{"id":"https://openalex.org/W7213504681","doi":"https://doi.org/10.48550/arxiv.2609.17670","title":"Structure of Measurement-Induced Entanglement in Infinite-Randomness Critical States","display_name":"Structure of Measurement-Induced Entanglement in Infinite-Randomness Critical States","publication_year":2026,"publication_date":"2026-09-15","ids":{"openalex":"https://openalex.org/W7213504681","doi":"https://doi.org/10.48550/arxiv.2609.17670"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.17670","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17670","pdf_url":"https://arxiv.org/pdf/2609.17670","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/2609.17670","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093666739","display_name":"Oliver Breach","orcid":"https://orcid.org/0009-0003-1813-0372","observed_orcids":["https://orcid.org/0009-0003-1813-0372"]},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Breach, Oliver","raw_affiliation_strings":["Rudolf Peierls Centre for Theoretical Physics , Clarendon Laboratory , Parks Road , Oxford , OX1 3PU , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rudolf Peierls Centre for Theoretical Physics , Clarendon Laboratory , Parks Road , Oxford , OX1 3PU , UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5093666739"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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":0.9994999766349792,"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":0.9994999766349792,"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/T10591","display_name":"Theoretical and Computational Physics","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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":9.999999747378752e-05,"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/measurement-induced-entanglement","display_name":"measurement-induced entanglement","score":0.9990000128746033},{"id":"https://openalex.org/keywords/infinite-randomness-fixed-point","display_name":"infinite randomness fixed point","score":0.9039999842643738},{"id":"https://openalex.org/keywords/quenched-disorder","display_name":"quenched disorder","score":0.921999990940094},{"id":"https://openalex.org/keywords/critical-state","display_name":"critical state","score":0.8899999856948853},{"id":"https://openalex.org/keywords/random-transverse-field-ising-model","display_name":"random transverse-field Ising model","score":0.9990000128746033},{"id":"https://openalex.org/keywords/long-range-entanglement","display_name":"long-range entanglement","score":0.8730000257492065},{"id":"https://openalex.org/keywords/critical-exponents","display_name":"critical exponents","score":0.8389999866485596},{"id":"https://openalex.org/keywords/one-dimensional-quantum-systems","display_name":"one-dimensional quantum systems","score":0.5860000252723694},{"id":"https://openalex.org/keywords/replica-method","display_name":"replica method","score":0.4740000069141388}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.8824999928474426},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6085000038146973},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.5519999861717224},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.5403000116348267},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5401999950408936},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.5379999876022339},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.531499981880188},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.5123999714851379},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.5116000175476074},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.510699987411499},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.49880000948905945},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.4796999990940094},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.43369999527931213},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.3847000002861023},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.36250001192092896},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.32850000262260437},{"id":"https://openalex.org/C20593774","wikidata":"https://www.wikidata.org/wiki/Q7958522","display_name":"W state","level":4,"score":0.3248000144958496},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.31130000948905945},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3107999861240387},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.289000004529953},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.25780001282691956},{"id":"https://openalex.org/C207789793","wikidata":"https://www.wikidata.org/wiki/Q3028070","display_name":"Critical dimension","level":2,"score":0.2551000118255615},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.17670","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17670","pdf_url":"https://arxiv.org/pdf/2609.17670","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.2609.17670","doi":"https://doi.org/10.48550/arxiv.2609.17670","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.17670","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.17670","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17670","pdf_url":"https://arxiv.org/pdf/2609.17670","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":[{"id":"https://openalex.org/G1941674834","display_name":null,"funder_award_id":"LIP- 202-014","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320336183","display_name":"Clarendon Fund","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213504681.pdf","grobid_xml":"https://content.openalex.org/works/W7213504681.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1698120089","https://openalex.org/W1976341577","https://openalex.org/W1976390224","https://openalex.org/W2006703495","https://openalex.org/W2891056110","https://openalex.org/W3037533686","https://openalex.org/W4387614986","https://openalex.org/W4389333799","https://openalex.org/W4396750335","https://openalex.org/W4400582788","https://openalex.org/W4402955454","https://openalex.org/W4405300899","https://openalex.org/W4410492287","https://openalex.org/W4415141103","https://openalex.org/W4416544194","https://openalex.org/W4416956465","https://openalex.org/W4417464042","https://openalex.org/W7143449855","https://openalex.org/W7172514275","https://openalex.org/W7201911994","https://openalex.org/W7203697165"],"related_works":["https://openalex.org/W7172514275","https://openalex.org/W4381611593","https://openalex.org/W4402955454","https://openalex.org/W7201911994","https://openalex.org/W7163659303","https://openalex.org/W3040094485","https://openalex.org/W4318619848","https://openalex.org/W4377107404","https://openalex.org/W7167938963","https://openalex.org/W3106722198"],"abstract_inverted_index":{"The":[0,215],"impact":[1],"of":[2,41,79,97,147,164,174],"projective":[3],"measurements":[4,28,52,80,98,148,165,185,206],"on":[5,81,99,110,207],"a":[6,46,95,133,155,161],"many-body":[7],"quantum":[8],"state":[9,176],"is":[10,74,166,182],"tightly":[11],"linked":[12],"to":[13,29,150,211],"its":[14],"underlying":[15],"entanglement":[16,25,65,130,153],"structure.":[17],"Critical":[18],"states":[19,43,83,102],"are":[20,177],"particularly":[21],"sensitive,":[22],"as":[23,132,200],"long-range":[24,64],"allows":[26],"local":[27],"have":[30],"global":[31],"consequences.":[32],"This":[33],"has":[34],"been":[35],"extensively":[36],"studied":[37],"in":[38,57,139,222],"the":[39,77,115,120,128,144,171,175,188,193,212,231,236,240],"context":[40],"critical":[42,55,82,101,172,189,208],"described":[44],"by":[45,104,235,239],"conformal":[47],"field":[48],"theory":[49,96],"(CFT),":[50],"where":[51],"can":[53],"alter":[54],"properties":[56,173],"post-measurement":[58],"quantities":[59],"('measurement-altered":[60],"criticality')":[61],"and":[62,119,142],"induce":[63],"with":[66,84,135,184,230],"universal":[67,136,156,232],"features":[68],"('measurement-induced":[69],"entanglement').":[70],"By":[71],"contrast,":[72],"little":[73],"known":[75],"about":[76],"role":[78],"quenched":[85,241],"disorder,":[86],"which":[87],"admit":[88],"no":[89],"CFT":[90,213],"description.":[91],"Here,":[92],"we":[93,168],"develop":[94],"one-dimensional":[100],"governed":[103,234],"infinite-randomness":[105],"fixed":[106],"points":[107],"(IRFPs),":[108],"focusing":[109],"two":[111],"closely":[112],"related":[113],"examples:":[114],"random":[116,121],"XXZ":[117],"chain":[118],"transverse-field":[122],"Ising":[123],"model.":[124],"We":[125],"show":[126,169],"that":[127,143,170,218],"measurement-induced":[129],"decays":[131],"power-law":[134],"exponent":[137],"$(3-\\sqrt{5})/2$":[138],"both":[140],"models,":[141],"minimum":[145],"number":[146],"required":[149],"establish":[151,198],"this":[152],"obeys":[154],"scaling":[157],"form.":[158],"When":[159],"only":[160],"finite":[162],"density":[163],"made,":[167],"remarkably":[178],"robust:":[179],"`measurement-altered":[180],"criticality'":[181],"absent,":[183],"either":[186],"preserving":[187],"exponents,":[190],"or":[191],"destroying":[192],"criticality":[194],"entirely.":[195],"These":[196],"results":[197],"IRFPs":[199],"an":[201],"analytically":[202],"tractable":[203],"arena":[204],"for":[205],"states,":[209],"complementary":[210],"case.":[214],"outcome":[216],"randomness":[217],"necessitates":[219],"replica":[220],"methods":[221],"clean":[223],"systems":[224],"becomes":[225],"trivial":[226],"at":[227],"infinite":[228],"randomness,":[229],"response":[233],"statistics":[237],"induced":[238],"disorder.":[242]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-18T00:00:00"}
