{"id":"https://openalex.org/W7222465867","doi":"https://doi.org/10.48550/arxiv.2610.22308","title":"Classical Capacity of Single-Mode Bosonic Gaussian Channels","display_name":"Classical Capacity of Single-Mode Bosonic Gaussian Channels","publication_year":2026,"publication_date":"2026-10-15","ids":{"openalex":"https://openalex.org/W7222465867","doi":"https://doi.org/10.48550/arxiv.2610.22308"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.22308","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.22308","pdf_url":"https://arxiv.org/pdf/2610.22308","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.22308","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052736954","display_name":"Gerardo Adesso","orcid":"https://orcid.org/0000-0001-7136-3755","observed_orcids":["https://orcid.org/0000-0001-7136-3755"]},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Adesso, Gerardo","raw_affiliation_strings":["School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems , University of Nottingham , University Park , Nottingham NG7 2RD , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems , University of Nottingham , University Park , Nottingham NG7 2RD , United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041655532","display_name":"Ludovico Lami","orcid":"https://orcid.org/0000-0003-3290-3557","observed_orcids":["https://orcid.org/0000-0003-3290-3557"]},"institutions":[{"id":"https://openalex.org/I157210198","display_name":"Scuola Normale Superiore","ror":"https://ror.org/03aydme10","country_code":"IT","type":"education","lineage":["https://openalex.org/I157210198"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lami, Ludovico","raw_affiliation_strings":["Scuola Normale Superiore , Piazza dei Cavalieri 7 , 56126 Pisa , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scuola Normale Superiore , Piazza dei Cavalieri 7 , 56126 Pisa , Italy","institution_ids":["https://openalex.org/I157210198"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025356866","display_name":"Vittorio Giovannetti","orcid":"https://orcid.org/0000-0002-7636-9002","observed_orcids":["https://orcid.org/0000-0002-7636-9002"]},"institutions":[{"id":"https://openalex.org/I157210198","display_name":"Scuola Normale Superiore","ror":"https://ror.org/03aydme10","country_code":"IT","type":"education","lineage":["https://openalex.org/I157210198"]},{"id":"https://openalex.org/I4210087815","display_name":"Istituto Nanoscienze","ror":"https://ror.org/0042e5975","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210087815","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210108356","display_name":"National Enterprise for NanoScience and NanoTechnology","ror":"https://ror.org/01sgfhb12","country_code":"IT","type":"facility","lineage":["https://openalex.org/I157210198","https://openalex.org/I162290304","https://openalex.org/I30771326","https://openalex.org/I4210087815","https://openalex.org/I4210108356","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovannetti, Vittorio","raw_affiliation_strings":["NEST , Scuola Normale Superiore and Istituto Nanoscienze-CNR , Piazza dei Cavalieri 7 , 56126 Pisa , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NEST , Scuola Normale Superiore and Istituto Nanoscienze-CNR , Piazza dei Cavalieri 7 , 56126 Pisa , Italy","institution_ids":["https://openalex.org/I157210198","https://openalex.org/I4210087815","https://openalex.org/I4210108356"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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":0.9984999895095825,"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":0.9984999895095825,"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":0.00019999999494757503,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":9.999999747378752e-05,"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/classical-capacity","display_name":"classical capacity","score":0.9879999756813049},{"id":"https://openalex.org/keywords/bosonic-gaussian-channels","display_name":"bosonic Gaussian channels","score":0.9860000014305115},{"id":"https://openalex.org/keywords/holevo-information","display_name":"Holevo information","score":0.8100000023841858},{"id":"https://openalex.org/keywords/additivity","display_name":"additivity","score":0.753000020980835},{"id":"https://openalex.org/keywords/gaussian-states","display_name":"Gaussian states","score":0.4050000011920929},{"id":"https://openalex.org/keywords/random-displacement","display_name":"random displacement","score":0.6359999775886536},{"id":"https://openalex.org/keywords/squeezing","display_name":"squeezing","score":0.5509999990463257},{"id":"https://openalex.org/keywords/entanglement-inequalities","display_name":"entanglement inequalities","score":0.8339999914169312},{"id":"https://openalex.org/keywords/output-entropy","display_name":"output entropy","score":0.875},{"id":"https://openalex.org/keywords/optical-communication","display_name":"optical communication","score":0.37599998712539673}],"concepts":[{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.6880999803543091},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.682200014591217},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6622999906539917},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6575999855995178},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6169000267982483},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5722000002861023},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5515999794006348},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5443999767303467},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4975000023841858},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4862000048160553},{"id":"https://openalex.org/C159317903","wikidata":"https://www.wikidata.org/wiki/Q3198","display_name":"Photon","level":2,"score":0.4462999999523163},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43799999356269836},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.4235000014305115},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.390500009059906},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.38850000500679016},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.36719998717308044},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.35920000076293945},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.34290000796318054},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3012000024318695},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2994000017642975},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.2937000095844269},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.28189998865127563},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2818000018596649},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27549999952316284},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.27390000224113464},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.27300000190734863},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C72659945","wikidata":"https://www.wikidata.org/wiki/Q1503574","display_name":"Shot noise","level":3,"score":0.26739999651908875},{"id":"https://openalex.org/C2781402376","wikidata":"https://www.wikidata.org/wiki/Q17126172","display_name":"Photon counting","level":3,"score":0.26739999651908875},{"id":"https://openalex.org/C2983848023","wikidata":"https://www.wikidata.org/wiki/Q733553","display_name":"Transmission channel","level":3,"score":0.26739999651908875},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.25780001282691956}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.22308","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.22308","pdf_url":"https://arxiv.org/pdf/2610.22308","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.2610.22308","doi":"https://doi.org/10.48550/arxiv.2610.22308","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.22308","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.22308","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.22308","pdf_url":"https://arxiv.org/pdf/2610.22308","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222465867.pdf","grobid_xml":"https://content.openalex.org/works/W7222465867.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2141185014","https://openalex.org/W7222947525","https://openalex.org/W2063533875","https://openalex.org/W1961148217","https://openalex.org/W2159289537","https://openalex.org/W81050217","https://openalex.org/W7203744470","https://openalex.org/W2146605404","https://openalex.org/W2040133029","https://openalex.org/W2128386771"],"abstract_inverted_index":{"The":[0],"classical":[1,234],"capacity":[2,205,220],"of":[3,37,165,173,233,238,243],"a":[4,20,143,158,193],"noisy":[5],"optical":[6,45,244],"channel":[7,55,79,100,174],"is":[8,68,74,191],"the":[9,23,28,66,70,93,118,122,127,163,171,182,187,199,204,218,230,239],"maximum":[10],"rate":[11,49],"at":[12,101,206,221],"which":[13,33],"information":[14,73,132],"can":[15,60],"be":[16],"transmitted":[17],"reliably,":[18],"given":[19],"constraint":[21],"on":[22,148,181],"mean":[24,188,207,222],"input":[25,103],"energy.":[26,104],"For":[27],"ubiquitous":[29],"bosonic":[30,98],"Gaussian":[31,62,85,99,111],"channels,":[32],"include":[34],"standard":[35],"models":[36,242],"loss":[38],"and":[39,43,81,176,211],"noise":[40],"in":[41,92,121,133],"fibre":[42],"free-space":[44],"links,":[46],"determining":[47],"this":[48],"requires":[50],"addressing":[51],"whether":[52,69],"entanglement":[53,140],"between":[54],"uses":[56,80],"or":[57],"non-Gaussian":[58],"signals":[59,128],"outperform":[61],"encodings.":[63],"More":[64],"precisely,":[65],"question":[67],"energy-constrained":[71],"Holevo":[72],"additive":[75,145],"across":[76],"arbitrarily":[77],"many":[78],"coincides":[82],"with":[83,113,130,170],"its":[84],"counterpart.":[86],"We":[87,151],"answer":[88],"these":[89,227],"fundamental":[90,241],"questions":[91],"affirmative":[94],"for":[95,236],"every":[96,102],"single-mode":[97],"Namely,":[105],"we":[106,177],"prove":[107],"that":[108],"independently":[109],"prepared":[110],"states":[112],"Gaussian-distributed":[114],"random":[115],"displacements":[116],"achieve":[117],"capacity,":[119],"including":[120],"low-energy":[123],"regime":[124],"where":[125],"squeezing":[126],"competes":[129],"encoding":[131],"their":[134],"displacement.":[135],"Our":[136],"proof":[137],"connects":[138],"an":[139],"inequality":[141],"to":[142],"sharp,":[144],"lower":[146],"bound":[147],"output":[149],"entropy.":[150],"then":[152],"characterise":[153],"communication":[154,235],"above":[155],"capacity:":[156],"under":[157],"strict":[159],"total":[160],"photon-number":[161],"cutoff,":[162],"probability":[164],"correct":[166],"decoding":[167,214],"decreases":[168],"exponentially":[169],"number":[172,190,209,224],"uses,":[175],"derive":[178],"explicit":[179],"bounds":[180],"decay":[183],"exponent.":[184],"When":[185],"only":[186],"photon":[189,208,223],"constrained,":[192],"simple":[194],"energy-rescaling":[195],"formula":[196],"determines":[197],"exactly":[198],"entire":[200],"asymptotic":[201],"rate--error":[202],"trade-off:":[203],"$N$":[210],"allowed":[212],"average":[213],"error":[215],"$\u03b5$":[216],"equals":[217],"vanishing-error":[219],"$N/(1-\u03b5)$.":[225],"Together,":[226],"results":[228],"identify":[229],"ultimate":[231],"limits":[232],"some":[237],"most":[240],"communication.":[245]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-17T00:00:00"}
