{"id":"https://openalex.org/W7212082142","doi":"https://doi.org/10.48550/arxiv.2609.05699","title":"Generating quantum error correcting codes from topological pre-thermal scars","display_name":"Generating quantum error correcting codes from topological pre-thermal scars","publication_year":2026,"publication_date":"2026-09-04","ids":{"openalex":"https://openalex.org/W7212082142","doi":"https://doi.org/10.48550/arxiv.2609.05699"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.05699","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.05699","pdf_url":"https://arxiv.org/pdf/2609.05699","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/2609.05699","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000453441","display_name":"W. N. Faugno","orcid":"https://orcid.org/0000-0003-4488-3004","observed_orcids":["https://orcid.org/0000-0003-4488-3004"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I187986737","display_name":"Coll\u00e8ge de France","ror":"https://ror.org/04ex24z53","country_code":"FR","type":"education","lineage":["https://openalex.org/I187986737"]},{"id":"https://openalex.org/I2746051580","display_name":"Universit\u00e9 Paris Sciences et Lettres","ror":"https://ror.org/013cjyk83","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580"]},{"id":"https://openalex.org/I2801195679","display_name":"Laboratoire Kastler Brossel","ror":"https://ror.org/01h14ww21","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I187986737","https://openalex.org/I2746051580","https://openalex.org/I2801195679","https://openalex.org/I29607241","https://openalex.org/I39804081","https://openalex.org/I4210098836"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Faugno, William N.","raw_affiliation_strings":["Laboratoire Kastler Brossel , Coll\u00e8ge de France , CNRS , ENS-Universit\u00e9 PSL ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Kastler Brossel , Coll\u00e8ge de France , CNRS , ENS-Universit\u00e9 PSL ,","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I187986737","https://openalex.org/I2746051580","https://openalex.org/I2801195679","https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106163728","display_name":"Frank Barrows","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Barrows, Frank","raw_affiliation_strings":["Theoretical Division (T-4) , Los Alamos National Laboratory , Los Alamos , New Mexico 87545 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Division (T-4) , Los Alamos National Laboratory , Los Alamos , New Mexico 87545 , USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087406539","display_name":"Terry A. Loring","orcid":"https://orcid.org/0000-0003-1379-6047","observed_orcids":["https://orcid.org/0000-0003-1379-6047"]},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Loring, Terry A.","raw_affiliation_strings":["Department of Mathematics and Statistics , University of New Mexico , Albuquerque , New Mexico 87131 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of New Mexico , Albuquerque , New Mexico 87131 , USA","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083932690","display_name":"Nathan Goldman","orcid":"https://orcid.org/0000-0002-0757-7289","observed_orcids":["https://orcid.org/0000-0002-0757-7289"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Goldman, Nathan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5062495534","display_name":"Alexander Cerjan","orcid":"https://orcid.org/0000-0002-4362-7300","observed_orcids":["https://orcid.org/0000-0002-4362-7300"]},"institutions":[{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210127218","display_name":"Center for Integrated Nanotechnologies","ror":"https://ror.org/031yh0y38","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210104735","https://openalex.org/I4210120050","https://openalex.org/I4210127218"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cerjan, Alexander","raw_affiliation_strings":["Center for Integrated Nanotechnologies , Sandia National Laboratories , Albuquerque , New Mexico 87185 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Integrated Nanotechnologies , Sandia National Laboratories , Albuquerque , New Mexico 87185 , USA","institution_ids":["https://openalex.org/I4210104735","https://openalex.org/I4210127218"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":9,"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/T11804","display_name":"Quantum many-body systems","score":0.9965999722480774,"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/T11804","display_name":"Quantum many-body systems","score":0.9965999722480774,"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":0.002099999925121665,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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-error-correcting-codes","display_name":"quantum error-correcting codes","score":0.8759999871253967},{"id":"https://openalex.org/keywords/many-body-scars","display_name":"many-body scars","score":0.7799999713897705},{"id":"https://openalex.org/keywords/prethermalization","display_name":"prethermalization","score":0.8109999895095825},{"id":"https://openalex.org/keywords/spectral-localizer","display_name":"spectral localizer","score":0.8949999809265137},{"id":"https://openalex.org/keywords/topological-indices","display_name":"topological indices","score":0.7940000295639038},{"id":"https://openalex.org/keywords/knill-laflamme-conditions","display_name":"Knill-Laflamme conditions","score":0.9580000042915344},{"id":"https://openalex.org/keywords/pxp-model","display_name":"PXP model","score":0.675000011920929},{"id":"https://openalex.org/keywords/pseudospectral-method","display_name":"pseudospectral method","score":0.8220000267028809},{"id":"https://openalex.org/keywords/quantum-information-protection","display_name":"quantum information protection","score":0.4970000088214874}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6578999757766724},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.5708000063896179},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4717000126838684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4652999937534332},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45339998602867126},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4214000105857849},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3968999981880188},{"id":"https://openalex.org/C84883863","wikidata":"https://www.wikidata.org/wiki/Q7825777","display_name":"Toric code","level":4,"score":0.3917999863624573},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.38920000195503235},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3797000050544739},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3723999857902527},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36739999055862427},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.3546999990940094},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3167000114917755},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.31380000710487366},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29420000314712524},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.29260000586509705},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2888000011444092},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2865000069141388},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.28189998865127563},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.28110000491142273},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.2806999981403351},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2720000147819519},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2590999901294708}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.05699","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.05699","pdf_url":"https://arxiv.org/pdf/2609.05699","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.2609.05699","doi":"https://doi.org/10.48550/arxiv.2609.05699","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.05699","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:2609.05699","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.05699","pdf_url":"https://arxiv.org/pdf/2609.05699","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/W7212082142.pdf","grobid_xml":"https://content.openalex.org/works/W7212082142.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1919133474","https://openalex.org/W2786701806","https://openalex.org/W3117010896","https://openalex.org/W4318999761","https://openalex.org/W4390723191","https://openalex.org/W4404749475","https://openalex.org/W4417261299","https://openalex.org/W7117574420"],"related_works":["https://openalex.org/W7208781077","https://openalex.org/W7054665865","https://openalex.org/W4414620172","https://openalex.org/W3039906821","https://openalex.org/W3100547304","https://openalex.org/W4415227590","https://openalex.org/W6884875842","https://openalex.org/W4221166986","https://openalex.org/W2134092651","https://openalex.org/W4385698070"],"abstract_inverted_index":{"Quantum":[0],"many-body":[1,69,88,99,190],"scars":[2,96],"are":[3],"rare":[4],"nonthermal":[5,189],"states":[6,31,75,191],"embedded":[7],"within":[8,97],"otherwise":[9],"thermalizing":[10],"spectra,":[11],"making":[12],"them":[13,194],"promising":[14],"candidates":[15],"for":[16,74,195,208],"storing":[17],"and":[18,40,80,145,158,163,168,199],"manipulating":[19],"quantum":[20,46,64,148,174,197,214],"information.":[21],"However,":[22],"a":[23,45,68,81,87,104,184,204],"general":[24],"framework":[25,58,155],"that":[26],"can":[27,129],"both":[28],"identify":[29],"such":[30],"without":[32],"prior":[33],"knowledge":[34],"of":[35,116,134],"their":[36,110,127],"microscopic":[37],"scarring":[38],"mechanism":[39],"determine":[41,109],"when":[42],"they":[43],"enable":[44],"error":[47,65,138],"correcting":[48],"code":[49,175],"has":[50],"remained":[51],"elusive.":[52],"Here,":[53],"we":[54],"develop":[55],"an":[56,141,146],"end-to-end":[57],"connecting":[59],"nonthermal-state":[60],"discovery":[61],"to":[62,192],"certifiable":[63],"correction":[66],"using":[67],"spectral":[70,92],"localizer.":[71],"By":[72],"searching":[73],"jointly":[76],"localized":[77],"in":[78,84,101,156,164,176,212],"energy":[79],"diagnostic":[82],"observable":[83],"systems":[85],"with":[86,103],"grading":[89,120],"symmetry,":[90],"the":[91,119,131,153,165,171,177],"localizer":[93],"identifies":[94],"candidate":[95],"dense":[98],"spectra":[100],"tandem":[102],"topological":[105],"index":[106],"whose":[107],"shifts":[108],"graded":[111],"subspace.":[112],"For":[113],"suitable":[114],"pairs":[115],"same-graded":[117],"scars,":[118],"renders":[121],"grading-odd":[122],"errors":[123],"exactly":[124],"detectable,":[125],"while":[126],"localization":[128],"suppress":[130],"logical":[132],"action":[133],"sufficiently":[135],"local":[136],"grading-even":[137],"products,":[139],"yielding":[140],"approximate":[142,173],"Knill--Laflamme":[143],"condition":[144],"operator-algebra":[147],"error-correction":[149],"structure.":[150],"We":[151],"demonstrate":[152],"scar-identification":[154],"one-":[157],"two-dimensional":[159],"density-difference-dependent":[160],"bosonic":[161,179],"models":[162],"PXP":[166],"model,":[167],"explicitly":[169],"construct":[170],"resulting":[172],"one-dimensional":[178],"system.":[180],"Our":[181],"results":[182],"establish":[183],"systematic":[185],"route":[186],"from":[187],"identifying":[188],"exploiting":[193],"protecting":[196],"information,":[198],"position":[200],"pseudospectral":[201],"methods":[202],"as":[203],"broadly":[205],"applicable":[206],"tool":[207],"discovering":[209],"useful":[210],"behaviors":[211],"interacting":[213],"systems.":[215]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-10T00:00:00"}