{"id":"https://openalex.org/W2089822168","doi":"https://doi.org/10.1109/tac.2014.2322731","title":"Structures and Transformations for Model Reduction of Linear Quantum Stochastic Systems","display_name":"Structures and Transformations for Model Reduction of Linear Quantum Stochastic Systems","publication_year":2014,"publication_date":"2014-05-08","ids":{"openalex":"https://openalex.org/W2089822168","doi":"https://doi.org/10.1109/tac.2014.2322731","mag":"2089822168"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2322731","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2322731","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1308.6062","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064534342","display_name":"Hendra I. Nurdin","orcid":"https://orcid.org/0000-0002-5588-4259"},"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"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Hendra I. Nurdin","raw_affiliation_strings":["School of Electrical Engineering and Telecommunications, UNSW Australia, Sydney, NSW, Australia","Sch. of Electr. Eng. & Telecommun., UNSW Australia, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, UNSW Australia, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Telecommun., UNSW Australia, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064534342"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.1077015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"59","issue":"9","first_page":"2413","last_page":"2425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9983999729156494,"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":0.9983999729156494,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9947999715805054,"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/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9902999997138977,"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/realization","display_name":"Realization (probability)","score":0.5858417749404907},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4936922490596771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48960334062576294},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.45714807510375977},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.42604056000709534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32024121284484863},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.30766916275024414},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20400825142860413},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15808066725730896},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15767210721969604}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5858417749404907},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4936922490596771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48960334062576294},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.45714807510375977},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.42604056000709534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32024121284484863},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.30766916275024414},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20400825142860413},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15808066725730896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15767210721969604},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1109/tac.2014.2322731","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2322731","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1308.6062","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.6062","pdf_url":"https://arxiv.org/pdf/1308.6062","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"mag:2089822168","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1308.6062.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:unsworks.unsw.edu.au:1959.4/unsworks_39236","is_oa":true,"landing_page_url":"http://handle.unsw.edu.au/1959.4/unsworks_39236","pdf_url":null,"source":{"id":"https://openalex.org/S4377196481","display_name":"UNSWorks (UNSW Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31746571","host_organization_name":"UNSW Sydney","host_organization_lineage":["https://openalex.org/I31746571"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.765.3530","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.765.3530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1308.6062.pdf","raw_type":"text"},{"id":"pmh:oai:unsworks.library.unsw.edu.au:1959.4/unsworks_39236","is_oa":true,"landing_page_url":"http://hdl.handle.net/1959.4/unsworks_39236","pdf_url":null,"source":{"id":"https://openalex.org/S4306401737","display_name":"UNSWorks (University of New South Wales, Sydney, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40053085","host_organization_name":"Australian Defence Force Academy","host_organization_lineage":["https://openalex.org/I40053085"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 59, 9, 2413-2425","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"doi:10.48550/arxiv.1308.6062","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1308.6062","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1308.6062","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.6062","pdf_url":"https://arxiv.org/pdf/1308.6062","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1626834095","https://openalex.org/W1966456783","https://openalex.org/W1970138169","https://openalex.org/W1994386254","https://openalex.org/W1994439515","https://openalex.org/W1994605617","https://openalex.org/W1996639332","https://openalex.org/W2000383488","https://openalex.org/W2004235197","https://openalex.org/W2006905688","https://openalex.org/W2043350369","https://openalex.org/W2048576827","https://openalex.org/W2051296409","https://openalex.org/W2056230397","https://openalex.org/W2056972913","https://openalex.org/W2067070250","https://openalex.org/W2070389945","https://openalex.org/W2107087224","https://openalex.org/W2115681137","https://openalex.org/W2119389186","https://openalex.org/W2121930609","https://openalex.org/W2122406727","https://openalex.org/W2134326963","https://openalex.org/W2152430211","https://openalex.org/W2156456795","https://openalex.org/W2166876838","https://openalex.org/W2333041090","https://openalex.org/W2591799144","https://openalex.org/W2962840665","https://openalex.org/W2963527352","https://openalex.org/W2963862727","https://openalex.org/W3100023939","https://openalex.org/W3195133498","https://openalex.org/W6636433962","https://openalex.org/W6642682132"],"related_works":["https://openalex.org/W2964303341","https://openalex.org/W3100023939","https://openalex.org/W1497304411","https://openalex.org/W1724673150","https://openalex.org/W2012255770","https://openalex.org/W2164564439","https://openalex.org/W1974026728","https://openalex.org/W2962718458","https://openalex.org/W2484095428","https://openalex.org/W2964330130","https://openalex.org/W1945942453","https://openalex.org/W2499754680","https://openalex.org/W2276757748","https://openalex.org/W2117423444","https://openalex.org/W2218061220","https://openalex.org/W1947985272","https://openalex.org/W2045570978","https://openalex.org/W2765387655","https://openalex.org/W1605623950","https://openalex.org/W1543368266"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,43,57,66,92,147,151,157],"this":[3],"paper":[4],"is":[5,47,69,110,120,138],"to":[6,140],"develop":[7],"a":[8,83,133,155],"model":[9,142],"reduction":[10,143],"theory":[11],"for":[12,112],"linear":[13,58,76,114,128],"quantum":[14,22,40,59,77,115,129],"stochastic":[15,60,78,116,130],"systems":[16,79,117,131],"that":[17,49,63,122],"are":[18,97,104],"commonly":[19],"encountered":[20],"in":[21,144],"optics":[23],"and":[24,33,62,99,101,118],"related":[25],"fields,":[26],"modeling":[27],"devices":[28],"such":[29,44],"as":[30,37,39],"optical":[31,34,149,158],"cavities":[32],"parametric":[35],"amplifiers,":[36],"well":[38],"networks":[41],"composed":[42],"devices.":[45],"It":[46],"shown":[48,121],"subsystem":[50,72],"truncation":[51,107],"preserves":[52],"the":[53,64,145],"physical":[54],"realizability":[55],"property":[56,65],"systems,":[61],"complete":[67],"passivity":[68],"invariant":[70],"under":[71,86],"truncation.":[73],"However,":[74],"generic":[75],"need":[80],"not":[81],"have":[82,132],"balanced":[84],"realization":[85],"symplectic":[87],"transformations.":[88],"Therefore,":[89],"alternative":[90],"notions":[91],"balancing,":[93],"including":[94],"so-called":[95],"quasi-balancing,":[96],"developed,":[98],"necessary":[100],"sufficient":[102],"conditions":[103],"derived.":[105],"A":[106],"error":[108],"bound":[109],"derived":[111],"quasi-balanceable":[113],"it":[119],"all":[123],"asymptotically":[124],"stable":[125],"completely":[126],"passive":[127],"quasi-balanced":[134],"realization.":[135],"An":[136],"example":[137],"provided":[139],"illustrate":[141],"context":[146],"low-pass":[148],"filtering":[150],"coherent":[152],"light":[153],"using":[154],"network":[156],"cavities.":[159]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
