{"id":"https://openalex.org/W4315488997","doi":"https://doi.org/10.1109/cdc51059.2022.9992920","title":"Two-stage solution of quantum process tomography in the natural basis","display_name":"Two-stage solution of quantum process tomography in the natural basis","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315488997","doi":"https://doi.org/10.1109/cdc51059.2022.9992920"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9992920","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992920","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5076115666","display_name":"Shuixin Xiao","orcid":"https://orcid.org/0000-0002-9844-4069"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]},{"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","CN"],"is_corresponding":false,"raw_author_name":"Shuixin Xiao","raw_affiliation_strings":["University of New South Wales,School of Engineering and Information Technology,Canberra ACT,Australia,2600","UMich-SJTU Joint Institute, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of New South Wales,School of Engineering and Information Technology,Canberra ACT,Australia,2600","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"]},{"raw_affiliation_string":"UMich-SJTU Joint Institute, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101720886","display_name":"Yuanlong Wang","orcid":"https://orcid.org/0000-0001-7340-5971"},"institutions":[{"id":"https://openalex.org/I11701301","display_name":"Griffith University","ror":"https://ror.org/02sc3r913","country_code":"AU","type":"education","lineage":["https://openalex.org/I11701301"]},{"id":"https://openalex.org/I1337719021","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86","country_code":"AU","type":"government","lineage":["https://openalex.org/I1337719021","https://openalex.org/I2801453606","https://openalex.org/I4210132349"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"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/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"Yuanlong Wang","raw_affiliation_strings":["Chinese Academy of Sciences,Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science,Beijing,China,100190","Centre for Quantum Computation and Communication Technology (Australian Research Council), Centre for Quantum Dynamics, Griffith University, Brisbane, Queensland, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences,Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science,Beijing,China,100190","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"Centre for Quantum Computation and Communication Technology (Australian Research Council), Centre for Quantum Dynamics, Griffith University, Brisbane, Queensland, Australia","institution_ids":["https://openalex.org/I11701301","https://openalex.org/I1337719021","https://openalex.org/I4210096034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000582423","display_name":"Daoyi Dong","orcid":"https://orcid.org/0000-0002-7425-3559"},"institutions":[{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]},{"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":"Daoyi Dong","raw_affiliation_strings":["University of New South Wales,School of Engineering and Information Technology,Canberra ACT,Australia,2600"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of New South Wales,School of Engineering and Information Technology,Canberra ACT,Australia,2600","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115591442","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0002-3067-2620"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Shanghai Jiao Tong University,UMich-SJTU Joint Institute,Shanghai,China,200240"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University,UMich-SJTU Joint Institute,Shanghai,China,200240","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5807","last_page":"5812"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"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":0.9993000030517578,"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":0.9911999702453613,"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/dimension","display_name":"Dimension (graph theory)","score":0.6562496423721313},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6155925989151001},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5783681869506836},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.5362792015075684},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5261535048484802},{"id":"https://openalex.org/keywords/quantum-process","display_name":"Quantum process","score":0.5234034657478333},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.487250953912735},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.45902520418167114},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.43916428089141846},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.43107423186302185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.428332656621933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3533981442451477},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3524344563484192},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31962019205093384},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3067800998687744},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.1330426037311554},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11240661144256592}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6562496423721313},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6155925989151001},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5783681869506836},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5362792015075684},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5261535048484802},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.5234034657478333},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.487250953912735},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.45902520418167114},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.43916428089141846},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.43107423186302185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.428332656621933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3533981442451477},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3524344563484192},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31962019205093384},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3067800998687744},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.1330426037311554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11240661144256592},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc51059.2022.9992920","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992920","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320338298","display_name":"Office of Naval Research Global","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1539883696","https://openalex.org/W1965928854","https://openalex.org/W1984964553","https://openalex.org/W1988974364","https://openalex.org/W2011260430","https://openalex.org/W2025699799","https://openalex.org/W2031810341","https://openalex.org/W2049911843","https://openalex.org/W2050510361","https://openalex.org/W2071912526","https://openalex.org/W2075892056","https://openalex.org/W2078116645","https://openalex.org/W2078439793","https://openalex.org/W2086187371","https://openalex.org/W2086429680","https://openalex.org/W2091466644","https://openalex.org/W2094366212","https://openalex.org/W2107274022","https://openalex.org/W2113642685","https://openalex.org/W2117302943","https://openalex.org/W2125068982","https://openalex.org/W2136265395","https://openalex.org/W2159530242","https://openalex.org/W2170608991","https://openalex.org/W2178935672","https://openalex.org/W2287577556","https://openalex.org/W2288761110","https://openalex.org/W2337756854","https://openalex.org/W2525712848","https://openalex.org/W2539509463","https://openalex.org/W2738176089","https://openalex.org/W2885524002","https://openalex.org/W2891975265","https://openalex.org/W2898493164","https://openalex.org/W2908358343","https://openalex.org/W2946009188","https://openalex.org/W2946810441","https://openalex.org/W2969378260","https://openalex.org/W2990961515","https://openalex.org/W3003286839","https://openalex.org/W3037447387","https://openalex.org/W3100137886","https://openalex.org/W3100151433","https://openalex.org/W3100618497","https://openalex.org/W3102961503","https://openalex.org/W3112045103","https://openalex.org/W3156415988","https://openalex.org/W3173917571","https://openalex.org/W4210763642","https://openalex.org/W4220994303","https://openalex.org/W4221159779","https://openalex.org/W4224246473","https://openalex.org/W4239873278"],"related_works":["https://openalex.org/W2409877639","https://openalex.org/W4388704119","https://openalex.org/W2910123824","https://openalex.org/W4213379151","https://openalex.org/W3206120658","https://openalex.org/W1889203613","https://openalex.org/W4281550036","https://openalex.org/W2035510778","https://openalex.org/W2766195849","https://openalex.org/W2158634152"],"abstract_inverted_index":{"Quantum":[0],"process":[1],"tomography":[2],"(QPT)":[3],"is":[4,48,67],"a":[5,80],"critical":[6],"task":[7],"for":[8,30,71],"characterizing":[9],"the":[10,33,49,52,68,85],"dynamics":[11],"of":[12,51,87],"quantum":[13,18,53],"systems":[14],"and":[15],"achieving":[16],"precise":[17],"control.":[19],"In":[20],"this":[21],"paper,":[22],"we":[23],"propose":[24],"an":[25,57],"effective":[26],"two-stage":[27],"solution":[28],"(TSS)":[29],"QPT":[31],"in":[32],"natural":[34],"basis.":[35],"Our":[36],"algorithm":[37,83],"has":[38],"O(d":[39],"<sup":[40],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">6</sup>":[42],")":[43],"computational":[44],"complexity":[45],"where":[46,65],"d":[47],"dimension":[50],"system.":[54],"We":[55],"establish":[56],"error":[58],"bound":[59],"$O\\left(":[60],"{\\frac{{{d^5}}}{{\\sqrt":[61],"N":[62,66],"}}}":[63],"\\right)$":[64],"copy":[69],"number":[70],"each":[72],"output":[73],"state.":[74],"The":[75],"numerical":[76],"examples":[77],"compared":[78],"with":[79],"convex":[81],"optimization":[82],"demonstrate":[84],"effectiveness":[86],"our":[88],"algorithm.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}