{"id":"https://openalex.org/W7216523818","doi":"https://doi.org/10.48550/arxiv.2610.00561","title":"Optimal two-mode bosonic loss codes from finite group symmetry","display_name":"Optimal two-mode bosonic loss codes from finite group symmetry","publication_year":2026,"publication_date":"2026-09-30","ids":{"openalex":"https://openalex.org/W7216523818","doi":"https://doi.org/10.48550/arxiv.2610.00561"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.00561","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00561","pdf_url":"https://arxiv.org/pdf/2610.00561","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/2610.00561","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079587125","display_name":"Argyris Giannisis Manes","orcid":"https://orcid.org/0009-0007-5566-7223","observed_orcids":["https://orcid.org/0009-0007-5566-7223"]},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Manes, Argyris Giannisis","raw_affiliation_strings":["Chicago Quantum Institute and","Chicago Quantum Institute and Pritzker School of Molecular Engineering , University of Chicago , Illinois 60637 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chicago Quantum Institute and","institution_ids":[]},{"raw_affiliation_string":"Chicago Quantum Institute and Pritzker School of Molecular Engineering , University of Chicago , Illinois 60637 , USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133009634","display_name":"Mahadevan Subramanian","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Subramanian, Mahadevan","raw_affiliation_strings":["Chicago Quantum Institute and Pritzker School of Molecular Engineering , University of Chicago , Illinois 60637 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chicago Quantum Institute and Pritzker School of Molecular Engineering , University of Chicago , Illinois 60637 , USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5155154103","display_name":"Liang Jiang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiang, Liang","raw_affiliation_strings":["Chicago Quantum Institute and Pritzker School of Molecular Engineering , University of Chicago , Illinois 60637 , USA","Pritzker School of Molecular Engineering , University of Chicago , Illinois 60637 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chicago Quantum Institute and Pritzker School of Molecular Engineering , University of Chicago , Illinois 60637 , USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Pritzker School of Molecular Engineering , University of Chicago , Illinois 60637 , USA","institution_ids":["https://openalex.org/I40347166"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I40347166"],"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.8817999958992004,"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":0.8817999958992004,"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":0.11129999905824661,"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/T11130","display_name":"Coding theory and cryptography","score":0.0012000000569969416,"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/bosonic-quantum-error-correction","display_name":"bosonic quantum error correction","score":0.7200000286102295},{"id":"https://openalex.org/keywords/photon-loss","display_name":"photon loss","score":0.9179999828338623},{"id":"https://openalex.org/keywords/knill-laflamme-conditions","display_name":"Knill-Laflamme conditions","score":0.8629999756813049},{"id":"https://openalex.org/keywords/entanglement-fidelity","display_name":"entanglement fidelity","score":0.7739999890327454},{"id":"https://openalex.org/keywords/irreducible-representations","display_name":"irreducible representations","score":0.7599999904632568},{"id":"https://openalex.org/keywords/binary-polyhedral-groups","display_name":"binary polyhedral groups","score":0.8830000162124634},{"id":"https://openalex.org/keywords/superconducting-cavities","display_name":"superconducting cavities","score":0.6700000166893005},{"id":"https://openalex.org/keywords/linear-programming-bounds","display_name":"linear programming bounds","score":0.44699999690055847}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6083999872207642},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.5738999843597412},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.4629000127315521},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45179998874664307},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.43869999051094055},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.3978999853134155},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.36910000443458557},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.3619999885559082},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.34459999203681946},{"id":"https://openalex.org/C159317903","wikidata":"https://www.wikidata.org/wiki/Q3198","display_name":"Photon","level":2,"score":0.3208000063896179},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.3149999976158142},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30649998784065247},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.3043999969959259},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.29820001125335693},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.29429998993873596},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.29409998655319214},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2678000032901764},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.2635999917984009},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.25690001249313354},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.2567000091075897},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.00561","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00561","pdf_url":"https://arxiv.org/pdf/2610.00561","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.2610.00561","doi":"https://doi.org/10.48550/arxiv.2610.00561","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.00561","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:2610.00561","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00561","pdf_url":"https://arxiv.org/pdf/2610.00561","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7216523818.pdf","grobid_xml":"https://content.openalex.org/works/W7216523818.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2792057424","https://openalex.org/W2756356613","https://openalex.org/W2747029072","https://openalex.org/W7213997345","https://openalex.org/W4311251563","https://openalex.org/W4376959346","https://openalex.org/W3025396422","https://openalex.org/W7167710119","https://openalex.org/W4392426604","https://openalex.org/W2301659878"],"abstract_inverted_index":{"Photon":[0],"loss":[1,31,141],"is":[2,157],"a":[3,168,214],"dominant":[4],"noise":[5],"process":[6],"in":[7,17,36,50,143,159],"bosonic":[8,19],"quantum":[9],"hardware,":[10],"including":[11],"superconducting":[12],"cavities.":[13],"Fixed-total-photon-number":[14],"qubit":[15],"encodings":[16],"two":[18],"modes":[20],"retain":[21],"the":[22,71,101,127,138,146,153,164,186,191,204,231],"loss-detection":[23],"advantage":[24],"of":[25,92,104,145],"dual-rail":[26],"qubits":[27],"while":[28],"supporting":[29],"photon":[30,161,172,233],"correction.":[32],"Optimizing":[33],"entanglement":[34],"fidelity":[35],"this":[37,67],"setting":[38],"for":[39,75,195,220],"$4\\leq":[40],"n\\leq25$":[41],"over":[42],"arbitrary":[43,76],"encoders":[44],"and":[45,60,94,122,149,175,213],"decoders":[46],"reveals":[47],"finite-group":[48],"structure":[49],"every":[51,89,95,228],"best-found":[52],"code:":[53],"11":[54,61],"correspond":[55],"to":[56,62,82,107,118,226],"two-dimensional":[57],"irreducible":[58],"representations":[59],"reducible":[63],"ones.":[64],"Motivated":[65],"by":[66,126],"emergence,":[68],"we":[69,98,150,166],"derive":[70],"necessary-and-sufficient":[72],"Knill-Laflamme":[73],"conditions":[74],"finite-group-invariant":[77],"codes,":[78],"reducing":[79],"their":[80,196],"construction":[81],"equations":[83],"on":[84],"representation":[85],"multiplicity":[86],"spaces.":[87],"For":[88],"finite":[90],"subgroup":[91],"$SU(2)$":[93],"tensor":[96],"rank,":[97],"explicitly":[99],"construct":[100,176],"minimum":[102,232],"number":[103,173],"operators":[105],"required":[106],"impose":[108],"all":[109,199],"corresponding":[110,178],"loss-correction":[111],"constraints.":[112],"These":[113],"results":[114],"produce":[115],"analytic":[116],"counterparts":[117],"most":[119],"numerical":[120],"codes":[121,136,189],"predict":[123],"constructions":[124],"missed":[125],"initial":[128],"search.":[129],"Exact":[130],"MacWilliams-Farkas":[131],"certificates":[132],"show":[133],"that":[134,152],"our":[135,184],"achieve":[137],"maximum":[139],"possible":[140],"distance":[142,155,181,207,229],"21":[144],"22":[147],"sectors,":[148],"prove":[151],"resulting":[154],"bound":[156],"monotone":[158],"total":[160],"number.":[162,234],"Beyond":[163],"scan,":[165],"identify":[167],"binary-polyhedral":[169],"sequence":[170],"with":[171],"$n_d=\\lceil(3d^2+1)/4\\rceil$":[174],"each":[177],"code":[179,223],"through":[180,201],"$d=10$.":[182],"To":[183],"knowledge,":[185],"constructed":[187],"$(n,d)=(28,6),(49,8),(76,10)$":[188],"give":[190],"smallest":[192],"reported":[193],"$n$":[194],"respective":[197],"distances;":[198],"members":[200],"$d=9$":[202],"attain":[203,227],"fixed-$n$":[205],"LP":[206],"bound.":[208],"Together,":[209],"these":[210],"constructions,":[211],"certificates,":[212],"symmetry-reduced":[215],"constraint":[216],"count":[217],"provide":[218],"evidence":[219],"an":[221],"infinite":[222],"family":[224],"conjectured":[225],"at":[230]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-03T00:00:00"}
