{"id":"https://openalex.org/W7223090130","doi":"https://doi.org/10.48550/arxiv.2610.28089","title":"Quantum Limits of Blind Superresolution Imaging","display_name":"Quantum Limits of Blind Superresolution Imaging","publication_year":2026,"publication_date":"2026-10-20","ids":{"openalex":"https://openalex.org/W7223090130","doi":"https://doi.org/10.48550/arxiv.2610.28089"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.28089","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28089","pdf_url":"https://arxiv.org/pdf/2610.28089","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,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.28089","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5098922871","display_name":"Qiushuang Lian","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lian, Qiushuang","raw_affiliation_strings":["State Key Laboratory of Precision Measurement Technology and Instruments , Department of Precision Instrument , Tsinghua University , Beijing , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Measurement Technology and Instruments , Department of Precision Instrument , Tsinghua University , Beijing , China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159212304","display_name":"Jun Zhu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhu, Jun","raw_affiliation_strings":["State Key Laboratory of Precision Measurement Technology and Instruments , Department of Precision Instrument , Tsinghua University , Beijing , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Measurement Technology and Instruments , Department of Precision Instrument , Tsinghua University , Beijing , China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159220656","display_name":"Liangcai Cao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cao, Liangcai","raw_affiliation_strings":["State Key Laboratory of Precision Measurement Technology and Instruments , Department of Precision Instrument , Tsinghua University , Beijing , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Measurement Technology and Instruments , Department of Precision Instrument , Tsinghua University , Beijing , China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9922000169754028,"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"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9922000169754028,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.0017000000225380063,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.0013000000035390258,"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/quantum-parameter-estimation","display_name":"quantum parameter estimation","score":0.7850000262260437},{"id":"https://openalex.org/keywords/point-spread-function","display_name":"point spread function","score":0.734000027179718},{"id":"https://openalex.org/keywords/quantum-fisher-information","display_name":"quantum Fisher information","score":0.597000002861023},{"id":"https://openalex.org/keywords/semiparametric-estimation","display_name":"semiparametric estimation","score":0.6660000085830688},{"id":"https://openalex.org/keywords/symmetric-logarithmic-derivative","display_name":"symmetric logarithmic derivative","score":0.8989999890327454},{"id":"https://openalex.org/keywords/incoherent-sources","display_name":"incoherent sources","score":0.6549999713897705}],"concepts":[{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.6028000116348267},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5116000175476074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4878000020980835},{"id":"https://openalex.org/C194531419","wikidata":"https://www.wikidata.org/wiki/Q17104825","display_name":"Nuisance parameter","level":3,"score":0.4519999921321869},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4219000041484833},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.4097000062465668},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.40059998631477356},{"id":"https://openalex.org/C141239990","wikidata":"https://www.wikidata.org/wiki/Q957423","display_name":"Superresolution","level":3,"score":0.39750000834465027},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3714999854564667},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.3553999960422516},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.33629998564720154},{"id":"https://openalex.org/C159317903","wikidata":"https://www.wikidata.org/wiki/Q3198","display_name":"Photon","level":2,"score":0.33230000734329224},{"id":"https://openalex.org/C69179731","wikidata":"https://www.wikidata.org/wiki/Q510427","display_name":"Point spread function","level":2,"score":0.3260999917984009},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.323199987411499},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.32109999656677246},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.31929999589920044},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.30869999527931213},{"id":"https://openalex.org/C22984246","wikidata":"https://www.wikidata.org/wiki/Q7269058","display_name":"Quantum imaging","level":5,"score":0.3086000084877014},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3061999976634979},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.30140000581741333},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2892000079154968},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.28679999709129333},{"id":"https://openalex.org/C89143813","wikidata":"https://www.wikidata.org/wiki/Q17105423","display_name":"Quantum sensor","level":5,"score":0.2784000039100647},{"id":"https://openalex.org/C95466800","wikidata":"https://www.wikidata.org/wiki/Q1027298","display_name":"Quantum key distribution","level":3,"score":0.27129998803138733},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.2702000141143799},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C111996192","wikidata":"https://www.wikidata.org/wiki/Q7269075","display_name":"Quantum noise","level":3,"score":0.26159998774528503},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.25760000944137573},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.2563000023365021}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.28089","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28089","pdf_url":"https://arxiv.org/pdf/2610.28089","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,"listed_in":[],"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":"doi:10.48550/arxiv.2610.28089","doi":"https://doi.org/10.48550/arxiv.2610.28089","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.28089","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,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.28089","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28089","pdf_url":"https://arxiv.org/pdf/2610.28089","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,"listed_in":[],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1964572237","display_name":null,"funder_award_id":"62235009","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223090130.pdf","grobid_xml":"https://content.openalex.org/works/W7223090130.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W7160921033","https://openalex.org/W7170401803"],"related_works":["https://openalex.org/W7160921033","https://openalex.org/W7213923962","https://openalex.org/W4414972349","https://openalex.org/W4396882445","https://openalex.org/W2808814024","https://openalex.org/W7024254757","https://openalex.org/W4385323800","https://openalex.org/W2811299630","https://openalex.org/W2971059872","https://openalex.org/W7221837978"],"abstract_inverted_index":{"Quantum":[0],"estimation":[1],"has":[2],"shown":[3],"that":[4],"spatial-mode":[5],"measurements":[6],"can":[7],"avoid":[8],"Rayleigh's":[9],"curse,":[10],"but":[11],"the":[12,41,49,53,61,65,68,72,97,106,119],"fundamental":[13],"precision":[14],"limits":[15],"are":[16],"usually":[17],"formulated":[18],"for":[19,28,45],"a":[20,57,109,129],"known":[21],"point-spread":[22],"function":[23],"(PSF).":[24],"We":[25,82],"show":[26],"that,":[27],"two":[29,84],"equally":[30],"bright":[31],"incoherent":[32],"sources":[33],"sharing":[34],"an":[35],"unknown":[36],"static,":[37],"shift-invariant":[38],"complex-amplitude":[39],"response,":[40],"local":[42],"quantum":[43,58,99],"information":[44,100],"separation":[46,69],"is":[47],"exactly":[48],"same":[50],"as":[51],"in":[52,138],"known-PSF":[54],"case.":[55],"In":[56],"semiparametric":[59],"formulation,":[60],"equality":[62],"follows":[63],"from":[64],"orthogonality":[66],"of":[67],"score":[70],"to":[71,86],"nuisance":[73],"tangent":[74],"space":[75],"generated":[76],"by":[77],"all":[78],"admissible":[79],"PSF":[80,136],"perturbations.":[81],"propose":[83],"receivers":[85],"access":[87],"this":[88],"information:":[89],"momentum-resolved":[90],"Hong--Ou--Mandel":[91],"interference":[92],"(MR-HOM),":[93],"which":[94,116],"acquires":[95],"half":[96],"small-separation":[98],"per":[101],"signal":[102],"photon":[103],"without":[104,134],"reconstructing":[105],"PSF,":[107],"and":[108,141],"tomography-assisted":[110],"symmetric":[111],"logarithmic":[112],"derivative":[113],"receiver":[114],"(TA-SLD),":[115],"asymptotically":[117],"attains":[118],"full":[120],"bound":[121],"under":[122],"explicit":[123],"recovery":[124],"conditions.":[125],"These":[126],"results":[127],"provide":[128],"route":[130],"toward":[131],"blind":[132],"superresolution":[133],"prior":[135],"calibration":[137],"microscopy,":[139],"astronomy,":[140],"other":[142],"optical":[143],"imaging":[144],"systems":[145],"with":[146],"uncertain":[147],"responses.":[148]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-22T00:00:00"}