{"id":"https://openalex.org/W7203929847","doi":"https://doi.org/10.48550/arxiv.2608.18886","title":"The exact price of local realism in CHSH experiments: a measurement-dependence-detection trade-off surface, a moir\u00e9 phase-locking mechanism that saturates it, and an unmeasured fringe in the fourfold coincidence sum","display_name":"The exact price of local realism in CHSH experiments: a measurement-dependence-detection trade-off surface, a moir\u00e9 phase-locking mechanism that saturates it, and an unmeasured fringe in the fourfold coincidence sum","publication_year":2026,"publication_date":"2026-08-19","ids":{"openalex":"https://openalex.org/W7203929847","doi":"https://doi.org/10.48550/arxiv.2608.18886"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.18886","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.18886","pdf_url":"https://arxiv.org/pdf/2608.18886","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/2608.18886","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5141153035","display_name":"Aaron Alai","orcid":"https://orcid.org/0000-0003-4704-7271","observed_orcids":["https://orcid.org/0000-0003-4704-7271"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alai, Aaron","raw_affiliation_strings":["Baltimore , Maryland , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baltimore , Maryland , USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5141153035"],"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9955999851226807,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9955999851226807,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.0010000000474974513,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/chsh-inequality","display_name":"CHSH inequality","score":0.8709999918937683},{"id":"https://openalex.org/keywords/local-hidden-variable-theories","display_name":"local hidden variable theories","score":0.7269999980926514},{"id":"https://openalex.org/keywords/measurement-dependence","display_name":"measurement dependence","score":0.843999981880188},{"id":"https://openalex.org/keywords/detection-efficiency","display_name":"detection efficiency","score":0.5699999928474426},{"id":"https://openalex.org/keywords/local-realism","display_name":"local realism","score":0.5460000038146973},{"id":"https://openalex.org/keywords/quantum-correlations","display_name":"quantum correlations","score":0.38999998569488525},{"id":"https://openalex.org/keywords/linear-programming","display_name":"linear programming","score":0.4950000047683716},{"id":"https://openalex.org/keywords/post-selection","display_name":"post-selection","score":0.6740000247955322},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.34599998593330383},{"id":"https://openalex.org/keywords/bell-nonlocality","display_name":"Bell nonlocality","score":0.421999990940094}],"concepts":[{"id":"https://openalex.org/C2779832538","wikidata":"https://www.wikidata.org/wiki/Q2308809","display_name":"Coincidence","level":3,"score":0.7064999938011169},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5557000041007996},{"id":"https://openalex.org/C2777061846","wikidata":"https://www.wikidata.org/wiki/Q7234498","display_name":"Postselection","level":4,"score":0.5188999772071838},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.5131999850273132},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.45669999718666077},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43470001220703125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40790000557899475},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.364300012588501},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.3537999987602234},{"id":"https://openalex.org/C134265032","wikidata":"https://www.wikidata.org/wiki/Q5011347","display_name":"CHSH inequality","level":5,"score":0.34119999408721924},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33550000190734863},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3336000144481659},{"id":"https://openalex.org/C138622882","wikidata":"https://www.wikidata.org/wiki/Q7269079","display_name":"Quantum nonlocality","level":4,"score":0.32690000534057617},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.3073999881744385},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.3034000098705292},{"id":"https://openalex.org/C33062035","wikidata":"https://www.wikidata.org/wiki/Q3296863","display_name":"Singlet state","level":3,"score":0.2867000102996826},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2721000015735626},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.26080000400543213},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.2596000134944916},{"id":"https://openalex.org/C198377831","wikidata":"https://www.wikidata.org/wiki/Q7269027","display_name":"Quantum correlation","level":5,"score":0.2581999897956848},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2524000108242035}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.18886","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.18886","pdf_url":"https://arxiv.org/pdf/2608.18886","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.2608.18886","doi":"https://doi.org/10.48550/arxiv.2608.18886","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.18886","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:2608.18886","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.18886","pdf_url":"https://arxiv.org/pdf/2608.18886","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/W7203929847.pdf","grobid_xml":"https://content.openalex.org/works/W7203929847.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1517642529","https://openalex.org/W2061189330","https://openalex.org/W7099624662","https://openalex.org/W7172438727"],"related_works":["https://openalex.org/W7213427247","https://openalex.org/W2760561648","https://openalex.org/W2121018692","https://openalex.org/W1667871386","https://openalex.org/W7125713204","https://openalex.org/W2072894219","https://openalex.org/W4402188815","https://openalex.org/W7165591116","https://openalex.org/W7165760840","https://openalex.org/W7204157775"],"abstract_inverted_index":{"For":[0],"local":[1,53,204],"hidden-variable":[2],"accounts":[3],"of":[4,22,116,129,163,200],"the":[5,13,35,65,69,88,98,130,142,193,217,226,254],"CHSH":[6,46,144],"experiment":[7],"that":[8],"are":[9],"faithful":[10],"--":[11,32],"reproducing":[12],"observed":[14],"singles":[15],"and":[16,19,68,81,101,106,152,174,213,246],"coincidence":[17,108,132],"rates":[18,109],"unbiased":[20],"marginals":[21],"a":[23,45,93,125,160,175,189,197,239],"polarization":[24],"singlet":[25,99],"with":[26,119,156,209,225],"symmetric":[27],"detector":[28],"efficiency":[29],"$\u03b7_{\\rm":[30,222,232],"eff}$":[31],"I":[33,86],"determine":[34],"minimal":[36],"measurement":[37,120],"dependence":[38,121],"$M$":[39,123],"(Hall's":[40],"measure)":[41],"needed":[42],"to":[43,135,159,196],"reach":[44,183],"value":[47],"$S$.":[48],"Linear":[49],"programming":[50],"over":[51],"all":[52],"strategies":[54],"yields":[55],"$M(S,\u03b7_{\\rm":[56],"eff})=\\max\\{0,\u03b7_{\\rm":[57],"eff}((S+2)\u03b7_{\\rm":[58],"eff}-4)/6\\}$,":[59],"whose":[60],"edges":[61],"reproduce":[62],"Hall's":[63],"bound,":[64],"Garg-Mermin":[66],"threshold,":[67],"postselection":[70],"ceiling.":[71],"The":[72],"quantum":[73,104],"point":[74],"is":[75,169,247],"certified":[76,218],"exactly:":[77],"$M(2\\sqrt{2},9/10)=(27\\sqrt{2}-33)/100$,":[78],"by":[79,250],"primal":[80],"dual":[82],"certificates":[83],"in":[84,112,137],"$\\mathbb{Q}(\\sqrt{2})$.":[85],"solve":[87],"detection":[89,158,161,198],"profile":[90,118],"under":[91],"which":[92],"deterministic":[94,210],"sign":[95],"model":[96],"reproduces":[97],"exactly,":[100],"prove":[102],"exact":[103],"correlations":[105],"angle-independent":[107],"jointly":[110],"impossible":[111],"this":[113,117],"class.":[114],"Mixtures":[115],"trade":[122],"against":[124,180],"$\\cos":[126],"4(a-b)$":[127],"modulation":[128],"fourfold":[131],"sum,":[133],"up":[134],"12.4%":[136],"relative":[138],"amplitude,":[139],"identical":[140],"at":[141,185,221,231],"two":[143],"angles;":[145],"existing":[146],"data":[147],"exclude":[148],"its":[149,154,166],"full":[150],"amplitude":[151],"bound":[153],"mixtures":[155],"flat":[157,190],"share":[162,199],"order":[164,201],"15%;":[165],"sub-percent":[167],"content":[168],"unbounded.":[170],"A":[171,203],"two-setting":[172],"cross-ratio":[173],"settings-torus":[176],"log-Fourier":[177],"protocol,":[178],"calibrated":[179],"channel-efficiency":[181],"imbalance,":[182],"$5\u03c3$":[184],"0.1%":[186],"within":[187],"hours;":[188],"result":[191],"excludes":[192],"solved":[194,227],"family":[195],"1%.":[202],"mechanism,":[205],"moir\u00e9":[206],"phase":[207,211],"locking,":[208],"evolution":[212],"quenched":[214],"randomness,":[215],"attains":[216],"floor":[219],"exactly":[220],"eff}=1$":[223],"and,":[224],"profile,":[228],"reaches":[229],"$M=0$":[230],"eff}\\approx":[233],"0.80$.":[234],"Its":[235],"floor-attaining":[236],"census":[237],"shares":[238],"low-order":[240],"Fourier":[241],"skeleton":[242],"across":[243],"independent":[244],"solutions":[245],"not":[248],"realizable":[249],"station-local":[251],"offsets":[252],"on":[253],"terrains":[255],"tested.":[256]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-22T00:00:00"}
