{"id":"https://openalex.org/W2214724883","doi":"https://doi.org/10.1103/physrevlett.115.263901","title":"Optimal Frames for Polarization State Reconstruction","display_name":"Optimal Frames for Polarization State Reconstruction","publication_year":2015,"publication_date":"2015-12-23","ids":{"openalex":"https://openalex.org/W2214724883","doi":"https://doi.org/10.1103/physrevlett.115.263901","mag":"2214724883","pmid":"https://pubmed.ncbi.nlm.nih.gov/26764991"},"language":"en","primary_location":{"id":"doi:10.1103/physrevlett.115.263901","doi":"https://doi.org/10.1103/physrevlett.115.263901","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.115.263901","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1506.06625","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013640010","display_name":"Matthew R. Foreman","orcid":"https://orcid.org/0000-0001-5864-9636","observed_orcids":["https://orcid.org/0000-0001-5864-9636"]},"institutions":[{"id":"https://openalex.org/I4210110240","display_name":"Max Planck Institute for the Science of Light","ror":"https://ror.org/020as7681","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210110240"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthew R. Foreman","raw_affiliation_strings":["Max Planck Institute for the Science of Light, G\u00fcnther-Scharowsky-Stra\u00dfe 1, 91058 Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for the Science of Light, G\u00fcnther-Scharowsky-Stra\u00dfe 1, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I4210110240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017408320","display_name":"Alberto Favaro","orcid":"https://orcid.org/0000-0002-9143-0393","observed_orcids":["https://orcid.org/0000-0002-9143-0393"]},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alberto Favaro","raw_affiliation_strings":["Blackett Laboratory, Department of Physics, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Blackett Laboratory, Department of Physics, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059770180","display_name":"Andrea Aiello","orcid":"https://orcid.org/0000-0003-1647-0448","observed_orcids":["https://orcid.org/0000-0003-1647-0448"]},"institutions":[{"id":"https://openalex.org/I4210110240","display_name":"Max Planck Institute for the Science of Light","ror":"https://ror.org/020as7681","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210110240"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andrea Aiello","raw_affiliation_strings":["Max Planck Institute for the Science of Light, G\u00fcnther-Scharowsky-Stra\u00dfe 1, 91058 Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for the Science of Light, G\u00fcnther-Scharowsky-Stra\u00dfe 1, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I4210110240"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":3.7004,"has_fulltext":true,"cited_by_count":94,"citation_normalized_percentile":{"value":0.9389313,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"115","issue":"26","first_page":"263901","last_page":"263901"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12050","display_name":"Optical Polarization and Ellipsometry","score":0.9082000255584717,"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/T12050","display_name":"Optical Polarization and Ellipsometry","score":0.9082000255584717,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.052299998700618744,"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/T10490","display_name":"Orbital Angular Momentum in Optics","score":0.013299999758601189,"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/stokes-vector","display_name":"Stokes vector","score":0.8539999723434448},{"id":"https://openalex.org/keywords/condition-number-minimization","display_name":"condition number minimization","score":0.902999997138977},{"id":"https://openalex.org/keywords/poincare-sphere","display_name":"Poincar\u00e9 sphere","score":0.8769999742507935},{"id":"https://openalex.org/keywords/platonic-solids","display_name":"Platonic solids","score":0.9660000205039978},{"id":"https://openalex.org/keywords/mutually-unbiased-bases","display_name":"mutually unbiased bases","score":0.8899999856948853},{"id":"https://openalex.org/keywords/quantum-state-tomography","display_name":"quantum state tomography","score":0.5559999942779541}],"concepts":[{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.5516682863235474},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41708946228027344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39146727323532104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38629353046417236},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36867934465408325},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2674810588359833},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1103/physrevlett.115.263901","doi":"https://doi.org/10.1103/physrevlett.115.263901","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.115.263901","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},{"id":"pmid:26764991","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26764991","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review letters","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1506.06625","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.06625","pdf_url":"https://arxiv.org/pdf/1506.06625","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":"pmh:oai:pure.mpg.de:item_2370456","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-002D-6334-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PHYSICAL REVIEW LETTERS","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/33395","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/33395","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"doi:10.48550/arxiv.1506.06625","doi":"https://doi.org/10.48550/arxiv.1506.06625","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1506.06625","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1506.06625","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.06625","pdf_url":"https://arxiv.org/pdf/1506.06625","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":[],"funders":[{"id":"https://openalex.org/F4320306202","display_name":"Gordon and Betty Moore Foundation","ror":"https://ror.org/006wxqw41"},{"id":"https://openalex.org/F4320322434","display_name":"Max-Planck-Gesellschaft","ror":"https://ror.org/01hhn8329"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2214724883.pdf","grobid_xml":"https://content.openalex.org/works/W2214724883.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W114563021","https://openalex.org/W1509033957","https://openalex.org/W1654874280","https://openalex.org/W1756079938","https://openalex.org/W1965084456","https://openalex.org/W1966777375","https://openalex.org/W1967025766","https://openalex.org/W1971141131","https://openalex.org/W1972092797","https://openalex.org/W1982488706","https://openalex.org/W1985132689","https://openalex.org/W1994404919","https://openalex.org/W1995217630","https://openalex.org/W2001599719","https://openalex.org/W2001761510","https://openalex.org/W2003895198","https://openalex.org/W2004766531","https://openalex.org/W2009131660","https://openalex.org/W2019366876","https://openalex.org/W2020686016","https://openalex.org/W2023932538","https://openalex.org/W2026688591","https://openalex.org/W2033437505","https://openalex.org/W2039397277","https://openalex.org/W2050146717","https://openalex.org/W2060544541","https://openalex.org/W2071912526","https://openalex.org/W2074559944","https://openalex.org/W2080161158","https://openalex.org/W2093117929","https://openalex.org/W2093676263","https://openalex.org/W2109329970","https://openalex.org/W2113003594","https://openalex.org/W2117845705","https://openalex.org/W2124003092","https://openalex.org/W2124319519","https://openalex.org/W2152781959","https://openalex.org/W2162320301","https://openalex.org/W2168328601","https://openalex.org/W2319466955","https://openalex.org/W2584020404","https://openalex.org/W4240837394","https://openalex.org/W4253277214"],"related_works":["https://openalex.org/W2918835912","https://openalex.org/W3024543124","https://openalex.org/W2081485606","https://openalex.org/W2806077890","https://openalex.org/W7117709424","https://openalex.org/W2323515385","https://openalex.org/W4317603972","https://openalex.org/W67339669","https://openalex.org/W2371729512","https://openalex.org/W3093888813"],"abstract_inverted_index":{"Complete":[0],"determination":[1],"of":[2,6,15,21,31,37,45,57,59,73,84,130,149,152],"the":[3,16,27,32,55,85,90,103,150],"polarization":[4,111],"state":[5,22],"light":[7],"requires":[8],"at":[9],"least":[10],"four":[11],"distinct":[12],"projective":[13],"measurements":[14],"associated":[17],"Stokes":[18],"vector.":[19],"Stability":[20],"reconstruction,":[23],"however,":[24],"hinges":[25],"on":[26],"condition":[28],"number":[29,44],"\u03ba":[30,64],"corresponding":[33],"instrument":[34],"matrix.":[35],"Optimization":[36],"redundant":[38],"measurement":[39,125],"frames":[40],"with":[41],"an":[42],"arbitrary":[43],"analysis":[46,87],"states,":[47],"m,":[48,74],"is":[49,65,81,93],"considered":[50,136],"in":[51,54,118],"this":[52,79],"Letter":[53],"sense":[56],"minimization":[58],"\u03ba.":[60],"The":[61],"minimum":[62,80],"achievable":[63],"analytically":[66],"found":[67,94,138],"and":[68,121,137],"shown":[69],"to":[70,95,139,141],"be":[71,96],"independent":[72],"except":[75],"for":[76,127],"m=5":[77],"where":[78],"unachievable.":[82],"Distribution":[83],"optimal":[86],"states":[88],"over":[89],"Poincar\u00e9":[91],"sphere":[92],"described":[97],"by":[98],"spherical":[99,142],"2":[100],"designs,":[101,144],"including":[102],"Platonic":[104],"solids":[105],"as":[106],"special":[107],"cases.":[108],"Higher":[109],"order":[110],"properties":[112],"also":[113,135],"play":[114],"a":[115,147],"key":[116],"role":[117],"nonlinear,":[119],"stochastic,":[120],"quantum":[122],"processes.":[123],"Optimal":[124],"schemes":[126],"nonlinear":[128],"measurands":[129],"degree":[131],"t":[132],"are":[133],"hence":[134],"correspond":[140],"2t":[143],"thereby":[145],"constituting":[146],"generalization":[148],"concept":[151],"mutually":[153],"unbiased":[154],"bases.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}