":["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/A5100638200","display_name":"Shaomin Liu","orcid":"https://orcid.org/0000-0003-3627-9288"},"institutions":[{"id":"https://openalex.org/I70908550","display_name":"Anhui Polytechnic University","ror":"https://ror.org/041sj0284","country_code":"CN","type":"education","lineage":["https://openalex.org/I70908550"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shaomin Liu","raw_affiliation_strings":["School of Mathematics, Physics and Finance, Anhui Polytechnic University, Wuhu, 241000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Physics and Finance, Anhui Polytechnic University, Wuhu, 241000, China","institution_ids":["https://openalex.org/I70908550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043051946","display_name":"Changchun Feng","orcid":"https://orcid.org/0000-0002-1544-8874"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changchun Feng","raw_affiliation_strings":["LMIB(Beihang University), Ministry of Education, and School of Mathematical Sciences, Beihang University, Beijing, 100191, China"],"raw_orcid":"https://orcid.org/0000-0002-1544-8874","affiliations":[{"raw_affiliation_string":"LMIB(Beihang University), Ministry of Education, and School of Mathematical Sciences, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100443769","display_name":"Lin Chen","orcid":"https://orcid.org/0000-0002-8367-3651"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Chen","raw_affiliation_strings":["International Research Institute for Multidisciplinary Science, Beihang University, Beijing, 100191, China","LMIB(Beihang University), Ministry of Education, and School of Mathematical Sciences, Beihang University, Beijing, 100191, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Research Institute for Multidisciplinary Science, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"LMIB(Beihang University), Ministry of Education, and School of Mathematical Sciences, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100638200"],"corresponding_institution_ids":["https://openalex.org/I70908550"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03135487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9987000226974487,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9987000226974487,"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":0.9976999759674072,"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/T10232","display_name":"Optical Network Technologies","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.8645840883255005},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.8123674392700195},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.7214316725730896},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5913559198379517},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5745017528533936},{"id":"https://openalex.org/keywords/circular-ensemble","display_name":"Circular ensemble","score":0.5154460072517395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5106554627418518},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4527674913406372},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35423389077186584},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32439255714416504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24618330597877502},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1594124436378479},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.05514928698539734}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.8645840883255005},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.8123674392700195},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7214316725730896},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5913559198379517},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5745017528533936},{"id":"https://openalex.org/C11902944","wikidata":"https://www.wikidata.org/wiki/Q5121662","display_name":"Circular ensemble","level":4,"score":0.5154460072517395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5106554627418518},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4527674913406372},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35423389077186584},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32439255714416504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24618330597877502},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1594124436378479},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05514928698539734},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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":1,"locations":[{"id":"doi:10.1007/s11128-023-03913-6","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s11128-023-03913-6","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7355163449","display_name":null,"funder_award_id":"Grant No. ZG216S2005","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1975417454","https://openalex.org/W1977997915","https://openalex.org/W1978553093","https://openalex.org/W1986556555","https://openalex.org/W2024108118","https://openalex.org/W2035288980","https://openalex.org/W2052783597","https://openalex.org/W2076476236","https://openalex.org/W2080967125","https://openalex.org/W2122285124","https://openalex.org/W2132641463","https://openalex.org/W2169515672","https://openalex.org/W2170449944","https://openalex.org/W2315347461","https://openalex.org/W2471212001","https://openalex.org/W2567189331","https://openalex.org/W2764347725","https://openalex.org/W2907779122","https://openalex.org/W3185733987"],"related_works":["https://openalex.org/W2028559259","https://openalex.org/W4313483631","https://openalex.org/W1999313313","https://openalex.org/W2090846666","https://openalex.org/W4387974949","https://openalex.org/W2499716529","https://openalex.org/W4293832529","https://openalex.org/W2044176161","https://openalex.org/W1568150511","https://openalex.org/W343679462"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
