{"id":"https://openalex.org/W2973928377","doi":"https://doi.org/10.1109/anzcc47194.2019.8945608","title":"A Karhunen-Loeve Expansion for One-mode Open Quantum Harmonic Oscillators Using the Eigenbasis of the Two-point Commutator Kernel","display_name":"A Karhunen-Loeve Expansion for One-mode Open Quantum Harmonic Oscillators Using the Eigenbasis of the Two-point Commutator Kernel","publication_year":2019,"publication_date":"2019-11-01","ids":{"openalex":"https://openalex.org/W2973928377","doi":"https://doi.org/10.1109/anzcc47194.2019.8945608","mag":"2973928377"},"language":"en","primary_location":{"id":"doi:10.1109/anzcc47194.2019.8945608","is_oa":false,"landing_page_url":"https://doi.org/10.1109/anzcc47194.2019.8945608","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 Australian &amp; New Zealand Control Conference (ANZCC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1909.07377","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083313944","display_name":"Igor G. Vladimirov","orcid":"https://orcid.org/0000-0002-9355-4736"},"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":"Igor G. Vladimirov","raw_affiliation_strings":["Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science, Australian National University, Canberra, Acton, ACT, Australia","Australian National University, Canberra,Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science,Acton,ACT,Australia,2601"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science, Australian National University, Canberra, Acton, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Australian National University, Canberra,Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science,Acton,ACT,Australia,2601","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066781741","display_name":"M. R. James","orcid":"https://orcid.org/0000-0003-2821-0133"},"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":"Matthew R. James","raw_affiliation_strings":["Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science, Australian National University, Canberra, Acton, ACT, Australia","Australian National University, Canberra,Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science,Acton,ACT,Australia,2601"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science, Australian National University, Canberra, Acton, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Australian National University, Canberra,Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science,Acton,ACT,Australia,2601","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011597574","display_name":"Ian R. Petersen","orcid":"https://orcid.org/0000-0003-4856-9450"},"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":"Ian R. Petersen","raw_affiliation_strings":["Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science, Australian National University, Canberra, Acton, ACT, Australia","Australian National University, Canberra,Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science,Acton,ACT,Australia,2601"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science, Australian National University, Canberra, Acton, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Australian National University, Canberra,Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science,Acton,ACT,Australia,2601","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11018278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"179","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.995199978351593,"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":0.995199978351593,"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":0.9735000133514404,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9621000289916992,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6935722827911377},{"id":"https://openalex.org/keywords/quantum-harmonic-oscillator","display_name":"Quantum harmonic oscillator","score":0.6120626330375671},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.586183488368988},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.5803260207176208},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5442491173744202},{"id":"https://openalex.org/keywords/karhunen\u2013lo\u00e8ve-theorem","display_name":"Karhunen\u2013Lo\u00e8ve theorem","score":0.5155682563781738},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5103049278259277},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5063055753707886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4406314492225647},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.41396501660346985},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.375987708568573},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2655959725379944},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.10433810949325562}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6935722827911377},{"id":"https://openalex.org/C122332657","wikidata":"https://www.wikidata.org/wiki/Q677864","display_name":"Quantum harmonic oscillator","level":3,"score":0.6120626330375671},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.586183488368988},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.5803260207176208},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5442491173744202},{"id":"https://openalex.org/C109308471","wikidata":"https://www.wikidata.org/wiki/Q2046647","display_name":"Karhunen\u2013Lo\u00e8ve theorem","level":2,"score":0.5155682563781738},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5103049278259277},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5063055753707886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4406314492225647},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.41396501660346985},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.375987708568573},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2655959725379944},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.10433810949325562},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/anzcc47194.2019.8945608","is_oa":false,"landing_page_url":"https://doi.org/10.1109/anzcc47194.2019.8945608","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 Australian &amp; New Zealand Control Conference (ANZCC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1909.07377","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.07377","pdf_url":"https://arxiv.org/pdf/1909.07377","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/298207","is_oa":true,"landing_page_url":"http://hdl.handle.net/1885/298207","pdf_url":"https://openresearch-repository.anu.edu.au/bitstreams/32e0949b-1a7e-49db-b4a9-578be136bd60/download","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":"","raw_type":"Conference paper"},{"id":"mag:2973928377","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1909.07377","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/733799257","is_oa":false,"landing_page_url":"https://hdl.handle.net/1885/733799257","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":null,"raw_type":"Conference paper"},{"id":"doi:10.48550/arxiv.1909.07377","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1909.07377","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1909.07377","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.07377","pdf_url":"https://arxiv.org/pdf/1909.07377","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6100000143051147}],"awards":[{"id":"https://openalex.org/G3392305090","display_name":null,"funder_award_id":"-16-1-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3591598716","display_name":null,"funder_award_id":"FA2386","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5233979119","display_name":null,"funder_award_id":"FA2386-16-14065","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2973928377.pdf","grobid_xml":"https://content.openalex.org/works/W2973928377.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W273698207","https://openalex.org/W590278507","https://openalex.org/W1480564696","https://openalex.org/W1588255467","https://openalex.org/W1852611171","https://openalex.org/W1924633063","https://openalex.org/W1966995082","https://openalex.org/W1968514920","https://openalex.org/W2000271940","https://openalex.org/W2041919985","https://openalex.org/W2070389945","https://openalex.org/W2084265277","https://openalex.org/W2099259977","https://openalex.org/W2143349287","https://openalex.org/W2152430211","https://openalex.org/W2499409912","https://openalex.org/W2567165719","https://openalex.org/W2613408074","https://openalex.org/W2793607586","https://openalex.org/W2918985987","https://openalex.org/W2963889177","https://openalex.org/W2964066736","https://openalex.org/W2964228011","https://openalex.org/W2964340754","https://openalex.org/W4205571775","https://openalex.org/W4293242788","https://openalex.org/W6748292837","https://openalex.org/W6754639336","https://openalex.org/W6761135117"],"related_works":["https://openalex.org/W2998269572","https://openalex.org/W3046367967","https://openalex.org/W1959102411","https://openalex.org/W1608282373","https://openalex.org/W2964073324","https://openalex.org/W2519799946","https://openalex.org/W1615679852","https://openalex.org/W3100768445","https://openalex.org/W2032333081","https://openalex.org/W2734289321","https://openalex.org/W2006588573","https://openalex.org/W2012084514","https://openalex.org/W2761177411","https://openalex.org/W2521072826","https://openalex.org/W2291909367","https://openalex.org/W2029662923","https://openalex.org/W164880601","https://openalex.org/W2055297953","https://openalex.org/W2469319032","https://openalex.org/W2938079385"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"one-mode":[3,99],"open":[4,127],"quantum":[5,26,36,62,128],"harmonic":[6],"oscillators":[7],"with":[8,104],"a":[9,24,50,57],"pair":[10],"of":[11,44,60,65,77,90,94,126],"conjugate":[12],"position":[13],"and":[14,75],"momentum":[15],"variables":[16,68],"driven":[17],"by":[18,49],"vacuum":[19],"bosonic":[20],"fields":[21],"according":[22],"to":[23,113],"linear":[25],"stochastic":[27],"differential":[28],"equation.":[29],"Such":[30],"systems":[31],"model":[32],"cavity":[33],"resonators":[34],"in":[35,97],"optical":[37],"experiments.":[38],"Assuming":[39],"that":[40],"the":[41,45,61,66,78,91,98,105],"quadratic":[42],"Hamiltonian":[43],"oscillator":[46],"is":[47],"specified":[48],"positive":[51],"definite":[52],"energy":[53],"matrix,":[54],"we":[55],"consider":[56],"modified":[58],"version":[59],"Karhunen-Loeve":[63],"expansion":[64,72],"system":[67,85],"proposed":[69],"recently.":[70],"The":[71],"employs":[73],"eigenvalues":[74],"eigenfunctions":[76],"two-point":[79],"commutator":[80],"kernel":[81],"for":[82,123],"linearly":[83],"transformed":[84],"variables.":[86],"We":[87],"take":[88],"advantage":[89],"specific":[92],"structure":[93],"this":[95],"eigenbasis":[96],"case":[100],"(including":[101],"its":[102],"connection":[103],"classical":[106],"Ornstein-Uhlenbeck":[107],"process).":[108],"These":[109],"results":[110],"are":[111],"applied":[112],"computing":[114],"quadratic-exponential":[115],"cost":[116],"functionals":[117],"which":[118],"provide":[119],"robust":[120],"performance":[121],"criteria":[122],"risk-sensitive":[124],"control":[125],"systems.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
