{"id":"https://openalex.org/W4400246522","doi":"https://doi.org/10.1007/s42484-024-00168-x","title":"Quantum state reconstruction in a noisy environment via deep learning","display_name":"Quantum state reconstruction in a noisy environment via deep learning","publication_year":2024,"publication_date":"2024-07-02","ids":{"openalex":"https://openalex.org/W4400246522","doi":"https://doi.org/10.1007/s42484-024-00168-x"},"language":"en","primary_location":{"id":"doi:10.1007/s42484-024-00168-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-024-00168-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-024-00168-x.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s42484-024-00168-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092926023","display_name":"Angela Rosy Morgillo","orcid":"https://orcid.org/0009-0006-6142-0692"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]},{"id":"https://openalex.org/I4210109533","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Pavia","ror":"https://ror.org/01st30669","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210109533"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Angela Rosy Morgillo","raw_affiliation_strings":["Dipartimento di Fisica, University of Pavia, Via Bassi 6, Pavia, I-27100, Italy","INFN Sezione di Pavia, Via Bassi 6, Pavia, I-27100, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, University of Pavia, Via Bassi 6, Pavia, I-27100, Italy","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"INFN Sezione di Pavia, Via Bassi 6, Pavia, I-27100, Italy","institution_ids":["https://openalex.org/I4210109533"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012716161","display_name":"Stefano Mangini","orcid":"https://orcid.org/0000-0002-0056-0660"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]},{"id":"https://openalex.org/I2800229700","display_name":"Helsinki Institute of Physics","ror":"https://ror.org/01x2x1522","country_code":"FI","type":"facility","lineage":["https://openalex.org/I133731052","https://openalex.org/I2800229700","https://openalex.org/I63548447","https://openalex.org/I94722563","https://openalex.org/I9927081"]},{"id":"https://openalex.org/I4210109533","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Pavia","ror":"https://ror.org/01st30669","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210109533"]},{"id":"https://openalex.org/I75655653","display_name":"Finnish Transport Agency","ror":"https://ror.org/00hef7f20","country_code":"FI","type":"other","lineage":["https://openalex.org/I1284112523","https://openalex.org/I75655653"]}],"countries":["FI","IT"],"is_corresponding":false,"raw_author_name":"Stefano Mangini","raw_affiliation_strings":["Algorithmiq Ltd, Kanavakatu 3C, 00160, Helsinki, Finland","Dipartimento di Fisica, University of Pavia, Via Bassi 6, Pavia, I-27100, Italy","INFN Sezione di Pavia, Via Bassi 6, Pavia, I-27100, Italy","QTF Centre of Excellence, Department of Physics, University of Helsinki, P.O. Box 43, FI-00014, Helsinki, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algorithmiq Ltd, Kanavakatu 3C, 00160, Helsinki, Finland","institution_ids":["https://openalex.org/I75655653"]},{"raw_affiliation_string":"Dipartimento di Fisica, University of Pavia, Via Bassi 6, Pavia, I-27100, Italy","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"INFN Sezione di Pavia, Via Bassi 6, Pavia, I-27100, Italy","institution_ids":["https://openalex.org/I4210109533"]},{"raw_affiliation_string":"QTF Centre of Excellence, Department of Physics, University of Helsinki, P.O. Box 43, FI-00014, Helsinki, Finland","institution_ids":["https://openalex.org/I2800229700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084121392","display_name":"Marco Piastra","orcid":"https://orcid.org/0000-0003-2556-5254"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Piastra","raw_affiliation_strings":["Dipartimento di Ingegneria Industriale e dell\u2019Informazione, Universit\u00e0 di Pavia, Via Ferrata 5, Pavia, I-27100, Italy","Dipartimento di Ingegneria Industriale e dell'Informazione, Universit\u00e0 di Pavia, Via Ferrata 5, Pavia, I-27100, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale e dell\u2019Informazione, Universit\u00e0 di Pavia, Via Ferrata 5, Pavia, I-27100, Italy","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale e dell'Informazione, Universit\u00e0 di Pavia, Via Ferrata 5, Pavia, I-27100, Italy","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075206338","display_name":"Chiara Macchiavello","orcid":"https://orcid.org/0000-0002-2955-8759"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]},{"id":"https://openalex.org/I4210109533","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Pavia","ror":"https://ror.org/01st30669","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210109533"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Chiara Macchiavello","raw_affiliation_strings":["Dipartimento di Fisica, University of Pavia, Via Bassi 6, Pavia, I-27100, Italy","INFN Sezione di Pavia, Via Bassi 6, Pavia, I-27100, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, University of Pavia, Via Bassi 6, Pavia, I-27100, Italy","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"INFN Sezione di Pavia, Via Bassi 6, Pavia, I-27100, Italy","institution_ids":["https://openalex.org/I4210109533"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5092926023"],"corresponding_institution_ids":["https://openalex.org/I25217355","https://openalex.org/I4210109533"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.5734,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8542947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"6","issue":"2","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":0.9998999834060669,"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":0.9998999834060669,"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/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/T12611","display_name":"Neural Networks and Reservoir Computing","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"}}],"keywords":[{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.6745705008506775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5397236347198486},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5349895358085632},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.46622729301452637},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.46320071816444397},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4610750675201416},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.4367189407348633},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36284685134887695},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26809775829315186},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2311861515045166}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.6745705008506775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5397236347198486},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5349895358085632},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.46622729301452637},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.46320071816444397},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4610750675201416},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.4367189407348633},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36284685134887695},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26809775829315186},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2311861515045166}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s42484-024-00168-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-024-00168-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-024-00168-x.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:oar:7ppyb-gx333","is_oa":true,"landing_page_url":"https://inspirehep.net/literature/2701269","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum Machine Intelligence, 6(2024), 2, 39, (2024-07-02)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s42484-024-00168-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-024-00168-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-024-00168-x.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5784736367","display_name":null,"funder_award_id":"PE0000023-NQSTI","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"}],"funders":[{"id":"https://openalex.org/F4320322874","display_name":"Universit\u00e0 degli Studi di Pavia","ror":"https://ror.org/00s6t1f81"},{"id":"https://openalex.org/F4320330828","display_name":"QuantERA","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400246522.pdf","grobid_xml":"https://content.openalex.org/works/W4400246522.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1978864992","https://openalex.org/W1988155384","https://openalex.org/W1992996794","https://openalex.org/W1996915994","https://openalex.org/W2046351805","https://openalex.org/W2049774351","https://openalex.org/W2052891110","https://openalex.org/W2137983211","https://openalex.org/W2147632348","https://openalex.org/W2194775991","https://openalex.org/W2777002409","https://openalex.org/W2895860665","https://openalex.org/W2911955207","https://openalex.org/W2923370183","https://openalex.org/W2942486667","https://openalex.org/W2953343412","https://openalex.org/W2957821713","https://openalex.org/W2980744647","https://openalex.org/W2989847975","https://openalex.org/W2990961515","https://openalex.org/W3010571098","https://openalex.org/W3028056599","https://openalex.org/W3037303154","https://openalex.org/W3093493500","https://openalex.org/W3095412784","https://openalex.org/W3097999675","https://openalex.org/W3102287617","https://openalex.org/W3103020934","https://openalex.org/W3104941540","https://openalex.org/W3105698959","https://openalex.org/W3106214064","https://openalex.org/W3108564514","https://openalex.org/W3112338261","https://openalex.org/W3118210634","https://openalex.org/W3203366169","https://openalex.org/W3213131560","https://openalex.org/W3214850722","https://openalex.org/W4225709202","https://openalex.org/W4288055092","https://openalex.org/W4309048260","https://openalex.org/W4315797044","https://openalex.org/W4320485995","https://openalex.org/W4375859090","https://openalex.org/W4380627387","https://openalex.org/W4389672456","https://openalex.org/W4392359185","https://openalex.org/W6912487948","https://openalex.org/W6931031300"],"related_works":["https://openalex.org/W2134613344","https://openalex.org/W3033912009","https://openalex.org/W1996213744","https://openalex.org/W53386123","https://openalex.org/W4361793353","https://openalex.org/W2015617570","https://openalex.org/W1989951390","https://openalex.org/W4388128801","https://openalex.org/W3099751259","https://openalex.org/W2907946793"],"abstract_inverted_index":{"Abstract":[0],"Quantum":[1],"noise":[2],"is":[3,163],"currently":[4],"limiting":[5],"efficient":[6],"quantum":[7,19,32,75,101,153],"information":[8],"processing":[9],"and":[10,16,30,85,96,99,122,156],"computation,":[11],"impacting":[12],"on":[13],"the":[14,26,36,70,138,147],"fidelity":[15],"reliability":[17],"of":[18,28,38,74,77,110,140,149],"states.":[20],"In":[21],"this":[22],"work,":[23],"we":[24,55,86,144],"consider":[25,146],"tasks":[27],"reconstructing":[29],"classifying":[31],"states":[33,76],"corrupted":[34],"by":[35],"action":[37],"an":[39,59],"unknown":[40],"noisy":[41,83,154],"channel":[42],"using":[43],"classical":[44],"feed-forward":[45],"neural":[46,160],"networks.":[47],"By":[48],"framing":[49],"reconstruction":[50],"as":[51,124],"a":[52,107,115,159,168],"regression":[53],"problem,":[54],"show":[56,157],"how":[57,158],"such":[58,167],"approach":[60],"can":[61],"be":[62],"used":[63],"to":[64,79,165],"recover":[65],"with":[66,90,171],"fidelities":[67],"exceeding":[68],"99%":[69],"noiseless":[71],"density":[72],"matrices":[73],"up":[78],"three":[80],"qubits":[81],"undergoing":[82],"evolution,":[84],"test":[87],"its":[88],"performance":[89],"both":[91],"single-qubit":[92],"(bit-flip,":[93],"phase-flip,":[94],"depolarizing,":[95],"amplitude":[97,104],"damping)":[98],"two-qubit":[100],"channels":[102],"(correlated":[103],"damping).":[105],"Furthermore,":[106],"critical":[108],"aspect":[109],"our":[111],"investigation":[112],"involves":[113],"also":[114,145],"comprehensive":[116],"comparison":[117],"between":[118,151],"mean":[119],"squared":[120],"error":[121],"infidelity":[123],"loss":[125],"functions.":[126],"Our":[127],"findings":[128],"reveal":[129],"that":[130],"these":[131],"two":[132],"metrics":[133],"yield":[134],"comparable":[135],"results":[136],"in":[137],"context":[139],"state":[141],"reconstruction.":[142],"Moreover,":[143],"task":[148],"distinguishing":[150],"different":[152],"channels,":[155],"network-based":[161],"classifier":[162],"able":[164],"solve":[166],"classification":[169],"problem":[170],"perfect":[172],"accuracy.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
