{"id":"https://openalex.org/W2036189131","doi":"https://doi.org/10.1109/acc.2013.6580216","title":"On the preservation of commutation and anticommutation relations of n-level quantum systems","display_name":"On the preservation of commutation and anticommutation relations of n-level quantum systems","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2036189131","doi":"https://doi.org/10.1109/acc.2013.6580216","mag":"2036189131"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580216","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-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/A5005494593","display_name":"Luis A. Duffaut Espinosa","orcid":"https://orcid.org/0000-0003-4363-5375"},"institutions":[{"id":"https://openalex.org/I40053085","display_name":"Australian Defence Force Academy","ror":"https://ror.org/02j5s7g39","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I40053085","https://openalex.org/I4394709116"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Luis A. Duffaut Espinosa","raw_affiliation_strings":["School of Engineering and Information Technology, University of New South Wales, Australian Defence Force Academy, Canberra, ACT, Australia","School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Information Technology, University of New South Wales, Australian Defence Force Academy, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I40053085"]},{"raw_affiliation_string":"School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I40053085","https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068453479","display_name":"Zibo Miao","orcid":"https://orcid.org/0000-0001-9766-7837"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Z. Miao","raw_affiliation_strings":["Research School of Engineering, Australian National University, Canberra, ACT, Australia","Res. Sch. of Eng., Australian Nat. Univ., Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"Research School of Engineering, Australian National University, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Res. Sch. of Eng., Australian Nat. Univ., Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011597574","display_name":"Ian R. Petersen","orcid":"https://orcid.org/0000-0003-4856-9450"},"institutions":[{"id":"https://openalex.org/I40053085","display_name":"Australian Defence Force Academy","ror":"https://ror.org/02j5s7g39","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I40053085","https://openalex.org/I4394709116"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"I. R. Petersen","raw_affiliation_strings":["School of Engineering and Information Technology, University of New South Wales, Australian Defence Force Academy, Canberra, ACT, Australia","School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Information Technology, University of New South Wales, Australian Defence Force Academy, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I40053085"]},{"raw_affiliation_string":"School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I40053085","https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109088249","display_name":"Valery Ugrinovskii","orcid":null},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]},{"id":"https://openalex.org/I40053085","display_name":"Australian Defence Force Academy","ror":"https://ror.org/02j5s7g39","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I40053085","https://openalex.org/I4394709116"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"V. Ugrinovskii","raw_affiliation_strings":["University of New South Wales, Sydney, NSW, AU","School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"University of New South Wales, Sydney, NSW, AU","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I40053085","https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066781741","display_name":"M. R. James","orcid":"https://orcid.org/0000-0003-2821-0133"},"institutions":[{"id":"https://openalex.org/I4210096034","display_name":"Centre for Quantum Computation and Communication Technology","ror":"https://ror.org/00rnbty21","country_code":"AU","type":"facility","lineage":["https://openalex.org/I1337719021","https://openalex.org/I165143802","https://openalex.org/I2801453606","https://openalex.org/I4210096034","https://openalex.org/I4210132349"]},{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"M. R. James","raw_affiliation_strings":["ARC Centre for Quantum Computation and Communication Technology, Research School of Engineering, Australian National University, Canberra, ACT, Australia","ARC Centre for Quantum Comput. & Commun. Technol., Australian Nat. Univ., Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"ARC Centre for Quantum Computation and Communication Technology, Research School of Engineering, Australian National University, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I4210096034","https://openalex.org/I118347636"]},{"raw_affiliation_string":"ARC Centre for Quantum Comput. & Commun. Technol., Australian Nat. Univ., Canberra, ACT, Australia","institution_ids":["https://openalex.org/I4210096034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5005494593"],"corresponding_institution_ids":["https://openalex.org/I31746571","https://openalex.org/I40053085"],"apc_list":null,"apc_paid":null,"fwci":2.9654,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.91609844,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"11","issue":null,"first_page":"2539","last_page":"2543"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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/T10020","display_name":"Quantum Information and Cryptography","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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9998999834060669,"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":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/commutation","display_name":"Commutation","score":0.8095487356185913},{"id":"https://openalex.org/keywords/realizability","display_name":"Realizability","score":0.7588474154472351},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5820878744125366},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.474446177482605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4575360119342804},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.432561457157135},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3972175419330597},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.37028032541275024},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3617880940437317},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.35162365436553955},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34906238317489624}],"concepts":[{"id":"https://openalex.org/C2780147050","wikidata":"https://www.wikidata.org/wiki/Q5155085","display_name":"Commutation","level":3,"score":0.8095487356185913},{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.7588474154472351},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5820878744125366},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.474446177482605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4575360119342804},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.432561457157135},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3972175419330597},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37028032541275024},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3617880940437317},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.35162365436553955},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34906238317489624},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2013.6580216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580216","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/81341","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/81341","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the American Control Conference","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1510334497","https://openalex.org/W1645576070","https://openalex.org/W1977236108","https://openalex.org/W1980639333","https://openalex.org/W2000161411","https://openalex.org/W2009721327","https://openalex.org/W2036189131","https://openalex.org/W2070389945","https://openalex.org/W2084265277","https://openalex.org/W2097876164","https://openalex.org/W2119389186","https://openalex.org/W2134403289","https://openalex.org/W2202306979","https://openalex.org/W2244749167","https://openalex.org/W2499754680","https://openalex.org/W4240365672"],"related_works":["https://openalex.org/W1660209430","https://openalex.org/W641601600","https://openalex.org/W4214928146","https://openalex.org/W2021310371","https://openalex.org/W2006607623","https://openalex.org/W1254418835","https://openalex.org/W304936916","https://openalex.org/W2009910377","https://openalex.org/W3097983275","https://openalex.org/W3103453217"],"abstract_inverted_index":{"The":[0],"goal":[1],"of":[2,23,32,39,49,54,78],"this":[3],"paper":[4],"is":[5,58],"to":[6],"provide":[7],"conditions":[8,64],"under":[9],"which":[10],"a":[11],"quantum":[12,36,73],"stochastic":[13],"differential":[14],"equation":[15],"(QSDE)":[16],"preserves":[17],"the":[18,24,30,40,43,47,50,61,68],"commutation":[19,79],"and":[20,27,80],"anticommutation":[21,81],"relations":[22],"SU(n)":[25],"algebra,":[26],"thus":[28],"describes":[29],"evolution":[31],"an":[33],"open":[34,71],"n-level":[35,72],"system.":[37],"One":[38],"challenges":[41],"in":[42,46],"approach":[44],"lies":[45],"handling":[48],"so-called":[51],"anomaly":[52],"coefficients":[53],"SU(n).":[55],"Then,":[56],"it":[57],"shown":[59],"that":[60],"physical":[62],"realizability":[63],"recently":[65],"developed":[66],"by":[67],"authors":[69],"for":[70],"systems":[74],"also":[75],"imply":[76],"preservation":[77],"relations.":[82]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}