{"id":"https://openalex.org/W4408029996","doi":"https://doi.org/10.1109/tsp.2025.3546655","title":"Generalized Quantum State Tomography With Hybrid Denoising Priors","display_name":"Generalized Quantum State Tomography With Hybrid Denoising Priors","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4408029996","doi":"https://doi.org/10.1109/tsp.2025.3546655"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2025.3546655","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2025.3546655","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal 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/A5086442836","display_name":"Duoduo Xue","orcid":"https://orcid.org/0000-0002-6608-5700"},"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":"Duoduo Xue","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045342512","display_name":"Wenrui Dai","orcid":"https://orcid.org/0000-0003-2522-5778"},"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":"Wenrui Dai","raw_affiliation_strings":["Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073652872","display_name":"Ziyang Zheng","orcid":"https://orcid.org/0000-0001-9923-8016"},"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":"Ziyang Zheng","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100675587","display_name":"Chenglin Li","orcid":"https://orcid.org/0000-0003-2888-594X"},"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":"Chenglin Li","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016006337","display_name":"Junni Zou","orcid":"https://orcid.org/0000-0002-9694-9880"},"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":"Junni Zou","raw_affiliation_strings":["Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002494284","display_name":"Hongkai Xiong","orcid":"https://orcid.org/0000-0003-4552-0029"},"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":"Hongkai Xiong","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":1.396,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82429043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"73","issue":null,"first_page":"1532","last_page":"1548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9848999977111816,"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":0.9848999977111816,"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":0.9689000248908997,"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":0.9514999985694885,"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/prior-probability","display_name":"Prior probability","score":0.6194013357162476},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.6079902648925781},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5078051686286926},{"id":"https://openalex.org/keywords/quantum-tomography","display_name":"Quantum tomography","score":0.4921216368675232},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4080641269683838},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.396768718957901},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3932207226753235},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38410574197769165},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38169389963150024},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3376408517360687},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.3345367908477783},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.33014655113220215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30656275153160095},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14993080496788025},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11380204558372498}],"concepts":[{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.6194013357162476},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.6079902648925781},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5078051686286926},{"id":"https://openalex.org/C166834278","wikidata":"https://www.wikidata.org/wiki/Q4218494","display_name":"Quantum tomography","level":4,"score":0.4921216368675232},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4080641269683838},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.396768718957901},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3932207226753235},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38410574197769165},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38169389963150024},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3376408517360687},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3345367908477783},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.33014655113220215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30656275153160095},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14993080496788025},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11380204558372498},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2025.3546655","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2025.3546655","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1080903817","display_name":null,"funder_award_id":"62320106003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2048617456","display_name":null,"funder_award_id":"62301299","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2895017225","display_name":null,"funder_award_id":"U24A20251","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G376436071","display_name":null,"funder_award_id":"62401357","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6094063813","display_name":null,"funder_award_id":"62125109","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6263369104","display_name":null,"funder_award_id":"62431017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6308568386","display_name":null,"funder_award_id":"62401366","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7123918047","display_name":null,"funder_award_id":"62120106007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7931220373","display_name":null,"funder_award_id":"62371288","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":79,"referenced_works":["https://openalex.org/W1529624360","https://openalex.org/W1623348669","https://openalex.org/W1965555277","https://openalex.org/W1971384536","https://openalex.org/W2012895716","https://openalex.org/W2016258127","https://openalex.org/W2048695508","https://openalex.org/W2051669075","https://openalex.org/W2056370875","https://openalex.org/W2056385679","https://openalex.org/W2087416986","https://openalex.org/W2118492081","https://openalex.org/W2135178212","https://openalex.org/W2140336578","https://openalex.org/W2173044277","https://openalex.org/W2202775496","https://openalex.org/W2260322515","https://openalex.org/W2297975612","https://openalex.org/W2508457857","https://openalex.org/W2509193460","https://openalex.org/W2511406830","https://openalex.org/W2528697476","https://openalex.org/W2565722603","https://openalex.org/W2573726823","https://openalex.org/W2764035156","https://openalex.org/W2805167149","https://openalex.org/W2884037738","https://openalex.org/W2898121159","https://openalex.org/W2905968237","https://openalex.org/W2940425080","https://openalex.org/W2944084836","https://openalex.org/W2962819582","https://openalex.org/W2963498695","https://openalex.org/W2963784808","https://openalex.org/W2964215687","https://openalex.org/W2971898467","https://openalex.org/W2980744647","https://openalex.org/W2983929596","https://openalex.org/W2998521684","https://openalex.org/W2998993395","https://openalex.org/W3004838521","https://openalex.org/W3006025420","https://openalex.org/W3006823398","https://openalex.org/W3035383480","https://openalex.org/W3036000280","https://openalex.org/W3036863718","https://openalex.org/W3040455916","https://openalex.org/W3043936881","https://openalex.org/W3046632927","https://openalex.org/W3104481216","https://openalex.org/W3106257531","https://openalex.org/W3130438648","https://openalex.org/W3152780886","https://openalex.org/W3166090040","https://openalex.org/W3168156488","https://openalex.org/W3203111844","https://openalex.org/W3203366169","https://openalex.org/W3204153538","https://openalex.org/W4206245465","https://openalex.org/W4214513770","https://openalex.org/W4214717370","https://openalex.org/W4220834420","https://openalex.org/W4231570791","https://openalex.org/W4244393449","https://openalex.org/W4293811863","https://openalex.org/W4296836560","https://openalex.org/W4306925060","https://openalex.org/W4308203312","https://openalex.org/W4310897979","https://openalex.org/W4319990501","https://openalex.org/W4402842758","https://openalex.org/W6637178627","https://openalex.org/W6639321117","https://openalex.org/W6735307612","https://openalex.org/W6760820039","https://openalex.org/W6762438721","https://openalex.org/W6773521587","https://openalex.org/W6779358743","https://openalex.org/W6796710793"],"related_works":["https://openalex.org/W2082822469","https://openalex.org/W4319078274","https://openalex.org/W2000853058","https://openalex.org/W1753743211","https://openalex.org/W4289446081","https://openalex.org/W2994983057","https://openalex.org/W2965462801","https://openalex.org/W3100430039","https://openalex.org/W4387635615","https://openalex.org/W2333526197"],"abstract_inverted_index":{"Quantum":[0],"state":[1,12],"tomography":[2,49],"(QST)":[3],"is":[4,148],"the":[5,10,19,31,74,106,140,144,149,158],"gold":[6],"standard":[7],"for":[8,80,178],"estimating":[9],"unknown":[11],"of":[13,22,109,152,162,198],"quantum":[14,60,96,131,182,215],"systems":[15,61],"but":[16],"suffers":[17],"from":[18],"longstanding":[20],"problem":[21,32],"exponentially":[23],"growing":[24],"measurements.":[25],"Recent":[26],"deep":[27,77],"learning":[28,78],"approaches":[29],"alleviate":[30],"by":[33,54,202],"training":[34],"neural":[35,114],"networks":[36],"in":[37,48,65,125,184,196],"a":[38,130,135],"data-driven":[39],"manner":[40],"without":[41],"theoretical":[42],"convergence":[43,91,137],"guarantees.":[44],"They":[45],"lack":[46],"reliability":[47],"quality":[50],"and":[51,98,113,180,188,205,208],"are":[52,103],"restricted":[53],"retraining":[55],"when":[56,128],"generalized":[57,76],"to":[58,93],"extensive":[59,95],"with":[62,89,105,170],"varying":[63],"realizations":[64],"different":[66],"environments.":[67,99],"To":[68],"address":[69],"this":[70],"issue,":[71],"we":[72],"propose":[73],"first":[75],"method":[79],"QST,":[81],"named":[82],"HD-QST,":[83],"that":[84,143],"leverages":[85],"hybrid":[86],"denoising":[87,101],"priors":[88,102],"well-established":[90],"guarantees":[92,134],"fit":[94],"states":[97,183,201],"Hybrid":[100],"achieved":[104],"convex":[107],"combination":[108],"analytic":[110],"low-rank":[111],"denoiser":[112,117,155],"network-based":[115],"smooth":[116],"dynamically":[118],"determined":[119],"via":[120],"reinforcement":[121],"learning.":[122],"We":[123],"demonstrate":[124],"theory":[126],"that,":[127,168],"characterizing":[129],"system,":[132],"HD-QST":[133,173],"geometric":[136],"rate":[138],"under":[139],"relaxed":[141],"condition":[142],"true":[145],"density":[146],"matrix":[147],"fixed":[150,160],"point":[151,161],"any":[153],"one":[154],"rather":[156],"than":[157],"shared":[159],"multiple":[163],"denoisers.":[164],"Extensive":[165],"experiments":[166],"show":[167],"compared":[169],"existing":[171],"methods,":[172],"consistently":[174],"obtains":[175],"superior":[176],"fidelity":[177,195],"pure":[179],"mixed":[181],"both":[185],"single-device":[186],"simulations":[187],"cross-device":[189,211],"applications.":[190],"Remarkably,":[191],"it":[192],"achieves":[193],"state-of-the-art":[194],"QST":[197,212],"real-world":[199],"W":[200],"trapped":[203],"ions":[204],"precise":[206],"evaluation":[207],"comparison":[209],"on":[210,213],"IBM":[214],"computers.":[216]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}